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Titlebook: Image Processing with Cellular Topology; Vladimir Kovalevsky Book 2021 The Editor(s) (if applicable) and The Author(s), under exclusive li

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发表于 2025-3-21 18:06:35 | 显示全部楼层 |阅读模式
书目名称Image Processing with Cellular Topology
编辑Vladimir Kovalevsky
视频video
概述Introduces abstract cell complex as an important tool for image processing research.Proposes boundary tracing and encoding methods based on abstract cell complex.Presents image processing as an applic
图书封面Titlebook: Image Processing with Cellular Topology;  Vladimir Kovalevsky Book 2021 The Editor(s) (if applicable) and The Author(s), under exclusive li
描述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 whichleads to errors? This book addresses all above questions and provide the answers..
出版日期Book 2021
关键词image processing; abstract cell complex; tracing boundaries; edge detection; digital straight segment; di
版次1
doihttps://doi.org/10.1007/978-981-16-5772-6
isbn_softcover978-981-16-5774-0
isbn_ebook978-981-16-5772-6
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor
The information of publication is updating

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发表于 2025-3-21 21:48:39 | 显示全部楼层
发表于 2025-3-22 02:21:31 | 显示全部楼层
Boundary Tracing in Binary Images Using Cell Complexes,it can serve as a basis for the cases of indexed and color images. The chapter describes the rules for defining the direction of the next step depending on the colors (black or white) of the two pixels in front of the movement along the boundary. The Sect.. contains the full subscription of algorithms “SearchBin” and “TraceBin”.
发表于 2025-3-22 08:34:26 | 显示全部楼层
Boundary Tracing and Encoding in Color Images, like to use it. The main algorithm “MakeLineList” is more complicated and brings as the result a more economical code. The chapter contains also a simple algorithm “TraceEqaution” for tracing a curve defined by means of an equation.
发表于 2025-3-22 10:05:24 | 显示全部楼层
Boundary Polygonization,f short straight-line segments being digital images of analog straight-line segments. The second method calculates for each boundary component a polygon approximating the boundary with an assigned precision. Both methods make a geometrical analysis of the boundary possible.
发表于 2025-3-22 15:39:40 | 显示全部楼层
Surface Traversing and Encoding in 3D Images,e algorithm “SpiralTracing” is the only known algorithm which can encode a surface as a sequence of adjacent facets while other algorithms encode a surface as a not ordered set of facets. So does the here described algorithm “CORB_3D”. This chapter also describes the theory of digital plane patches.
发表于 2025-3-22 20:23:42 | 显示全部楼层
发表于 2025-3-22 21:32:12 | 显示全部楼层
Discussion,ement of the function to the increment of the argument while the latter increment tends to zero, can lead to errors. Suggested is to use the relation of the increment of the function to the . increment of the argument, rather than to a small increment. A method of calculating the optimal increment of the argument is suggested.
发表于 2025-3-23 04:23:03 | 显示全部楼层
Vladimir KovalevskyIntroduces abstract cell complex as an important tool for image processing research.Proposes boundary tracing and encoding methods based on abstract cell complex.Presents image processing as an applic
发表于 2025-3-23 05:51:30 | 显示全部楼层
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