PTCA635 发表于 2025-3-28 17:57:15

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octogenarian 发表于 2025-3-28 21:45:08

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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Graphite 发表于 2025-3-29 04:25:02

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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雕镂 发表于 2025-3-29 14:09:13

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incite 发表于 2025-3-29 16:12:28

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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我正派 发表于 2025-3-30 04:24:32

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查看完整版本: Titlebook: Computer Graphics and Geometric Modeling Using Beta-splines; Brian A. Barsky Book 1988 Springer-Verlag Berlin Heidelberg 1988 computer gra