Modeling Regular Textures in Images Using the Radon Transform
Kazantsev I.G. Turebekov R.Z. Sultanov M.A.
April 2021Pleiades journals
Journal of Applied and Industrial Mathematics
2021#15Issue 2223 - 233 pp.
Abstract: The Radon transform is a major integral transform in computed tomography and a widelyapplied technique in computer vision and image analysis which is used to detect linear structuresand regular textures. Its application is based on the property of the integrals of the direct problemto accumulate the image brightness along the contours under study. The back-projectionoperation, one of the main components of tomographic algorithms, results in ridge functionshaving the directions in which they participated in the direct operator. In the present paper, weexamine the ridge functions and their orientation as the features for describing the anisotropy ofregular textures. These features are involved in the regular texture model as a sum of ridgefunctions. Many textures are visually perceived as a superposition of linear structures and aretherefore examined using the Radon transform. The paper presents a computational scheme forthe singular value decomposition of a regular texture into a sum of informative ridge functions.The results are given of numerical experiments with the textures of industrial fabrics. Thealgorithm can be used in processing the visual data in computer vision systems, textile industry,robotics, and crystallography.
image processing , Radon transform , regular texture , textile
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Institute of Computational Mathematics and Mathematical Geophysics, Novosibirsk, 630090, Russian Federation
Khoja Akhmet Yassawi International Kazakh-Turkish University, Turkestan, 161200, Kazakhstan
Institute of Computational Mathematics and Mathematical Geophysics
Khoja Akhmet Yassawi International Kazakh-Turkish University
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