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Biquartic C1-surface splines over irregular meshes

✍ Scribed by Jörg Peters

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
988 KB
Volume
27
Category
Article
ISSN
0010-4485

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✦ Synopsis

Biquartic Ckwface splines over irregular meshes

J&g Peters C'-surface splines define tangent continuous surfaces from control points in the manner of tensor-product (B-)splines, but allow a wider class of control meshes capable of outlining arbitrary free-form surfaces with or without boundary. In particular, irregular meshes with non-quadrilateral cells and more or fewer than four cells meeting at a point can be input and are treated in the same conceptual frame work as tensor-product B-splines; that is, the mesh points serve as control points of a smooth piecewise polynomial surface representation that is local and evaluates by averaging. Biquartic surface splines extend and complement the definition of Cl-surface splines in a previous paper (Peters, J SL4M.l.

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