CS 6491 Lecture Notes - Numerical Error, Shape Optimization, Dot Product
10 Dec 2012
School
Department
Course
Professor
Document Summary
Wei zhuo and jarek rossignac curvature-based o set distance: implementation and applications shape modeling international 2012, may. 22-25, texas, usa. (to appear as a journal paper in a special issue of computer & graphics) The rst problem is to change the volume of a solid by a prescribed amount, while minimizing hausdor error. This is important for compensating volume change due to smoothing, subdivision, or advection. The second problem is to preserve the individual areas of in nitely small chunks of a planar shape, as the shape is deformed to follow the gentle bending of a smooth spine (backbone) curve. This is important for bending or animating textured regions. The third problem is to generate consecutive o sets, where each unit element of the boundary sweeps the same region. This is important for constant material-removal rate during numerically controlled (nc) machining.
