Generation of Rational Cubic Bezier Curve with Given Tangent Vectors

Shengping JIANG  Mingmin XU  Hiroyuki ANZAI  Akio TAMURA  

Publication
IEICE TRANSACTIONS on Information and Systems   Vol.E79-D    No.9    pp.1337-1343
Publication Date: 1996/09/25
Online ISSN: 
DOI: 
Print ISSN: 0916-8532
Type of Manuscript: PAPER
Category: Image Processing,Computer Graphics and Pattern Recognition
Keyword: 
rational cubic Bezier,  tangent vector,  curve,  iteration method,  

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Summary: 
In CAD and curve-fitting fields, we want to generate such rational cubic Bezier curve which is a unique curve passed given points and convenient to connect other curve segments with C1 connection. However, the method proposed in paper [1] can not meet above objective. in this paper, we propose a new method for generating a unique rational cubic Bezier curve which passed given points. The generated curve is with given tangent vectors at its two end points, and it is convenient to connect other curve segments with C1 connection. Also, some examples of curve generated by this method are given.