The conversion matrix between uniform B-spline and Bézier representations
Computer Aided Geometric Design
GI '07 Proceedings of Graphics Interface 2007
ACM SIGGRAPH 2011 papers
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In this work, a new method for the layout of text strings over some given free-form parametric base curves are considered. Each letter of the string is represented by a collection of cubic and linear Bézier curves. The layout of the string over the free-form parametric curve is derived as a symbolic composition of the string geometry (i.e. a sequence of Bézier curves) and a free-form parametric surface S(u, v) with the parameters u, v between zero and one, and S(u, 0) is given by the base curve. This method has proven to provide great flexibility and give high quality results in layout of text.