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1996 (EN)

Convexity-preserving fairing (EN)

Pigounakis, KG (EN)
Kaklis, PD (EN)

This paper develops a two-stage automatic algorithm for fairing C-2-continuous cubic parametric B-splines under convexity, tolerance and end constraints. The first stage is a global procedure, yielding a C-2 cubic B-spline which satisfies the local-convexity, local-tolerance and end constraints imposed by the designer. The second stage is a local fine-fairing procedure employing an iterative knot-removal knot-reinsertion technique, which adopts the curvature-slope discontinuity as the fairness measure of a C-2 spline. This procedure preserves the convexity and end properties of the output of the first stage and, moreover, it embodies a global-tolerance constraint. The performance of the algorithm is discussed for four data sets. Copyright (C) 1996 Elsevier Science Ltd (EN)

journalArticle (EN)

B spline curves (EN)
Knot-insertion (EN)
Fits and tolerances (EN)
Fairing (EN)
Tolerances (EN)
Computer Science, Software Engineering (EN)
Fairness (EN)
Curvature-slope discontinuity (EN)
Iterative knot removal knot reinsertion technique (EN)
B-spline curves (EN)
Algorithms (EN)
Knot-removal (EN)
Curvature slope discontinuity (EN)
Constraint theory (EN)
Convexity (EN)
Iterative methods (EN)
Curve fitting (EN)
Cubic curves (EN)
End constraints (EN)
Computer aided design (EN)


CAD Computer Aided Design (EN)

English

1996 (EN)

12 (EN)
0010-4485 (EN)
981 (EN)
994 (EN)
ISI:A1996VP60100006 (EN)
28 (EN)
10.1016/0010-4485(96)00024-3 (EN)

ELSEVIER SCI LTD (EN)




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