| Popis: |
A polar configuration is a triangle fan in a quad-dominant mesh; it allows for many mesh lines to join at a single polar vertex. This paper shows how a single tensor-product spline of degree ( 3 , 6 ) can cap a polar?configuration?with a C 2 surface. By design, this C 2 polar spline joins C 2 with surrounding bi-3 tensor-product splines and thereby complements algorithms that smoothly cap star-like, multi-sided regions. Highlights? A polar configuration is a triangle fan within a quad-dominant mesh. ? It occurs naturally where many parameter lines join. ? We construct a single degree-(3, 6) spline that caps a given polar configuration. ? This C 2 polar spline joins C 2 with surrounding bicubic splines. |
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