Fairing spline curves and surfaces by minimizing energy

Fairing spline curves and surfaces by minimizing energy

New algorithms for the classical problem of fairing cubic spline curves and bicubic spline surfaces are presented. To fair a cubic spline curve or a bicubic spline surface with abnormal portions, the algorithms (automatically or interactively) identify the 'bad' data points and replace the...

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Veröffentlicht in:Computer aided design 2001-11, Vol.33 (13), p.913-923
Hauptverfasser: Zhang, Caiming, Zhang, Pifu, Cheng, Fuhua (Frank)
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Applied sciences
Computer aided design
Computer science
control theory
systems
Exact sciences and technology
Software
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container_end_page 923
container_issue 13
container_start_page 913
container_title Computer aided design
container_volume 33
creator Zhang, Caiming
Zhang, Pifu
Cheng, Fuhua (Frank)
description New algorithms for the classical problem of fairing cubic spline curves and bicubic spline surfaces are presented. To fair a cubic spline curve or a bicubic spline surface with abnormal portions, the algorithms (automatically or interactively) identify the 'bad' data points and replace them with new points produced by minimizing the strain energy of the new curve or surface. The proposed algorithms are more general than the existing algorithms in that the new algorithms can adjust more than one 'bad' data point in each modification step and they include the existing algorithms [Computer-Aided Design 15(5) (1983) 288-293; 28 (1996) 59-66] as special cases. Test results of the new algorithms are included. copyright 2001 Elsevier Science Ltd. All rights reserved.
doi_str_mv 10.1016/S0010-4485(00)00114-7
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subjects Applied sciences
Computer aided design
Computer science
control theory
systems
Exact sciences and technology
Software
title Fairing spline curves and surfaces by minimizing energy
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