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Constrained C1 piecewise bicubic Bezier surface interpolation

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3 Author(s)
Caiming Zhang ; Dept. of Comput. Sci., Kentucky Univ., Lexington, KY, USA ; Fuhua Cheng ; Barsky, B.A.

The construction of a C1 piecewise bicubic Bezier surface that interpolates a set of data points and lies on the same side of a given plane as the data points is presented. The main tasks in this construction process are the adjustment of the tangent vectors and the determination of the twist vectors at the data points. The tangent vectors are modified by decreasing their magnitudes. The twist vectors are first set by an energy minimization process and then filtered through a modification process to ensure the constructed surface lies on one side of the given plane. The technique for determining the twist vectors has an interpolation precision of cubic polynomials

Published in:
Geometric Modeling and Processing 2000. Theory and Applications. Proceedings

Date of Conference: 2000

Page(s):
162 - 171
Meeting Date :
10 Apr 2000-12 Apr 2000
Print ISBN:
0-7695-0562-7
INSPEC Accession Number:
6567428
Conference Location :
Hong Kong
Digital Object Identifier :
10.1109/GMAP.2000.838248
Product Type:
Conference Publications

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