Abstract
This article aims to provide a novel image paradigm for camouflaged object detection, i.e., RGB-D images. To promote the development of camouflaged object detection tasks based on RGB-D images, we construct an RGB-D camouflaged object detection dataset, dubbed CODD. This dataset is obtained by converting the existing salient object detection RGB-D datasets by image-to-image translation techniques, which is comparable to the current widely used camouflaged object detection dataset in terms of diversity and complexity. In particular, in order to obtain high-quality translated images, we design a selection strategy that takes into account the structural similarity between pre- and post-conversion images, the similarity between the appearance of objects and their surroundings, as well as the ambiguity of object boundaries. In addition, we extensively evaluate the CODD dataset using existing RGB-D-based salient object detection methods to validate the challenge and usability of the dataset. The CODD dataset will be available at: https://github.com/zcc0616/CODD-Dateset.git.
1 Introduction
Camouflage, a widespread phenomenon in nature, serves as a crucial survival strategy for organisms to evade predation from natural predators. Organisms adapt their appearance, color, or pattern to blend with their surroundings, thereby reducing the possibility of being discovered by predators [1]. Camouflaged object detection (COD) is a visual detection task that employs techniques such as computer vision and machine learning to identify camouflaged objects hidden in their surroundings and has been widely applied in various fields such as military (e.g., military camouflage patterning [2]), agriculture (e.g., locust early warning [3]), industry (e.g., defect detection [4]), and medicine (e.g., polyp segmentation [5]).
Compared to generic object detection (GOD) and salient object detection (SOD), COD is more challenging because camouflaged objects are highly similar to their surroundings in appearance and difficult to distinguish on boundaries. Over the past two decades, numerous algorithms have been developed for COD [6,7,8,9]. Early methods employed handcrafted low-level features, such as color, texture, and contrast, to distinguish objects from the background and were able to quickly detect objects with a low degree of camouflage. However, they performed poorly or even failed when the scene was complex or the camouflaged object was extremely similar to the background. Recently, people have applied convolutional neural networks (CNNs) to the field of COD, resulting in the development of various CNN-based COD algorithms. Leveraging the powerful feature expression ability of CNN, these algorithms enjoy strong generalization and robustness, which outperform the earlier methods. Furthermore, studies have demonstrated that auxiliary information (e.g., boundary information, texture information, and frequency domain information) can further enhance the performance of COD algorithms. This is because the presence of misleading information in camouflaged scenarios may hinder the network’s ability to learn the most discriminative features, while auxiliary information can guide the network to mine differences between objects and backgrounds and improve the network’s ability in perceiving camouflaged objects.
Xiang et al. [1] have highlighted that the integration of RGB images with depth could be a solution for addressing the challenges of COD. The inclusion of depth information, which serves as an additional cue to the 3D geometry, yields more accurate boundary information and enhanced scale awareness. Consequently, the impact of camouflage is reduced. In addition, in recent years, many scholars have begun to use depth maps as another model on top of RGB images when conducting object segmentation studies and extract the 3D layout of the scene and object shape information from them. As far as we know, there exist no RGB-D datasets that facilitate exploration of COD. Therefore, in this study, we construct the first RGB-D dataset for COD, padding the foundation for subsequent research on the contribution of depth to the COD task.
Images in existing COD datasets are typically sourced from the Internet using specific keywords (e.g., camouflage, camouflaged animals) and labeled manually at the pixel level. However, the acquisition of camouflage data with depth images is hindered because relevant data in this area are still lacking on the Internet. Furthermore, gathering camouflage images through a depth camera would be extremely difficult and costly. The term “salient” is essentially the opposite of “camouflaged” as objects with higher saliency levels tend to exhibit lower levels of camouflage, and vice versa. By comprehending the relationship between salient and camouflaged objects, we can achieve a successful transition from saliency to camouflage by reducing the saliency level of the object. Our goal is to obtain camouflaged images and construct RGB-D COD datasets. Fortunately, scholars have successfully constructed several RGB-D datasets for SOD tasks in recent years. Therefore, under limited realistic conditions, we aspire to achieve our stated goal by utilizing a technique that transforms salient objects into camouflaged counterparts, thus facilitating the salient-to-camouflaged image transformation.
To this end, we first construct an initial SOD dataset (which has corresponding depth maps) and a COD dataset by utilizing existing datasets. Then, the image-to-image translation technique is utilized for style conversion to convert the images in the SOD dataset into camouflaged images. Finally, we design a selection strategy that allows us to identify and retain high-quality converted images. As a result, we obtain the RGB-D dataset for COD, which is referred to as CODD dataset. Additionally, we assess the effectiveness and applicability of the constructed dataset by evaluating it with various SOD methods that are specifically designed to handle RGB-D images. This evaluation serves to demonstrate the challenge and usability of the dataset.
Our main contributions are summarized as:
We propose a novel task of constructing RGB-D datasets for COD and conduct a comprehensive analysis of the challenges involved. To the best of our knowledge, this work is pioneering in exploring the construction of RGB-D datasets for COD, which represents a novel and critical contribution to the field of computer vision.
We realize the style conversion from salient image to camouflaged image with the help of the image-to-image translation technique. A selection strategy for the converted images is designed so that images with similar structure to the label content and a high degree of camouflage are retained, which provides a feasible solution for obtaining high-quality camouflaged images.
An RGB-D benchmark dataset is provided for the COD task, and the utility of the dataset is demonstrated through extensive experiments.
2 Related work
2.1 Camouflaged object detection
2.1.1 Datasets
To promote the development of the COD field, researchers have constructed several COD datasets, among which the CAMO dataset [10], the COD10K dataset [8], and the NC4K dataset [11] are the most widely used. The CAMO dataset contains 1,250 images covering eight categories, of which 1,000 images are used for training and the rest for testing. Currently, the COD10K dataset is the largest COD dataset, which includes 10,000 images (6,000 for training and 4,000 for testing) covering 78 categories with high-quality annotations. The NC4K dataset is currently the largest COD testing dataset with the largest amount of data and contains 4,121 images, which are mainly used for evaluating the effectiveness of models.
2.1.2 Methods
COD is a challenging task due to the high similarity of camouflaged objects to their surroundings and the ambiguity of their boundaries. To solve this task, various solutions have been proposed by scholars. One notable early study is the article [10], which introduces the first standard dataset for COD and develops a straightforward and adaptable end-to-end camouflaged object segmentation network. Subsequently, numerous strategies have been suggested, including multi-task learning [10,11,12], step-by-step refinement [8,13,14], confidence-aware learning [9,15,16], transformer [17,18,19], aiming to enhance the performance of COD models. Recently, some studies have demonstrated that auxiliary information, such as boundary [20,21,22,23], texture [24,25], and frequency [26,27], can guide the model to better mine the differences between camouflaged objects and their surroundings, leading to improved segmentation accuracy. Depth, an essential form of auxiliary information, can reduce the effectiveness of object camouflage and enable the network to recognize camouflaged objects in three-dimensional space, providing novel insights and directions for addressing COD challenges.
2.2 RGB-D salient object detection
2.2.1 Datasets
In recent years, with the rapid development of the SOD field, various RGB-D datasets have been constructed, e.g., STERE [28], DES [29], NLPR [30], LFSD [31], and NJU2K [32]. Among these datasets, STERE, NLPR, and NJU2K are the most widely used. STERE is the first publicly available RGB-D dataset for SOD, which contains 1,000 pairs of RGB and depth images. NLPR also contains 1,000 pairs of RGB and depth images, which are selected from 5,000 pairs of images, covering both indoor and outdoor scenes (e.g., office, supermarket, campus, and street). NJU2K includes 1,985 pairs of images derived from the Internet, 3D movies, and Fuji W3 stereo cameras. Currently, scholars typically employ a training set composed of 1,485 samples from NJU2K and 700 samples from NLPR to train their models and use the remaining samples from the aforementioned two datasets as well as other datasets for model testing.
2.2.2 Methods
The focus of current RGB-D SOD algorithms lies in the fusion of the complementary features extracted from the RGB and depth channels, as each channel represents a different domain. Existing RGB-D SOD models can be categorized into three groups based on the stage where the fusion is performed: early fusion models [33,34], middle fusion models [35,36,37], and late fusion models [38,39]. Early fusion models first concatenate RGB and depth images into four channels, which serve as inputs for saliency detection. For example, Zhao et al. [33] designed a single-stream network that directly employs depth maps to guide the early fusion process between RGB and depth, which saves the coding spend of depth streams. Middle fusion models typically utilize various methods to integrate RGB and deep multiscale features extracted from individual networks. For example, Zhang et al. [35] utilized a bi-directional transfer and selection mechanism, enabling features from different modalities to mutually refine each other so that noise in the features can be reduced. Late fusion models, on the other hand, adopt two separate networks for RGB and depth to generate individual prediction maps. Subsequently, post-processing operations are performed to merge these prediction maps; thus, final results will be obtained. Wang and Gong [38] developed a two-stream CNN to predict the saliency map for each modality separately and adaptively fuse the predictions by learning a switching map.
2.3 Image-to-image translation (I2I)
I2I aims to transform image styles from the source domain to the target domain while preserving content information. Early methods [40,41,42] primarily employed supervised learning for realizing I2I, requiring numerous paired data for model training. However, in practice, collecting paired images is time-consuming, labor-intensive, and even impossible in some domains. To address this problem, CycleGAN [43], DiscoGAN [44], and DualGAN [45], among others, introduced cycle-consistency constraints, enabling models to learn convincing cross-domain mappings from unpaired images, extending I2I tasks to an unsupervised domain. Moreover, Yu et al. [46] proposed a single generator-based model called SingleGAN, which enables to learn various mappings efficiently by introducing multiple adversarial learning in the generator and is suitable for three different translation tasks: one-to-one, one-to-many, and many-to-many. Han et al. [47] proposed a novel method based on contrastive learning and a dual learning setting (exploiting two encoders) to infer an efficient mapping between unpaired data. Cai et al. [48], on the other hand, rethink the utility of contrast learning. They proposed an explicit multi-scale pairwise feature constraint and utilized a discriminative attention-guided negative sampling strategy to replace random negative sampling. The aforementioned approach significantly improves network performance while only requiring an almost negligible amount of computation.
To the best of our knowledge, this is the first work to address the lack of RGB-D datasets for camouflaged object detection. Currently, all images within COD datasets are RGB, and an RGB-D dataset for COD is yet to be established, inevitably impeding the development of the COD domain and hindering the advancement of related algorithms. Consequently, this article aims to construct a practical RGB-D dataset for COD to fill the current gap in the field. Thanks to the success of I2I technique, we can utilize I2I models to transform saliency images into camouflage images, making it possible to achieve the stated goal.
3 Proposed method
With the powerful style conversion capability of the I2I model, it is possible to convert unpaired saliency-style images into camouflage-style images. However, they are imperfect in the sense that there are significant differences between the source domain (saliency images) and the target domain (camouflage images), and each model may be advantageous for some image transformations but disadvantageous for other images. To utilize the strengths of each I2I model, we design a simple yet effective selection strategy for obtaining high-quality transformed images by comparing the structural similarity as well as the level of object camouflage.
Figure 1 illustrates the whole process of constructing our CODD dataset. We first construct the source domain dataset and target domain dataset by leveraging existing datasets. Then, the I2I models are employed to generate an initial CODD dataset. Finally, a selection strategy is implemented to find out the image that corresponds to the best transformation result for each image, and then, high-quality images are merged to obtain the CODD dataset.

Frame diagram for CODD dataset construction.
3.1 Data preparation
1) Source domain dataset: The SOD RGB-D datasets with depth maps and labeling data have the potential to be used as source domain datasets. However, since the primary focus of the COD task is on animals, it is necessary to include animal images in the source domain for the translated images to meet the requirements of the task. According to the aforementioned analysis, we first reviewed the currently existing SOD RGB-D datasets and determined that NJU2K should be used as the baseline. Subsequently, all images containing animals were selected from the NJU2K dataset, and a source-domain dataset containing 455 images was constructed. 2) Target domain dataset: The target-domain dataset was constructed based on the widely used CAMO dataset. Upon observing the images in the CAMO dataset, it was observed that some objects in these images were not well camouflaged, which could inevitably impact the performance of image translation. To address this issue, we asked three people to screen the CAMO dataset to remove images with poor camouflage. As a result, a target domain dataset of equivalent size to the source domain dataset was ultimately constructed.
3.2 Initial database generation
We used 12 unpaired I2I models for image transformation, including CycleGAN [43], UNIT [49], DRIT [50], SingleGAN [46], CUT [51], TSIT [52], DCLGAN [47], AttentionGAN [53], GLANet [54], EnCo [48], GP-UNIT [55], and UNSB [56]. The images generated by all of these models jointly formed the initial dataset. Figure 2 shows the development timeline for individual models. All models were sourced from publicly available code provided by their respective authors and implemented under PyTorch framework. The generation process of the initial dataset can be divided into two stages. In the first stage, each model was trained independently with the source domain dataset and the target domain dataset. In the second stage, each model loaded the trained weights and performed image transformation.

Timeline of I2I models.
3.3 Selection strategy
To better select the translated images, we designed a simple and efficient selection strategy, which finds our desired images in a coarse-to-fine manner. First, we utilized S-measure [57] to evaluate the structural similarity of the initial dataset and remove images with low similarity. This step is crucial as it ensures that the converted images possess high structural coherence with the source domain images, allowing them to share the labeled data and depth images with the source domain images. Second, to identify images with superior camouflage performance from the retained images, we proposed a contrast metric, considering the pixel-level similarity between objects and its surroundings as well as the ambiguity of boundary:
where
4 Dataset description and statistics
In this section, we describe the dataset constructed specifically for the RGB-D COD task. Figure 3 shows some examples of the CODD dataset, which includes annotated images with corresponding ground-truth labels and depth maps. Following earlier work [10], we solely focus on two categories in constructing the source domain dataset, i.e., animals and humans. By screening the NJU2K dataset, we successfully obtained 19 categories of animal images. However, due to the limited number of images available for each individual animal category (not exceeding three images), these images are collectively classified into other categories. The ratios of each category are shown in Figure 4. The statistics and descriptions of object size, global/local contrast, and center bias of the CODD dataset are given below.

Examples from the CODD dataset with corresponding annotations and depth maps.

Proportion distribution of each category in CODD dataset.
4.1 Object size
The object size is defined as the number of pixels in the mask compared with the number in the image. As shown in Figure 5(a), the CODD dataset contains multiscale objects. Compared to the CAMO dataset, the CHAMELEON dataset, and the COD10K dataset, the CODD dataset also has a high proportion of small objects, which makes our dataset challenging for COD tasks. In addition, the CODD dataset contains a considerable number of medium and large objects, which indicates that our dataset is more diverse in object size.

Distribution statistics of the CODD dataset and the existing dataset: (a) object size distribution, (b) global contrast distribution, and (c) local contrast distribution.
4.2 Global/local contrast
Global/local contrast can objectively evaluate whether an object is easy to detect or not. According to Li et al. [58], we plot Figure 5(b) and (c). In terms of global contrast, the CAMO dataset is similar to the COD10K dataset, demonstrating that both have similar levels of camouflage. The CODD dataset lies between the CHAMELEON dataset and the COD10K dataset, indicating that the level of camouflage of objects in our dataset lies between the two. In terms of local contrast, the CODD dataset aligns closely with the CHAMELEON dataset and is lower than the CAMO dataset and the COD10K dataset, which demonstrates that the boundaries of the objects in our dataset are more “naturally” uneasy to detect.
4.3 Center bias
Figure 6 provides a depiction of the center distribution of all objects in normalized coordinates across different datasets. Objects in CAMO dataset, the CHAMELEON dataset, and the COD10K dataset are biased toward the center of the image, while objects in our CODD dataset are more widely distributed, which indicates that our dataset suffers from less center bias.

Object center bias of three datasets: (a) CHAMELEON dataset, (b) CAMO dataset, (c) COD10K dataset, and (d) CODD dataset.
5 Experiments and results
5.1 Baseline methods
In addition to constructing the CODD dataset, we also validate the difficulty of this dataset. To this end, we use 12 state-of-the-art RGB-D SOD methods (i.e., BiANet [36], BBS-Net [59], DANet [33], BTS-Net [35], DCF [60], MobileSal [61], DSU [62], S2MA [63], and TriTransNet [64], MIRV [65], CIR-Net [66], and PICR-Net [67]) to test the source domain dataset mentioned in Section 3 and the CODD dataset. In order to ensure a fair comparison, we utilize the code and weights provided by the respective authors for the aforementioned methods, employing their default settings. Importantly, it should be noted that the weights of the aforementioned methods are all trained on a training set consisting of 1,485 samples from the NJU2K dataset and 700 samples from the NLPR dataset.
5.2 Evaluation metrics
Five widely used metrics are adopted to evaluate the detection results of each model, namely, F-measure
5.3 Evaluation of results
The quantitative results of various RGB-D SOD methods tested on the source domain dataset and the CODD dataset are presented in Table 1. There is a significant difference in performance of all methods between the two datasets, with the source domain dataset consistently outperforming the CODD dataset. Specifically, compared to the source domain dataset, RGB-D SOD methods showcase an average reduction of 9.5, 9.9, 12.6, 3.8, 7.3, and 14.7% in six metrics (i.e.,
Quantitative results of different methods
Method | Source domain dataset | CODD dataset | ||||||||||
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S↑ | E↑ | F↑ | M↓ | P↑ | R↑ | S↑ | E↑ | F↑ | M↓ | P↑ | R↑ | |
BBS-Net | 0.961 | 0.976 | 0.95 | 0.016 | 0.952 | 0.953 | 0.939 | 0.954 | 0.918 | 0.026 | 0.927 | 0.926 |
BiANet | 0.943 | 0.962 | 0.933 | 0.021 | 0.949 | 0.915 | 0.796 | 0.816 | 0.735 | 0.073 | 0.817 | 0.699 |
BTS-Net | 0.908 | 0.927 | 0.886 | 0.035 | 0.915 | 0.870 | 0.776 | 0.785 | 0.708 | 0.089 | 0.818 | 0.657 |
DANet | 0.862 | 0.885 | 0.816 | 0.054 | 0.850 | 0.807 | 0.722 | 0.741 | 0.623 | 0.110 | 0.726 | 0.583 |
DCF | 0.956 | 0.981 | 0.957 | 0.013 | 0.961 | 0.955 | 0.925 | 0.960 | 0.924 | 0.025 | 0.938 | 0.910 |
DSU | 0.777 | 0.798 | 0.752 | 0.111 | 0.855 | 0.657 | 0.693 | 0.674 | 0.614 | 0.142 | 0.828 | 0.485 |
MobileSal | 0.916 | 0.944 | 0.899 | 0.028 | 0.917 | 0.900 | 0.762 | 0.781 | 0.690 | 0.094 | 0.767 | 0.700 |
S2MA | 0.863 | 0.889 | 0.821 | 0.061 | 0.844 | 0.831 | 0.720 | 0.749 | 0.624 | 0.123 | 0.712 | 0.619 |
TriTransNet | 0.951 | 0.982 | 0.956 | 0.014 | 0.954 | 0.965 | 0.935 | 0.972 | 0.939 | 0.021 | 0.941 | 0.944 |
MIRV | 0.873 | 0.922 | 0.885 | 0.045 | 0.921 | 0.830 | 0.735 | 0.780 | 0.705 | 0.091 | 0.817 | 0.606 |
CIR-Net | 0.901 | 0.934 | 0.903 | 0.043 | 0.930 | 0.869 | 0.802 | 0.824 | 0.794 | 0.084 | 0.915 | 0.688 |
PICR-Net | 0.961 | 0.983 | 0.961 | 0.012 | 0.961 | 0.964 | 0.928 | 0.963 | 0.924 | 0.026 | 0.927 | 0.930 |

PR curves and F-measure curves on the source domain dataset and CODD dataset: (a) PR curves and (b) F-measure curves.
To better visualize and compare the performance gap between different models on the two datasets, we employ the detection result images (shown in Figure 8) to qualitatively evaluate the models. From Figure 8, it can be clearly seen that the models excel at detecting source domain images while struggling with CODD images. Specifically, for the images in the source domain dataset, the models exhibit exceptional ability to accurately detect salient objects. However, for the images in the CODD dataset, the models fail to perform satisfactorily, encountering difficulty in effectively and completely identifying the structures and boundaries of objects. The underlying rationale behind this disparity lies in the fact that objects within CODD datasets possess a heightened level of camouflage, strikingly resembling their surroundings in appearance and presenting ambiguous boundaries. Consequently, the current SOD algorithm based on RGB-D images fails to effectively complete the COD detection task, and it is necessary to construct specific detection algorithms for the camouflaged objects within CODD datasets.

Visualization samples of the detection results of different models.
6 Conclusion
In our study of the challenging problem of COD, we extend the form of the dataset for the first time. Building upon the existing SOD RGB-D dataset, we have successfully created the CODD dataset within the COD domain using the I2I model and a carefully designed selection strategy. An in-depth analysis of this newly constructed dataset has been conducted, highlighting its diversity and complexity. Furthermore, we have comprehensively evaluated the CODD dataset by employing established RGB-D SOD methods to verify its level of challenge and usability.
Due to the limitations of the current SOD RGB-D dataset, the CODD dataset contains a small amount of data, and there exists a substantial gap between it and the current widely used COD dataset in terms of object types. In the future, we will collect more RGB-D images containing salient animals and expand the CODD dataset in line with the methodology outlined in this article. Our aim is to construct a large-scale COD RGB-D dataset, providing a solid foundation for further research within the COD field.
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Funding information: The authors state no funding involved.
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Author contributions: The authors have accepted responsibility for the entire content of this manuscript and approved its submission.
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Conflict of interest: The authors state no conflict of interest.
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Data availability statement: The data that support the findings of this study are available from the corresponding author upon reasonable request.
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- Homogeneous–heterogeneous reactions in the colloidal investigation of Casson fluid
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Articles in the same Issue
- Regular Articles
- Numerical study of flow and heat transfer in the channel of panel-type radiator with semi-detached inclined trapezoidal wing vortex generators
- Homogeneous–heterogeneous reactions in the colloidal investigation of Casson fluid
- High-speed mid-infrared Mach–Zehnder electro-optical modulators in lithium niobate thin film on sapphire
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- Mononuclear nanofluids undergoing convective heating across a stretching sheet and undergoing MHD flow in three dimensions: Potential industrial applications
- Heat transfer characteristics of cobalt ferrite nanoparticles scattered in sodium alginate-based non-Newtonian nanofluid over a stretching/shrinking horizontal plane surface
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- A numerical analysis of the blood-based Casson hybrid nanofluid flow past a convectively heated surface embedded in a porous medium
- Optoelectronic–thermomagnetic effect of a microelongated non-local rotating semiconductor heated by pulsed laser with varying thermal conductivity
- Thermal proficiency of magnetized and radiative cross-ternary hybrid nanofluid flow induced by a vertical cylinder
- Enhanced heat transfer and fluid motion in 3D nanofluid with anisotropic slip and magnetic field
- Numerical analysis of thermophoretic particle deposition on 3D Casson nanofluid: Artificial neural networks-based Levenberg–Marquardt algorithm
- Analyzing fuzzy fractional Degasperis–Procesi and Camassa–Holm equations with the Atangana–Baleanu operator
- Bayesian estimation of equipment reliability with normal-type life distribution based on multiple batch tests
- Chaotic control problem of BEC system based on Hartree–Fock mean field theory
- Optimized framework numerical solution for swirling hybrid nanofluid flow with silver/gold nanoparticles on a stretching cylinder with heat source/sink and reactive agents
- Stability analysis and numerical results for some schemes discretising 2D nonconstant coefficient advection–diffusion equations
- Convective flow of a magnetohydrodynamic second-grade fluid past a stretching surface with Cattaneo–Christov heat and mass flux model
- Analysis of the heat transfer enhancement in water-based micropolar hybrid nanofluid flow over a vertical flat surface
- Microscopic seepage simulation of gas and water in shale pores and slits based on VOF
- Model of conversion of flow from confined to unconfined aquifers with stochastic approach
- Study of fractional variable-order lymphatic filariasis infection model
- Soliton, quasi-soliton, and their interaction solutions of a nonlinear (2 + 1)-dimensional ZK–mZK–BBM equation for gravity waves
- Application of conserved quantities using the formal Lagrangian of a nonlinear integro partial differential equation through optimal system of one-dimensional subalgebras in physics and engineering
- Nonlinear fractional-order differential equations: New closed-form traveling-wave solutions
- Sixth-kind Chebyshev polynomials technique to numerically treat the dissipative viscoelastic fluid flow in the rheology of Cattaneo–Christov model
- Some transforms, Riemann–Liouville fractional operators, and applications of newly extended M–L (p, s, k) function
- Magnetohydrodynamic water-based hybrid nanofluid flow comprising diamond and copper nanoparticles on a stretching sheet with slips constraints
- Super-resolution reconstruction method of the optical synthetic aperture image using generative adversarial network
- A two-stage framework for predicting the remaining useful life of bearings
- Influence of variable fluid properties on mixed convective Darcy–Forchheimer flow relation over a surface with Soret and Dufour spectacle
- Inclined surface mixed convection flow of viscous fluid with porous medium and Soret effects
- Exact solutions to vorticity of the fractional nonuniform Poiseuille flows
- In silico modified UV spectrophotometric approaches to resolve overlapped spectra for quality control of rosuvastatin and teneligliptin formulation
- Numerical simulations for fractional Hirota–Satsuma coupled Korteweg–de Vries systems
- Substituent effect on the electronic and optical properties of newly designed pyrrole derivatives using density functional theory
- A comparative analysis of shielding effectiveness in glass and concrete containers
- Numerical analysis of the MHD Williamson nanofluid flow over a nonlinear stretching sheet through a Darcy porous medium: Modeling and simulation
- Analytical and numerical investigation for viscoelastic fluid with heat transfer analysis during rollover-web coating phenomena
- Influence of variable viscosity on existing sheet thickness in the calendering of non-isothermal viscoelastic materials
- Analysis of nonlinear fractional-order Fisher equation using two reliable techniques
- Comparison of plan quality and robustness using VMAT and IMRT for breast cancer
- Radiative nanofluid flow over a slender stretching Riga plate under the impact of exponential heat source/sink
- Numerical investigation of acoustic streaming vortices in cylindrical tube arrays
- Numerical study of blood-based MHD tangent hyperbolic hybrid nanofluid flow over a permeable stretching sheet with variable thermal conductivity and cross-diffusion
- Fractional view analytical analysis of generalized regularized long wave equation
- Dynamic simulation of non-Newtonian boundary layer flow: An enhanced exponential time integrator approach with spatially and temporally variable heat sources
- Inclined magnetized infinite shear rate viscosity of non-Newtonian tetra hybrid nanofluid in stenosed artery with non-uniform heat sink/source
- Estimation of monotone α-quantile of past lifetime function with application
- Numerical simulation for the slip impacts on the radiative nanofluid flow over a stretched surface with nonuniform heat generation and viscous dissipation
- Study of fractional telegraph equation via Shehu homotopy perturbation method
- An investigation into the impact of thermal radiation and chemical reactions on the flow through porous media of a Casson hybrid nanofluid including unstable mixed convection with stretched sheet in the presence of thermophoresis and Brownian motion
- Establishing breather and N-soliton solutions for conformable Klein–Gordon equation
- An electro-optic half subtractor from a silicon-based hybrid surface plasmon polariton waveguide
- CFD analysis of particle shape and Reynolds number on heat transfer characteristics of nanofluid in heated tube
- Abundant exact traveling wave solutions and modulation instability analysis to the generalized Hirota–Satsuma–Ito equation
- A short report on a probability-based interpretation of quantum mechanics
- Study on cavitation and pulsation characteristics of a novel rotor-radial groove hydrodynamic cavitation reactor
- Optimizing heat transport in a permeable cavity with an isothermal solid block: Influence of nanoparticles volume fraction and wall velocity ratio
- Linear instability of the vertical throughflow in a porous layer saturated by a power-law fluid with variable gravity effect
- Thermal analysis of generalized Cattaneo–Christov theories in Burgers nanofluid in the presence of thermo-diffusion effects and variable thermal conductivity
- A new benchmark for camouflaged object detection: RGB-D camouflaged object detection dataset
- Effect of electron temperature and concentration on production of hydroxyl radical and nitric oxide in atmospheric pressure low-temperature helium plasma jet: Swarm analysis and global model investigation
- Double diffusion convection of Maxwell–Cattaneo fluids in a vertical slot
- Thermal analysis of extended surfaces using deep neural networks
- Steady-state thermodynamic process in multilayered heterogeneous cylinder
- Multiresponse optimisation and process capability analysis of chemical vapour jet machining for the acrylonitrile butadiene styrene polymer: Unveiling the morphology
- Modeling monkeypox virus transmission: Stability analysis and comparison of analytical techniques
- Fourier spectral method for the fractional-in-space coupled Whitham–Broer–Kaup equations on unbounded domain
- The chaotic behavior and traveling wave solutions of the conformable extended Korteweg–de-Vries model
- Research on optimization of combustor liner structure based on arc-shaped slot hole
- Construction of M-shaped solitons for a modified regularized long-wave equation via Hirota's bilinear method
- Effectiveness of microwave ablation using two simultaneous antennas for liver malignancy treatment
- Discussion on optical solitons, sensitivity and qualitative analysis to a fractional model of ion sound and Langmuir waves with Atangana Baleanu derivatives
- Reliability of two-dimensional steady magnetized Jeffery fluid over shrinking sheet with chemical effect
- Generalized model of thermoelasticity associated with fractional time-derivative operators and its applications to non-simple elastic materials
- Migration of two rigid spheres translating within an infinite couple stress fluid under the impact of magnetic field
- A comparative investigation of neutron and gamma radiation interaction properties of zircaloy-2 and zircaloy-4 with consideration of mechanical properties
- New optical stochastic solutions for the Schrödinger equation with multiplicative Wiener process/random variable coefficients using two different methods
- Physical aspects of quantile residual lifetime sequence
- Synthesis, structure, I–V characteristics, and optical properties of chromium oxide thin films for optoelectronic applications
- Smart mathematically filtered UV spectroscopic methods for quality assurance of rosuvastatin and valsartan from formulation
- A novel investigation into time-fractional multi-dimensional Navier–Stokes equations within Aboodh transform
- Homotopic dynamic solution of hydrodynamic nonlinear natural convection containing superhydrophobicity and isothermally heated parallel plate with hybrid nanoparticles
- A novel tetra hybrid bio-nanofluid model with stenosed artery
- Propagation of traveling wave solution of the strain wave equation in microcrystalline materials
- Innovative analysis to the time-fractional q-deformed tanh-Gordon equation via modified double Laplace transform method
- A new investigation of the extended Sakovich equation for abundant soliton solution in industrial engineering via two efficient techniques
- New soliton solutions of the conformable time fractional Drinfel'd–Sokolov–Wilson equation based on the complete discriminant system method
- Irradiation of hydrophilic acrylic intraocular lenses by a 365 nm UV lamp
- Inflation and the principle of equivalence
- The use of a supercontinuum light source for the characterization of passive fiber optic components
- Optical solitons to the fractional Kundu–Mukherjee–Naskar equation with time-dependent coefficients
- A promising photocathode for green hydrogen generation from sanitation water without external sacrificing agent: silver-silver oxide/poly(1H-pyrrole) dendritic nanocomposite seeded on poly-1H pyrrole film
- Photon balance in the fiber laser model
- Propagation of optical spatial solitons in nematic liquid crystals with quadruple power law of nonlinearity appears in fluid mechanics
- Theoretical investigation and sensitivity analysis of non-Newtonian fluid during roll coating process by response surface methodology
- Utilizing slip conditions on transport phenomena of heat energy with dust and tiny nanoparticles over a wedge
- Bismuthyl chloride/poly(m-toluidine) nanocomposite seeded on poly-1H pyrrole: Photocathode for green hydrogen generation
- Infrared thermography based fault diagnosis of diesel engines using convolutional neural network and image enhancement
- On some solitary wave solutions of the Estevez--Mansfield--Clarkson equation with conformable fractional derivatives in time
- Impact of permeability and fluid parameters in couple stress media on rotating eccentric spheres
- Review Article
- Transformer-based intelligent fault diagnosis methods of mechanical equipment: A survey
- Special Issue on Predicting pattern alterations in nature - Part II
- A comparative study of Bagley–Torvik equation under nonsingular kernel derivatives using Weeks method
- On the existence and numerical simulation of Cholera epidemic model
- Numerical solutions of generalized Atangana–Baleanu time-fractional FitzHugh–Nagumo equation using cubic B-spline functions
- Dynamic properties of the multimalware attacks in wireless sensor networks: Fractional derivative analysis of wireless sensor networks
- Prediction of COVID-19 spread with models in different patterns: A case study of Russia
- Study of chronic myeloid leukemia with T-cell under fractal-fractional order model
- Accumulation process in the environment for a generalized mass transport system
- Analysis of a generalized proportional fractional stochastic differential equation incorporating Carathéodory's approximation and applications
- Special Issue on Nanomaterial utilization and structural optimization - Part II
- Numerical study on flow and heat transfer performance of a spiral-wound heat exchanger for natural gas
- Study of ultrasonic influence on heat transfer and resistance performance of round tube with twisted belt
- Numerical study on bionic airfoil fins used in printed circuit plate heat exchanger
- Improving heat transfer efficiency via optimization and sensitivity assessment in hybrid nanofluid flow with variable magnetism using the Yamada–Ota model
- Special Issue on Nanofluids: Synthesis, Characterization, and Applications
- Exact solutions of a class of generalized nanofluidic models
- Stability enhancement of Al2O3, ZnO, and TiO2 binary nanofluids for heat transfer applications
- Thermal transport energy performance on tangent hyperbolic hybrid nanofluids and their implementation in concentrated solar aircraft wings
- Studying nonlinear vibration analysis of nanoelectro-mechanical resonators via analytical computational method
- Numerical analysis of non-linear radiative Casson fluids containing CNTs having length and radius over permeable moving plate
- Two-phase numerical simulation of thermal and solutal transport exploration of a non-Newtonian nanomaterial flow past a stretching surface with chemical reaction
- Natural convection and flow patterns of Cu–water nanofluids in hexagonal cavity: A novel thermal case study
- Solitonic solutions and study of nonlinear wave dynamics in a Murnaghan hyperelastic circular pipe
- Comparative study of couple stress fluid flow using OHAM and NIM
- Utilization of OHAM to investigate entropy generation with a temperature-dependent thermal conductivity model in hybrid nanofluid using the radiation phenomenon
- Slip effects on magnetized radiatively hybridized ferrofluid flow with acute magnetic force over shrinking/stretching surface
- Significance of 3D rectangular closed domain filled with charged particles and nanoparticles engaging finite element methodology
- Robustness and dynamical features of fractional difference spacecraft model with Mittag–Leffler stability
- Characterizing magnetohydrodynamic effects on developed nanofluid flow in an obstructed vertical duct under constant pressure gradient
- Study on dynamic and static tensile and puncture-resistant mechanical properties of impregnated STF multi-dimensional structure Kevlar fiber reinforced composites
- Thermosolutal Marangoni convective flow of MHD tangent hyperbolic hybrid nanofluids with elastic deformation and heat source
- Investigation of convective heat transport in a Carreau hybrid nanofluid between two stretchable rotatory disks
- Single-channel cooling system design by using perforated porous insert and modeling with POD for double conductive panel
- Special Issue on Fundamental Physics from Atoms to Cosmos - Part I
- Pulsed excitation of a quantum oscillator: A model accounting for damping
- Review of recent analytical advances in the spectroscopy of hydrogenic lines in plasmas
- Heavy mesons mass spectroscopy under a spin-dependent Cornell potential within the framework of the spinless Salpeter equation
- Coherent manipulation of bright and dark solitons of reflection and transmission pulses through sodium atomic medium
- Effect of the gravitational field strength on the rate of chemical reactions
- The kinetic relativity theory – hiding in plain sight
- Special Issue on Advanced Energy Materials - Part III
- Eco-friendly graphitic carbon nitride–poly(1H pyrrole) nanocomposite: A photocathode for green hydrogen production, paving the way for commercial applications