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http://dx.doi.org/10.7315/CADCAM.2013.49

Analysis on Point Projection onto Curves  

Ko, Kwang Hee (School of Mechatronics, Gwangju Institute of Science and Technology)
Publication Information
Korean Journal of Computational Design and Engineering / v.18, no.1, 2013 , pp. 49-57 More about this Journal
Abstract
In this paper, orthogonal projection of a point onto a 2D planar curve is discussed. The problem is formulated as finding a point on a curve where the tangent of the curve is perpendicular to the vector connecting the point on the curve and a point in the space. Existing methods are compared and novel approaches to solve the problem are presented. The proposed methods are tested with examples.
Keywords
Curve; Orthogonal projection; Point;
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  • Reference
1 Hoschek, J. and Lasser, D., 1993, Fundamentals of Computer Aided Geometric Design, A. K. Peters.
2 Press, W. H., Teukolsky, S. A., Vetterling, W. T. and Flannery, B. P., 1992, Numerical Recipes in C, 2nd Edition, Cambridge.
3 Hu, S.-M. and Wallner, J., 2005, A Second Order Algorithm for Orthogonal Projection onto Curves and Surfaces, Computer Aided Geometric Design, 22(3), pp. 251-260.   DOI   ScienceOn
4 Selimovic, I., 2006, Improved Algorithms for the Projection of Points on NURBS Curves and Surfaces, Computer Aided Geometric Design, 23, pp. 439-445.   DOI   ScienceOn
5 Ma, Y. L. and Hewitt, W. T., 2003, Point Inversion and Projection for NURBS Curve and Surface: Control Polygon Approach, Computer Aided Geometric Design, 20, pp. 79-99.   DOI   ScienceOn
6 Chen, X.-D., Yong, J.-H., Wang, G., Paul, J.-C. and Xu, G., 2008, Computing the Minimum Distance be Tween a Point and a NURBS Curve, Computer-Aided Design, 40, pp. 1051-1054.   DOI   ScienceOn
7 Patrikalakis, N. M. and Maekawa, T., 2001, Shape Interrogation for Computer Aided Design and Manufacturing, Springer.
8 Struik, D. J., 1961, Lectures on Classical Differential Geometry, Dover, New York.