Title :
Cubic TC-Brazier Curve with Given Tagent Polygon
Author :
Changwen Li ; Le Zou
Author_Institution :
Sch. of Math. Sci., Huaibei Normal Univ., Huaibei, China
Abstract :
An algorithm of constructing planar piecewise cubic TC-Bézier curve with all edges tagent to a given control polygon is proposed. The segmented TC-Bézier curve are shape-preserving to their tagent polygon. The all control points of the TC-Bézier curve segments can be calculated simply by the vertices of the given tagent polygon. A numerical example is given to show effectiveness of the method.
Keywords :
computational geometry; control polygon; edge tagent; planar piecewise cubic TC-Bézier curve construction; shape-preserving segmented TC-Bézier curve; tagent polygon vertices; Approximation methods; Educational institutions; Equations; Mathematical model; Splines (mathematics); Vectors; TC-Bézier curve; Tagent Polygon; shapepreserving;
Conference_Titel :
Computational and Information Sciences (ICCIS), 2013 Fifth International Conference on
Conference_Location :
Shiyang
DOI :
10.1109/ICCIS.2013.229
