@inproceedings{6775b983ad1946f190a6f04eb90c1b58,
title = "Parameter Estimation of Point Projection on NURBS Curves and Surfaces",
abstract = "This paper proposes an algorithm for estimation of point projection parameters, based on pruning on the explicit convex hull of the squared distance function. The explicit expression of the squared distance function is deduced. According to the special requirement of point projection, the convex hull of the squared distance function is incrementally constructed. In each step, regions that obviously contain no projection points are eliminated from the base curve or surface, by intersecting the current nearest distance line with the convex hull. When the user-defined tolerances are satisfied, iteration algorithms are used to get the precise projection points. Experimental results show that compared with existing algorithms using clipping circle/sphere or line/plane, this algorithm possesses higher elimination rate and computation speed.",
keywords = "Convex hull, NURBS, Point projection",
author = "Song, \{Hai Chuan\} and Shi, \{Kan Le\} and Yong, \{Jun Hai\} and Xin Qiao and Yang Lu",
note = "Publisher Copyright: {\textcopyright} 2015 IEEE.; 14th International Conference on Computer-Aided Design and Computer Graphics, CAD/Graphics 2015 ; Conference date: 26-08-2015 Through 28-08-2015",
year = "2016",
month = apr,
day = "8",
doi = "10.1109/CADGRAPHICS.2015.37",
language = "英语",
series = "Proceedings - 2015 14th International Conference on Computer-Aided Design and Computer Graphics, CAD/Graphics 2015",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "41--48",
booktitle = "Proceedings - 2015 14th International Conference on Computer-Aided Design and Computer Graphics, CAD/Graphics 2015",
address = "美国",
}