Energy Formulations of Algebraic Splines
نویسندگان
چکیده
A-splines are implicit real algebraic curves in Bernstein-B ezier (BB) form that are smooth. We develop a spectrum of physical A-spline curve models using various energy formulations based on the theory of elasticity. Our bending and stretching energy formulations yield interactive physically based modeling with A-splines while preserving the advantages of free-form modeling of complex shapes. Algorithms which nd energy-minimizing splines for these formulations are then presented.
منابع مشابه
Energy formulations of A-splines
A-splines are implicit real algebraic curves in Bernstein-Dezier (BB) form that are smooth. We develop a spectrum of physical A-spline curve models using various energy formulations based OIl the theory of elasticity. Qur bending and stretching energy formulations yield interactive physically based modeling with A-splines while preserving the advantages of frce-form modeling of complex shapes.
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