论文信息 - Reconstruction of Kinematic Surfaces from Scattered Data

Reconstruction of Kinematic Surfaces from Scattered Data

Given a surface in 3-space or scattered points from a surface, we present algorithms for fitting the data by a surface which can be generated by a one–parameter subgroup of the group of similarities. These surfaces are general cones and cylinders, surfaces of revolution, helical surfaces and spiral surfaces.

Helmut Pottmann | Thomas Randrup | Ivan S. K. Lee

[1] Josef Hoschek,et al. Approximation of digitized points by surfaces of revolution , 1996, Comput. Graph..

[2] Thomas Randrup. Approximation by Cylinder Surfaces , 1997 .

[3] H. Pottmann,et al. Approximation by ruled surfaces , 1999 .

[4] Ralph R. Martin,et al. Reverse engineering of geometric models - an introduction , 1997, Comput. Aided Des..

[5] Ralph R. Martin,et al. Geometric least-squares fitting of spheres, cylinders, cones and tori. (Working paper of the Computer Science Department, University of Wales.) , 1997 .