CS 418: Interactive Computer Graphics Bezier Patches Eric Shaffer - PowerPoint PPT Presentation

Mar 16, 2023 •475 likes •673 views

CS 418: Interactive Computer Graphics Bezier Patches Eric Shaffer Some material taken from The Essentials of CAGD by Gerald Farin and Dianne Hansford Bezier Patches The Utah teapot model Created with Bezier patches by Martin Newell in 1975

CS 418: Interactive Computer Graphics Bezier Patches Eric Shaffer Some material taken from The Essentials of CAGD by Gerald Farin and Dianne Hansford
Bezier Patches The Utah teapot model Created with Bezier patches by Martin Newell in 1975
Parametric Surfaces
Example: Parametric Surface Only a portion of surface illustrated This is also functional surface Because two of the coordinate • functions are simply u and v Parametric surfaces may be rotated or moved around Much more general than bivariate functions z = f ( x , y ) Why are parametric forms more 𝑣 general? Think about a graph of a x 𝑣, 𝑤 = 𝑤 𝑣 % + 𝑤 % function versus a parametric curve..
Bilinear Patches
Bilinear Patches
Bilinear Patches: Example
Isoparametric Curves
Curves on Patches
Bezier Patches
Bezier Patches
Bezier Patches
Bezier Patches: Example
Bezier Patches: Example
Another Approach to Evaluation
Properties of Bezier Patches
de Casteljau Algorithm
de Casteljau Algorithm

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