Computation Legendre moments using image analysis technique
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Karamcheti Mallika
Abstract
In this paper, phase transition temperatures of nematic liquid crystals: 4-n alkoxy benzoic acid (nOBA, where n = 4 and 6) are determined from the Legendre moments of liquid crystal textures. Here, the image analysis technique in conjunction with polarizing optical microscope is used to compute the Legendre moments from the textures of liquid crystals. As a function of temperature, Liquid crystal textures are recorded from the arthroscopic mode of optical microscope. Changes in textural features of the sample with respect to temperature bring the variations in intensity values of liquid crystal textures. The brightness image that is generated from the liquid crystal textural patterns separates the information about fluctuations in intensity. In this approach, Legendre moments are computed from the brightness images of the liquid crystal textures and are plotted as a function of temperature. Significant variations in the brightness Legendre moment curve provide insight into the liquid crystal transition temperatures. Results obtained from the present methodology are compared with gray color textures data and the experimental technique of differential scanning calorimetry and are in good agreement with each other. This method is an objective and quantitative technique whereas POM method is qualitative and subjective.
Funding source: Young mind creations technologies private limited, Bangalore
Award Identifier / Grant number: No. EXT/R&D/LCD/NU/SSS-05, dt.15-08-2023
Acknowledgments
Authors are grateful to Acharya Nagarjuna University for providing infrastructure.
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Research ethics: Not applicable.
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Author contributions: All authors have accepted responsibility for the entire content of this manuscript and approved its submission.
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Competing interests: Authors state no conflict of interest.
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Research funding: The authors are grateful to M/s. Young mind creations technologies private limited, Bangalore, for providing financial assistance No.EXT/R&D/LCD/NU/SSS-05, dt.15-09-2023.
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Data availability: Not applicable.
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Articles in the same Issue
- Frontmatter
- Atomic, Molecular & Optical Physics
- Research on adaptive optics technology based on phase contrast Gerchberg Saxton algorithm
- Dynamical Systems & Nonlinear Phenomenas
- Free vibration analyses of 3D printed plates with different geometric fillings: experimental testing and numerical simulations
- Dynamical investigation of the perturbed Chen–Lee–Liu model with conformable fractional derivative
- Invariant analysis of the multidimensional Martinez Alonso–Shabat equation
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- Computation Legendre moments using image analysis technique
Articles in the same Issue
- Frontmatter
- Atomic, Molecular & Optical Physics
- Research on adaptive optics technology based on phase contrast Gerchberg Saxton algorithm
- Dynamical Systems & Nonlinear Phenomenas
- Free vibration analyses of 3D printed plates with different geometric fillings: experimental testing and numerical simulations
- Dynamical investigation of the perturbed Chen–Lee–Liu model with conformable fractional derivative
- Invariant analysis of the multidimensional Martinez Alonso–Shabat equation
- Solid State Physics & Materials Science
- Computation Legendre moments using image analysis technique
