One and two-parameter blending for parametric surfaces

Jung-Hong Chuang*, Feng Liang Lien

*Corresponding author for this work

Research output: Contribution to journalArticle

7 Scopus citations

Abstract

Two formulations are proposed for computing the general blending of paradmetric surfaces. The first is an exact formulation that extends the concept of the affine potential method [11] and represents the blend exactly in a high dimensional space as the sweeping surface of the intersection between offsets of the base surfaces with radii satisfying a specific one-parameter curve. The second is a relatively complex formulation that defines the blend as the sweeping surface of the intersection between offsets of base surfaces with radii satisfying a specific two-parameter surface. To improve the interactive performance of these formulations, procedural approaches are proposed. Both formulations provide users with not only a simple and intuitive blending specification, but also a flexible shape control of the blending surface. Moreover, the formulations take the underlying geometry of the base surfaces into consideration.

Original languageEnglish
Pages (from-to)461-477
Number of pages17
JournalJournal of Information Science and Engineering
Volume14
Issue number2
StatePublished - 1 Jun 1998

Keywords

  • Exact representations
  • Parametric surfaces
  • Surface blending

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