An application of techniques is presented to construct G^(1 )smooth surfaces by using acombination of the rectangular and triangular Bezier patches of degree as low as possible. TheG^(1) smooth surfaces have the local...An application of techniques is presented to construct G^(1 )smooth surfaces by using acombination of the rectangular and triangular Bezier patches of degree as low as possible. TheG^(1) smooth surfaces have the local property and interpolate the given data and inherit thetopology imposed by the given space convex quadrilateral partition and triangulation. The papergeneralizes current approaches for assembling of rectangular and triangular patches.展开更多
This paper describes practical approaches on how to construct bounding pyramids and bounding cones for triangular Bezier surfaces. Examples are provided to illustrate the process of construction and comparison is made...This paper describes practical approaches on how to construct bounding pyramids and bounding cones for triangular Bezier surfaces. Examples are provided to illustrate the process of construction and comparison is made between various surface bounding volumes. Furthermore, as a starting point for the construction, we provide a way to compute hodographs of triangular Bezier surfaces and improve the algorithm for computing the bounding cone of a set of vectors. [ABSTRACT FROM AUTHOR]展开更多
文摘An application of techniques is presented to construct G^(1 )smooth surfaces by using acombination of the rectangular and triangular Bezier patches of degree as low as possible. TheG^(1) smooth surfaces have the local property and interpolate the given data and inherit thetopology imposed by the given space convex quadrilateral partition and triangulation. The papergeneralizes current approaches for assembling of rectangular and triangular patches.
基金NKBRSF on Mathematics Mechanics! (grant G1998030600)the National Natural Science Foundation of China! (grants 69603009 and 1
文摘This paper describes practical approaches on how to construct bounding pyramids and bounding cones for triangular Bezier surfaces. Examples are provided to illustrate the process of construction and comparison is made between various surface bounding volumes. Furthermore, as a starting point for the construction, we provide a way to compute hodographs of triangular Bezier surfaces and improve the algorithm for computing the bounding cone of a set of vectors. [ABSTRACT FROM AUTHOR]
