Rational blending surfaces between quadrics

Johannes Wallner, Helmut Pottmann*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


Using tools from classical line geometry and the theory of kinematic mappings, it is possible to define an intrinsic control structure for NURBS curves and surfaces on the sphere, the cylinder and on any projectively equivalent quadratic surface. These methods are further used to construct exact C1 blends between these surfaces, such that interactive design of trim lines and surface tension is possible. The lowest possible degree of a blend that can be achieved with this method is (4, 3).

Original languageEnglish (US)
Pages (from-to)407-419
Number of pages13
JournalComputer Aided Geometric Design
Issue number5
StatePublished - Jun 1997
Externally publishedYes


  • Blending surface
  • Kinematic mapping
  • Line geometry
  • NURBS surface

ASJC Scopus subject areas

  • Modeling and Simulation
  • Automotive Engineering
  • Aerospace Engineering
  • Computer Graphics and Computer-Aided Design


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