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(3, 3, 1, 1)层次B样条与分级T网格上多项式样条的相互转换

金良兵,邓建松-2009-12-30
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TL;DRAbstract

In this paper, we develop C^1-continuous bicubic (denoted as (3, 3, 1, 1)) hierarchical B-splines from the general hierarchical B-splines, and describe the corresponding overlay and local refinement. And then present an automatic algorithm to transform between hierarchical B-splines and polynomial splines over hierarchical T-meshes. A surface expressed in terms of hierarchical B-splines can be exactly converted into a polynomial splines over hierarchical T-meshes, and vice versa.

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In this paper, we develop C^1-continuous bicubic (denoted as (3, 3, 1, 1)) hierarchical B-splines from the general hierarchical B-splines, and describe the corresponding overlay and local refinement. And then present an automatic algorithm to transform between hierarchical B-splines and polynomial splines over hierarchical T-meshes. A surface expressed in terms of hierarchical B-splines can be exactly converted into a polynomial splines over hierarchical T-meshes, and vice versa.

Keywords

MathematicsBicubic interpolationPolynomialOverlayHierarchical database modelPolygon meshAlgorithmSurface (topology)

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