Journal of Computational Design and Engineering

Society for Computational Design and Engineering (한국CDE학회)
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Orthogonal projection of points in CAD/CAM applications: an overview

  • Ko, Kwanghee (School of Mechatronics, Gwangju Institute of Science and Technology) ;
  • Sakkalis, Takis (Department of Science, Agricultural University of Athens)
  • Received : 2014.01.08
  • Accepted : 2014.02.25
  • Published : 2014.04.01
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Abstract

This paper aims to review methods for computing orthogonal projection of points onto curves and surfaces, which are given in implicit or parametric form or as point clouds. Special emphasis is place on orthogonal projection onto conics along with reviews on orthogonal projection of points onto curves and surfaces in implicit and parametric form. Except for conics, computation methods are classified into two groups based on the core approaches: iterative and subdivision based. An extension of orthogonal projection of points to orthogonal projection of curves onto surfaces is briefly explored. Next, the discussion continues toward orthogonal projection of points onto point clouds, which spawns a different branch of algorithms in the context of orthogonal projection. The paper concludes with comments on guidance for an appropriate choice of methods for various applications.

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