Dimension-driven parameterized design of free form objects

Kai Ming Yu, W. M. Zhu

Research output: Chapter in book / Conference proceedingConference article published in proceeding or bookAcademic researchpeer-review

1 Citation (Scopus)


The paper develops a theoretical basis for dimension-driven parameterized design of free form objects. In traditional parametric computer-aided design (CAD) systems, research is focused on the representation of dimension parameters and constraint satisfaction algorithms. Dimension-driven free form object parameterized design is to obtain a new free form object similar in shape to the old one but with different sets of dimension parameter instantiation. In other words, a new member of the master free form object's family will be designed. However, research on dimension-driven parameterized design of free form objects is an unattempted area. Also, there is no commercial CAD system that can deal with dimension-driven free form objects successfully. In this research, we exploit a new concept of similar shape applicable to 3D rational curves and surfaces. Dimension-driven variation of similar free form objects is then explained and illustrated with an example.
Original languageEnglish
Title of host publicationProceedings - Geometric Modeling and Processing 2000
Subtitle of host publicationTheory and Applications
Number of pages11
ISBN (Electronic)0769505627, 9780769505626
Publication statusPublished - 1 Jan 2000
EventGeometric Modeling and Processing 2000, GMP 2000 - Hong Kong, Hong Kong
Duration: 11 Apr 200012 Apr 2000


ConferenceGeometric Modeling and Processing 2000, GMP 2000
Country/TerritoryHong Kong
CityHong Kong

ASJC Scopus subject areas

  • Computational Mathematics
  • Geometry and Topology
  • Modelling and Simulation


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