Approximation by ruled surfaces

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:102

Article

Chen, HY ; Pottmann, H

关键词: computer-aided design;    NC milling;    wire EDM;    reverse engineering;    line geometry;    ruled surface;    surface approximation;   

DOI  :  10.1016/S0377-0427(98)00212-X

来源: Elsevier

【 摘 要 】

Given a surface or scattered data points from a surface in 3-space, we show how to approximate the given data by a ruled surface in tensor product B-spline representation. This leads us to a general framework for approximation in line space by local mappings from the Klein quadric to Euclidean 4-space. The presented algorithm for approximation by ruled surfaces possesses applications in architectural design, reverse engineering wire electric discharge machining and NC milling. (C) 1999 Elsevier Science B.V. All rights reserved.

【 授权许可】

Free