Image processing with cellular topology / Vladimir Kovalevsky.
2021
TA1637 .K68 2021
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Title
Image processing with cellular topology / Vladimir Kovalevsky.
Author
Kovalevskiĭ, V. A., author.
ISBN
9789811657726 (electronic bk.)
9811657726 (electronic bk.)
9789811657719
9811657718
9811657726 (electronic bk.)
9789811657719
9811657718
Published
Singapore : Springer, [2021]
Copyright
©2021
Language
English
Description
1 online resource
Other Standard Identifiers
10.1007/978-981-16-5772-6 doi
Call Number
TA1637 .K68 2021
Dewey Decimal Classification
006.6
Summary
This book explains why the finite topological space known as abstract cell complex is important for successful image processing and presents image processing methods based on abstract cell complex, especially for tracing and encoding of boundaries of homogeneous regions. Many examples are provided in the book, some teach you how to trace and encode boundaries in binary, indexed and colour images. Other examples explain how to encode a boundary as a sequence of straight-line segments which is important for shape recognition. A new method of edge detection in two- and three-dimensional images is suggested. Also, a discussion problem is included in the book: A derivative is defined as the limit of the relation of the increment of the function to the increment of the argument as the latter tends to zero. Is it not better to estimate derivatives as the relation of the increment of the function to the optimal increment of the argument instead of taking exceedingly small increment which leads to errors? This book addresses all above questions and provide the answers.
Bibliography, etc. Note
Includes bibliographical references.
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Access limited to authorized users.
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Description based on print version record.
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Image processing with cellular topology.
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Table of Contents
Chapter 1. Introduction
Chapter 2. Boundary Presentation Using Abstract Cell Complexes
Chapter 3. Boundary Tracing in Binary Images Using Cell Complexes
Chapter 4. Boundary Tracing and Encoding in Color Images
Chapter 5. Boundary Polygonization
Chapter 6. Edge Detection in 2D Images
Chapter 7. Surface Traversing and Encoding in 3D Images
Chapter 8. Edge Detection in 3D Images
Chapter 9. Discussion.
Chapter 2. Boundary Presentation Using Abstract Cell Complexes
Chapter 3. Boundary Tracing in Binary Images Using Cell Complexes
Chapter 4. Boundary Tracing and Encoding in Color Images
Chapter 5. Boundary Polygonization
Chapter 6. Edge Detection in 2D Images
Chapter 7. Surface Traversing and Encoding in 3D Images
Chapter 8. Edge Detection in 3D Images
Chapter 9. Discussion.