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Titlebook: Computational Homology; Tomasz Kaczynski,Konstantin Mischaikow,Marian Mroz Textbook 2004 Springer Science+Business Media New York 2004 Alg

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51#
發(fā)表于 2025-3-30 10:57:44 | 只看該作者
Probability and Information Theory,e use is a combination of features found in present-day programming languages which we feel are most useful to keep the presentation reasonably detailed but simple. A person with some experience in programming should have no problem in rewriting our algorithms in a concrete programming language.
52#
發(fā)表于 2025-3-30 15:35:12 | 只看該作者
Cubical Homologyto think of the images as being presented in terms of pixels (two-dimensional cubes), voxels (three-dimensional cubes), and even tetrapus (four-dimensional cubes). In Section 2.1 we formalize and generalize these examples to cubical complexes.
53#
發(fā)表于 2025-3-30 16:39:24 | 只看該作者
54#
發(fā)表于 2025-3-30 21:52:19 | 只看該作者
Preview of Mapss and we will spend the next three chapters explaining how to define and compute .. It is worth noting, even at this very preliminary stage, that since .(.) and .(.) are abelian groups, . is essentially a linear map and therefore, from the algebraic point of view, easy to use.
55#
發(fā)表于 2025-3-31 04:39:59 | 只看該作者
Prospects in Digital Image Processingthe even more elementary difficulties in the process of analog to digital conversion. Since the focus of this book is on computational homology, we will show that it is easy for pixel data to produce the wrong topological information.
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