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Computer-Aided Design of 3-D Objects Using Polar Spline Representations

  • L. L. Schumaker
Part of the Springer Series in Information Sciences book series (SSINF, volume 6)

Abstract

In recent years there has been considerable interest in systems for the computer-aided design of three dimensional objects. An essential ingredient of such a system is a method for constructing mathematical representations of 3-D surfaces. The method should have the following properties:
  1. (1.1)

    the mathematical representation of any object should depend only on a finite number of parameters which can be stored in a digital computer;

     
  2. (1.2)

    the representation should be such that perspective views (or 3-D views) of the object can be rapidly generated;

     
  3. (1.3)

    the representation of any object should depend on a finite number (1.3) of control parameters in such a way that the user can interactively modify these parameters to alter the shape of the object in a controlled fashion.

     

Keywords

Initial Design Fredholm Integral Equation Polar Form Perspective View Polar Representation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1982

Authors and Affiliations

  • L. L. Schumaker
    • 1
    • 2
  1. 1.Department of Mathematics and Center for Approximation TheoryTexas A&M UniversityCollege StationUSA
  2. 2.The Hahn-Meitner InstituteThe Humbolt Foundation at the Free University of BerlinBerlinGermany

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