| On Constructing Topologically Unrestricted B-Splines (2007) | |||||||||||||||
Abstract | |||||||||||||||
| onstructing a spline space of smoothness order k. On one hand, the degree used here is twice the minimal degree required for tensor product splines. On the other hand, however, it is essentially lower than the degree of the best known methods using the concept of geometric continuity, which is of order O(k 2 ). The space of B-splines described above yields the following structure for the control points: Always (k + 2) 2 control points are assigned to a spline segment x j and always (2k + 3) 2 control points, forming matrices c j , define it according to x j : [0; 1] 2 3 (u; v) 7\Gamma! b T (v) c j b(u) (1) with<F28.18 | |||||||||||||||
Details der Publikation | |||||||||||||||
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