Title of article
Approximation by ruled surfaces
Author/Authors
Chen، نويسنده , , Horng-Yang and Pottmann، نويسنده , , Helmut، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 1999
Pages
14
From page
143
To page
156
Abstract
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.
Keywords
Ruled surface , surface approximation , Computer-Aided Design , NC milling , Wire EDM , Reverse engineering , Line geometry
Journal title
Journal of Computational and Applied Mathematics
Serial Year
1999
Journal title
Journal of Computational and Applied Mathematics
Record number
1549608
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