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Constrained Adaptive B-spline Curve Fitting on Surface

Author: MengQingYu
Tutor: LiChongJun
School: Dalian University of Technology
Course: Computational Mathematics
Keywords: Surface Constraint B-spline curve fitting Dominant point selection Parameter Amendment A least squares fit
CLC: O186.11
Type: Master's thesis
Year: 2010
Downloads: 117
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Abstract


With a smooth curve to fit the scattered data given the field of computer-aided geometry , computer images , computer vision , and many frequently asked questions . B-spline method is an important class of computer-aided geometric design (CAGD) , has a lot of good nature . In this paper, the constraints on the surface of B -spline curve fitting method was some discussion and research . The first chapter introduces the scattered data curve fitting problems , and describes several important research in the field . The second chapter a brief introduction of the B-spline curve and its basic nature . The third chapter discusses a Surface Constraint - based adaptive B-spline curve fitting method . The method uses discrete curvature to select the initial dominant points , and then use the least squares method to fit the constraints on the surface . Also revised parameters calculated data points and curve error process . Parameter Amendment played a vital role in the fitting process , it makes the error calculated more precisely , in order to be in the most appropriate place to insert a new dominant point . This allows the fitting error is decreased rapidly. The numerical experiments illustrate this approach for solving the constraint on the surface of the curve fitting is feasible and efficient . The fourth chapter gives the right to use the value of the method to solve the error curve fitting , and gives numerical examples and error analysis . Finally, some concluding remarks and put forward the problems to be further studied .

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CLC: > Mathematical sciences and chemical > Mathematics > Geometry, topology > Differential geometry,integral geometry > Differential Geometry > Classical differential geometry
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