Manifolds
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We have developed a new graphical representation that uses the structure of manifolds. Multiple overlapping parameterizations, called charts, describe the topology of an object, and functions defined through these multiple parameterizations then associate geometry with the object. Our system generalizes the traditional uniform tensor-product B-spline basis functions to make surfaces of complex topology and arbitrary levels of parametric continuity automatically from polyhedral sketches of arbitrary topology [GRIM95a].
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