数字直线和数字区域的凸性。
Digital straight lines and convexity of digital regions.
机构信息
Department of Computer Science, University of Maryland, College Park, MD 20742; Department of Computer Science, Washington State University, Pullman, WA 99163.
出版信息
IEEE Trans Pattern Anal Mach Intell. 1982 Feb;4(2):149-53. doi: 10.1109/tpami.1982.4767221.
PMID:21869020
Abstract
It is shown that a digital region is convex if and only if every pair of points in the region is connected by a digital straight line segment contained in the region. The midpoint property is shown to be a necessary but not a sufficient condition for the convexity of digital regions. However, it is shown that a digital region is convex if and only if it has the median-point property.
摘要
研究表明，数字区域是凸的，当且仅当区域中的每对点通过区域中包含的数字直线段连接。中点性质是数字区域凸性的必要但非充分条件。然而，研究还表明，数字区域是凸的，当且仅当它具有中值点性质。
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