Geodesics on Point Clouds
2014 ◽
Vol 2014
◽
pp. 1-12
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Keyword(s):
We present a novel framework to compute geodesics on implicit surfaces and point clouds. Our framework consists of three parts, particle based approximate geodesics on implicit surfaces, Cartesian grid based approximate geodesics on point clouds, and geodesic correction. The first two parts can effectively generate approximate geodesics on implicit surfaces and point clouds, respectively. By introducing the geodesic curvature flow, the third part produces smooth and accurate geodesic solutions. Differing from most of the existing methods, our algorithms can converge to a given tolerance. The presented computational framework is suitable for arbitrary implicit hypersurfaces or point clouds with high genus or high curvature.
Keyword(s):
2012 ◽
Vol 26
(4)
◽
pp. 231-246
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2019 ◽
Vol 110
◽
pp. 132-147
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Keyword(s):
2010 ◽
Vol 16
(4)
◽
pp. 647-662
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2007 ◽
Vol 32
(4)
◽
pp. 525-541
2012 ◽
Vol 12
(04)
◽
pp. 1250029
Keyword(s):