Orthogonal projection of points in CAD/CAM applications: an overview. Issue 2 (1st April 2014)

• Record Type: Journal Article
• Authors: Ko, Kwanghee; Sakkalis, Takis
• Is Part Of: Journal of computational design and engineering. Volume 1:Issue 2(2014)
• Page Start: 116
• Page End: 127
• Publication Date: 2014-04-01
• Subjects: Orthogonal projection -- Point projection -- Curve projection -- Registration -- Minimum distance -- Directed projection; Engineering -- Data processing -- Periodicals; Computer-aided design -- Periodicals; Computer-aided design; Engineering -- Data processing; Electronic journals; Electronic journals; Periodicals; 620.0042
• DOI: 10.7315/JCDE.2014.012
• Languages: English
• ISSNs: 2288-4300

Abstract

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.