A normalized basis for reduced Clough–Tocher splines
نویسندگان
چکیده
منابع مشابه
A normalized basis for reduced Clough-Tocher splines
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 contro...
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We construct a suitable normalized B-spline representation for C-continuous quintic Powell-Sabin splines. The basis functions have a local support, they are nonnegative, and they form a partition of unity. The construction is based on the determination of a set of triangles that must contain a specific set of points. We are able to define control points and cubic control polynomials which are t...
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ژورنال
عنوان ژورنال: Computer Aided Geometric Design
سال: 2010
ISSN: 0167-8396
DOI: 10.1016/j.cagd.2010.09.003