INTERNATIONAL DESIGN CONFERENCE - DESIGN '98

Dubrovnik, May 19-22, 1998.

Geometric modeling, superquadrics, CSG

Abstract: This paper presents application of superquadric elipsoids and toroids in Constructive Solid Geometry (CSG) modeling. Single block of equations for surface, volume and inertia simplifies the CSG kernel. Unified equations for basic solids reduce number of CSG intersection tests to minimum and leads to application speed-up and stability.

In spite of described advances, there are few applications[Neveu et al., 1995, Bardinet et al., 1995] using this kind of solids. We present our modeler developed in Open GL graphics language with unique solution to solid singularities, CSG database, Boolean operations and 3D representation.

 
• Introduction
  • CSG representation.
  • Boolean operations.
  • Superquadrics
• Preliminaries
  • Problem statement
  • CSG kernel
  • User interface
• CSG with Superquadrics
  • Surface intersections
    • Stage one.
    • Stage two.
  • Modeler environment
  • Database
• Conclusion
• References
• About this document ...