Polygonal approximation of flows
نویسندگان
چکیده
منابع مشابه
Polygonal Approximation of Flows
The analysis of the qualitative behavior of flows generated by ordinary differential equations often requires quantitative information beyond numerical simulation which can be difficult to obtain analytically. In this paper we present a computational scheme designed to capture qualitative information using ideas from the Conley index theory. Specifically we design an combinatorial multivalued a...
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Optimal approximation of closed curves differs from the case of open curve in the sense that the location of the starting point must also be determined. Straightforward exhaustive search would take N times more time than the corresponding algorithm for open curve. We propose to approximate a cyclically extended contour of double size, and to select the best possible starting point by analyzing ...
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Our domain of interest is polygonal (and polyhedral) approximation of point sets. Neither the order of data points nor the number of needed line segments (surface patches) are known. In particular, point sets can be obtained by laser range scanner mounted on a moving robot or given as edge pixels/voxels in digital images. Polygonal approximation of edge pixels can also be interpreted as groupin...
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Optimal polygonal approximation of closed curves differs from the case of open curve in the sense that the location of the starting point must also be determined. Straightforward exhaustive search would take N times more time than the corresponding optimal algorithm for an open curve, because there are N possible points to be considered as the starting point. Faster sub-optimal solution can be ...
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2007
ISSN: 0166-8641
DOI: 10.1016/j.topol.2006.04.033