variational methods in image segmetation 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Jean Michel Morel 作者

Birkhaul

译者

1995 出版日期

245 页数

$ 99.38 价格

丛书系列

9780817637200 图书编码

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variational methods in image segmetation 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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variational methods in image segmetation 在线电子书著者简介

Univ. Paris-Dauphine, Paris Cedex, France

Univ. degli Studi di Lecce, Lecce, Italy

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variational methods in image segmetation 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

variational methods in image segmetation 在线电子书图书描述

This text contains a synthesis and a mathematical analysis of a wide set of algorithms and theories whose aim is the automatic segmentation of digital images as well as the understanding of visual perception. A common formalism for these theories and algorithms is obtained in variational form. Thanks to the formalization, mathematical questions about the soundness can be raised and answered. Perception theory has to deal with the complex interaction between regions and "edges" (or boundaries) in an image; in the variational segmentation energies, "edge" terms compete with "region" terms in a way which is intended to impose regularity on both regions and boundaries. The first part of the book presents a unified presentation of the evidence in favour of the conjecture. It is proven that the competition of one-dimensional and two-dimensional energy terms in a variational formulation cannot create fractal-like behaviour for the edges. The proof of regularity for the edges of a segmentation constantly involves concepts from geometric measure theory, which proves to be central in image processing theory. The second part of the book provides a fast and self-contained presentation of the classical theory of rectifiable sets (the "edges") and unrectifiable sets ("fractals").

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