WINDING AND EULER NUMBERS FOR 2D-DIGITAL AND 3D-DIGITAL IMAGES

被引：26

作者：

LEE, CN

POSTON, T

ROSENFELD, A

机构：

[1] Department of Mathematics, Pohang Institute of Science and Technology, 790-330

[2] Center for Automation Research, University of Maryland, College Park

来源：

CVGIP-GRAPHICAL MODELS AND IMAGE PROCESSING | 1991年 / 53卷 / 06期

关键词：

D O I：

10.1016/1049-9652(91)90003-3

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

New algorithms for computing the Euler number of a 3D digital image S are given, based on smoothing the image to a differentiable object and applying theorems of differential geometry and algebraic topology. They run in O(n) time, where n is the number of object elements of S with neighbors not in S. The basic idea is general and easily extended to images defined by other means, such as a hierarchical data structure or a union of isothetic (hyper) rectangles. © 1991.

引用

页码：522 / 537

页数：16

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