A normalized basis for reduced Clough-Tocher splines
نویسنده
چکیده
We present the construction of a suitable normalized B-spline representation for reduced Clough-Tocher splines. The basis functions have a local support, they are nonnegative, and they form a partition of unity. Geometrically, the problem can be interpreted as the determination of a set of triangles that must contain a specific set of points. This leads to a natural definition of tangent control triangles. We also consider a stable computation of the Bézier control net of the spline surface.
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ورودعنوان ژورنال:
- Computer Aided Geometric Design
دوره 27 شماره
صفحات -
تاریخ انتشار 2010