A Generic Approach to Free Form Surface Generation-Reference-Cited by-同舟云学术

A Generic Approach to Free Form Surface Generation

Published:2002-12-01 Issue:4 Volume:2 Page:294-301
ISSN:1530-9827
Container-title:Journal of Computing and Information Science in Engineering
language:en
Short-container-title:

Author:

Cotrina-Navau J.¹,Pla-Garcia N.²,Vigo-Anglada M.²

Affiliation:

1. Dept. de Telema`tica, Universitat Polytecnica de Catalunya, Spain

2. Dept. de Lleng. i Sist. Informa`tics, Universitat Politecnica de Catalunya, Spain

Abstract

A theoretical approach to construct free form surfaces is presented. We develop the concepts that arise when a free form surface is generated by tracing a mesh, using differentiable manifold theory, and generalizing the B-spline scheme. This approach allows us to define a family of practical schemes. Four different applications of the generic approach are also presented in this paper.

Publisher

ASME International

Subject

Industrial and Manufacturing Engineering,Computer Graphics and Computer-Aided Design,Computer Science Applications,Software

Link

http://asmedigitalcollection.asme.org/computingengineering/article-pdf/2/4/294/5536770/294_1.pdf

Reference22 articles.

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4. Seidel, H. , 1991, “Symmetric Recursive Algorithms for Surfaces: B-patches and the de Boor Algorithm for Polynomials Over Triangles,” Constructive Approx., 7, pp. 257–279.

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