A Design Method of Control-Theoretic B-spline Curves for Modeling Dynamic Font-based Hairy-brush Characters

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This paper presents a design method of the so-called “control-theoretic B-spline curves” for modeling hairy-brush characters, as shown in Japanese calligraphy. The curves are constituted by employing normalized, uniform B-splines as basis functions. Then, we formulate the curve-design problem as an optimal control problem, which minimizes an input energy of trajectory in the stroke of characters. A modeling example of characters is included.

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