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http://dx.doi.org/10.15701/kcgs.2019.25.3.93

Geometric Processing for Freeform Surfaces Based on High-Precision Torus Patch Approximation  

Park, Youngjin (Department of Computer Science and Engineering, Seoul National University)
Hong, Q Youn (Department of Computer Science and Engineering, Seoul National University)
Kim, Myung-Soo (Department of Computer Science and Engineering, Seoul National University)
Publication Information
Journal of the Korea Computer Graphics Society / v.25, no.3, 2019 , pp. 93-103 More about this Journal
Abstract
We introduce a geometric processing method for freeform surfaces based on high-precision torus patch approximation, a new spatial data structure for efficient geometric operations on freeform surfaces. A torus patch fits the freeform surface with flexibility: it can handle not only positive and negative curvature but also a zero curvature. It is possible to precisely approximate the surface regardless of the convexity/concavity of the surface. Unlike the traditional method, a torus patch easily bounds the surface normal, and the offset of the torus becomes a torus again, thus helps the acceleration of various geometric operations. We have shown that the torus patch's approximation accuracy of the freeform surface is high by measuring the upper bound of the two-sided Hausdorff distance between the freeform surface and set of torus patches. Using the method, it can be easily processed to detect an intersection curve between two freeform surfaces and find the offset surface of the freeform surface.
Keywords
Torus Patch; Freeform Surface; Approximation with High Precision; Hausdorff Distance;
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Times Cited By KSCI : 2  (Citation Analysis)
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