Constrained C1 piecewise bicubic Bézier surface interpolation

Caiming Zhang, Fuhua Cheng, B. A. Barsky

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


The construction of a C1 piecewise bicubic Bézier 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.

Original languageEnglish
Title of host publicationProceedings - Geometric Modeling and Processing 2000
Subtitle of host publicationTheory and Applications
EditorsRalph Martin
Number of pages10
ISBN (Electronic)0769505627, 9780769505626
StatePublished - 2000
EventGeometric Modeling and Processing 2000, GMP 2000 - Hong Kong, China
Duration: Apr 11 2000Apr 12 2000

Publication series

NameProceedings - Geometric Modeling and Processing 2000: Theory and Applications


ConferenceGeometric Modeling and Processing 2000, GMP 2000
CityHong Kong

Bibliographical note

Publisher Copyright:
© 2000 IEEE.


  • constraint
  • energy
  • parametric interpolation
  • polynomial curve/surface

ASJC Scopus subject areas

  • Computational Mathematics
  • Geometry and Topology
  • Modeling and Simulation


Dive into the research topics of 'Constrained C1 piecewise bicubic Bézier surface interpolation'. Together they form a unique fingerprint.

Cite this