2012•Journal of Hangzhou Dianzi UniversityRequires access

Multiple B-spline Surface Fitting Based on Iterative Geometric Approximation

Nailiang Zhao

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Abstract

Based on iterative geometric interpolation,an adaptive method of multiple B-spline surface fitting algorithm is presented in this paper.By means of the piecewise,B-spline surface fitting using iterative geometric approximation and subsequent G1 continuity processing between surfaces,the G1 continuity for multiple B-spline surface fitting can be achieved.At the same time,the fitting precision can be improved adaptively by refining any B-spline surface with G1 continuity.The proposed algorithm is more efficient,because it does not need to solve the large equations of all B-spline surfaces and all scattered points.Several examples of model surface fitting also show the advantages of the algorithm.

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What this paper is about

Based on iterative geometric interpolation,an adaptive method of multiple B-spline surface fitting algorithm is presented in this paper.By means of the piecewise,B-spline surface fitting using iterative geometric approximation and subsequent G1 continuity processing between surfaces,the G1 continuity for multiple B-spline surface fitting can be achieved.At the same time,the fitting precision can be improved adaptively by refining any B-spline surface with G1 continuity.The proposed algorithm is more efficient,because it does not need to solve the large equations of all B-spline surfaces and all scattered points.Several examples of model surface fitting also show the advantages of the algorithm.

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Available abstract

Based on iterative geometric interpolation,an adaptive method of multiple B-spline surface fitting algorithm is presented in this paper.By means of the piecewise,B-spline surface fitting using iterative geometric approximation and subsequent G1 continuity processing between surfaces,the G1 continuity for multiple B-spline surface fitting can be achieved.At the same time,the fitting precision can be improved adaptively by refining any B-spline surface with G1 continuity.The proposed algorithm is more efficient,because it does not need to solve the large equations of all B-spline surfaces and all scattered points.Several examples of model surface fitting also show the advantages of the algorithm.

Key concepts: B-spline, Surface fitting, Spline (mechanical), Surface (topology), Piecewise, Spline interpolation, Mathematics, Geometric design

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