On surface approximation using developable surfaces

H. Y. Chen, I. K. Lee, S. Leopoldseder, H. Pottmann, T. Randrup, J. Wallner

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56 Citations (Scopus)

Abstract

We introduce a method for approximating a given surface by a developable surface. It will be either a G1 surface consisting of pieces of cones or cylinders of revolution or a Gr NURBS developable surface. Our algorithm will also deal properly with the problems of reverse engineering and produce robust approximation of given scattered data. The presented technique can be applied in computer aided manufacturing, e.g. in shipbuilding.

Original languageEnglish
Pages (from-to)110-124
Number of pages15
JournalGraphical Models and Image Processing
Volume61
Issue number2
DOIs
Publication statusPublished - 1999 Mar 1

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Computer Vision and Pattern Recognition
  • Geometry and Topology
  • Computer Graphics and Computer-Aided Design

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    Chen, H. Y., Lee, I. K., Leopoldseder, S., Pottmann, H., Randrup, T., & Wallner, J. (1999). On surface approximation using developable surfaces. Graphical Models and Image Processing, 61(2), 110-124. https://doi.org/10.1006/gmip.1999.0487