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 p...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
In this paper, we investigate the inherent relationship between two types of rational Bezier surfaces. We present a conversion formula for rational Bezier surfaces from triangular patches to rectangular patches with s...In this paper, we investigate the inherent relationship between two types of rational Bezier surfaces. We present a conversion formula for rational Bezier surfaces from triangular patches to rectangular patches with straight forward geometric interpretations, an inverse process of such conversion is also considered.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.
文摘In this paper, we investigate the inherent relationship between two types of rational Bezier surfaces. We present a conversion formula for rational Bezier surfaces from triangular patches to rectangular patches with straight forward geometric interpretations, an inverse process of such conversion is also considered.