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Vladimir Kovalevsky

Image Processing with Cellular Topology

Image Processing with Cellular Topology

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This book discusses the importance of abstract cell complexes in image processing and presents methods for tracing and encoding boundaries, including binary, indexed, and color images. It also suggests a new edge detection method and addresses a discussion problem related to estimating derivatives.

Format: Paperback / softback
Length: 184 pages
Publication date: 30 March 2023
Publisher: Springer Verlag, Singapore


This comprehensive book delves into the significance of the finite topological space known as the abstract cell complex in the realm of image processing. It presents a range of image processing methods rooted in abstract cell complex, particularly focusing on tasks such as boundary tracing and encoding in homogeneous regions. Numerous examples are provided throughout the book, each serving to illustrate and demonstrate these techniques. Some examples guide readers through the process of tracing and encoding boundaries in binary, indexed, and color images, while others explain the encoding of boundaries as sequences of straight-line segments, which holds significant importance in shape recognition. Additionally, a novel approach to edge detection in two- and three-dimensional images is proposed, along with a discussion on a problem related to derivatives. The book addresses these questions and offers comprehensive answers, making it an invaluable resource for anyone interested in the field of image processing.


This comprehensive book delves into the significance of the finite topological space known as the abstract cell complex in the realm of image processing. It presents a range of image processing methods rooted in abstract cell complex, particularly focusing on tasks such as boundary tracing and encoding in homogeneous regions. Numerous examples are provided throughout the book, each serving to illustrate and demonstrate these techniques. Some examples guide readers through the process of tracing and encoding boundaries in binary, indexed, and color images, while others explain the encoding of boundaries as sequences of straight-line segments, which holds significant importance in shape recognition. Additionally, a novel approach to edge detection in two- and three-dimensional images is proposed, along with a discussion on a problem related to derivatives. The book addresses these questions and offers comprehensive answers, making it an invaluable resource for anyone interested in the field of image processing.

Weight: 308g
Dimension: 235 x 155 (mm)
ISBN-13: 9789811657740
Edition number: 1st ed. 2021

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