Geometric Modeling for Interpolation Surfaces Based on Blended Coordinate System

  • Benyue Su
  • Jieqing Tan
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4270)


In this paper we present a new method for the model of interpolation surfaces by the blending of polar coordinates and Cartesian coordinate. A trajectory curve is constructed by circular trigonometric Hermite interpolation spline (CTHIS) and a profile curve is presented by C 2-continuous B-spline like interpolation spline (BSLIS). A piecewise interpolation spline surface is incorporated by the blending of CTHIS and BSLIS. In addition, scaling functions have been introduced to improve the flexibility of the model of the interpolation surfaces. On the basis of these results, some examples are given to show how the method is used to model some interesting surfaces.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Benyue Su
    • 1
    • 2
  • Jieqing Tan
    • 3
  1. 1.School of Computer & InformationHefei University of TechnologyHefeiChina
  2. 2.Department of MathematicsAnqing Teachers CollegeAnqingChina
  3. 3.Institute of Applied MathematicsHefei University of TechnologyHefeiChina

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