| Interpolating Rational Splines in Three Dimensional Space |
| Received:May 29, 1995 |
| Key Words:
partition interpolation rational spline.
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| Fund Project:Supported by the National Natural Science Foundation of China. |
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| Abstract: |
| Let a polyhedron in three dimensional space be decomposed into tetrahedral cells by a certain partition. In this paper efforts are made on assigning appropriate nodes along the edges of every tetrahedron and characterizing interpolation data that determine a unique rational function of type (1,1), which is nonsingular in the corresponding tetrahedron. By constructing suitable basis functions and restricting the interpolation data, necessary and sufficient conditions for the existence of rational splines with C0 as well as C1 smoo thness are fo rmulated respectively. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.1998.02.005 |
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