PTCA635 发表于 2025-3-28 17:57:15
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https://doi.org/10.1007/978-3-642-99434-0In computer graphics, it is of interest to . a Beta-spline, that is, create a realistic two-dimensional image representing three-dimensional Beta-spline objects. This chapter shows several synthetic color images of Beta-spline objects including such features as specular highlights and texture patterns.Processes 发表于 2025-3-28 23:30:57
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The Parametric Piecewise Representation,The parametric representation of a curve has each component expressed as a separate univariate (single parameter) function while that of a surface has each component defined by a separate bivariate (two parameter) function.波动 发表于 2025-3-29 07:55:48
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Geometric Continuity and Shape Parameters,Given the two curves ..(.) and ..(.), consider the joint .. Recalling equation (4.1), continuity of the unit tangent vector is achieved if.that is,.or..浸软 发表于 2025-3-29 23:10:29
Explanation of the Surface Representation,A point on the (.). Beta-spline surface patch is a weighted average of the sixteen vertices .., . = −2, −1, 0, 1 and . = −2, −1,0,1. The mathematical formulation for the patch ..(.) is then没有准备 发表于 2025-3-30 01:38:00
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