Branched iterated function system (IFS) models with positioners for biological visualizations
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Cezary Stępień
Abstract
Background: While researching new algorithms for computer graphics, we focused on the ones that are useful in modeling biological formations. Iterated function systems (IFS) are commonly used to visualize fractals or 3D self-similar objects. Their main advantage is the brevity. In the simplest cases, it is enough to define the shape of the base module and the set of transformations to create a multimodular object. In the literature, models of shells, horns, and beaks are described. To model more complex formations, the modified method was introduced in which parameters of the transformation depend on the number of iteration.
Methods: The presented method combines IFS with a new approach to modeling compound objects, which uses positioners. The positioner itself and its possible applications were described in papers that do not refer to IFS models.
Results: We show here how to use positioners with IFS models, including branched ones (as models of the bronchial tree). The achieved models can be simplified or more accurate depending on the variant of the algorithm. Thanks to the positioners, these models have a continuous lateral surface regardless of used shape of cross-section. The algorithm is described along with the requirements for a base module.
Conclusions: It is indicated that positioners simplify the work of a graphic designer. Obtained models of bronchial trees can be used (e.g. in 3D interactive visualizations for medicine students).
Author contributions: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
Research funding: None declared.
Employment or leadership: None declared.
Honorarium: None declared.
Competing interests: The funding organization(s) played no role in the study design; in the collection, analysis, and interpretation of data; in the writing of the report; or in the decision to submit the report for publication.
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©2015 by De Gruyter
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Artikel in diesem Heft
- Frontmatter
- Reviews
- Genetic background of urinary incontinence – state-of-the-art and perspectives
- Modeling of metabolic diseases – a review of selected methods
- Research Articles
- Evaluation of Emotiv EEG neuroheadset
- Experimental research and modeling of selected layers of the trachea based on EBUS
- Application of S-transform to signal analysis
- The application of spherical standards for the evaluation of the accuracy of mapping shape in computed tomography
- Branched iterated function system (IFS) models with positioners for biological visualizations
- Rough assessment of GPU capabilities for parallel PCC-based biclustering method applied to microarray data sets
- Research on dynamics of the knee joint for different types of loads
- Modeling of lumbar spine equipped with fixator
