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2004
Springer

Reduce the stretch in surface flattening by finding cutting paths to the surface boundary

8 years 4 months ago
Reduce the stretch in surface flattening by finding cutting paths to the surface boundary
This paper presents a method for finding cutting paths on a 3D triangular mesh surface to reduce the stretch in the flattened surface. The cutting paths link the surface boundary and the nodes where the Gaussian curvature is high, and their total length is minimized. First, a linear algorithm for computing an approximate boundary geodesic distance map is introduced; the map encapsulates the undirected geodesic distance from every triangular node to the surface boundary approximately. This is followed by determining the undirected shortest paths passing through all the nodes where the Gaussian curvature is larger than a threshold. The cutting paths walk along the triangular edges of the given surface. Compared with other similar approaches, our method reaches a faster speed, and can deal with surfaces with widely distributed curvatures.
Charlie C. L. Wang, Yu Wang 0010, Kai Tang, Matthe
Added 16 Dec 2010
Updated 16 Dec 2010
Type Journal
Year 2004
Where CAD
Authors Charlie C. L. Wang, Yu Wang 0010, Kai Tang, Matthew Ming-Fai Yuen
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