Constrained shape scaling of multi-surface objects

Pifu Zhang, Caiming Zhang, Fuhua Cheng

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

1 Scopus citations


A method to scale a multi-surface object while holding the shape and size of specific features (trimming curves) unchanged is presented. The new method includes an earlier version for a one-NURBS-surface object as a special case by considering more general objects and more general features. The constrained scaling process is attach-and-deform based. The new surface is constructed by attaching the original features to a scaled version of the given object. The attaching process requires several transformations and a deformation of the scaled object. The resulting object has the same features as the original object while reflecting the shape and curvature distribution of the scaled object. The presented approach maintains a NURBS representation for each component surface of the resulting object and hence, is compatible with most of the current data-exchange standards. Test results on several car body surfaces with trimming curves are included. The quality of the resulting surfaces is examined using the highlight line model.

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

Funding Information:
The financial support of Ford Motor Company through a URP grant and Honda Motor Company through two HIG grants, and the consulting support of Drs. Paul Stewart and Yifan Chen of the Ford Research Lab and Dr. Shane Chang of the Honda R&D North America are deeply appreciated. We also thank Shirish Pande for programming support on the generation of shaped images for this paper.

Publisher Copyright:
© 2000 IEEE.


  • NURBS surfaces
  • constrained deformation
  • constrained scaling
  • strain energy
  • trimming curves

ASJC Scopus subject areas

  • Computational Mathematics
  • Geometry and Topology
  • Modeling and Simulation


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