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Dynamic Evaluation of Free-Form Curves and Surfaces
2017
SIAM Journal on Scientific Computing
Free-form curves and surfaces represented by control points together with well-defined basis functions are widely used in computer aided geometric design. Efficient evaluation of points and derivatives of free-form curves and surfaces plays an important role in interactive rendering or CNC machining. In this paper we show that free-form curves with properly defined basis functions are the solutions of linear differential systems. By employing typical numerical methods for solving the
doi:10.1137/16m1058911
fatcat:ytbkv7foijbrngxthr6ylrslma