Explicit Adaptive Tessellation based on re-parametrization on Graphics Hardware

Martinelli, Alessandro

Explicit Adaptive Tessellation based on re-parametrization on Graphics Hardware

Files

031-038.pdf (507.33 KB)

Date

2007

Authors

Martinelli, Alessandro

Publisher

The Eurographics Association

Abstract

We propose to use an explicit function for adaptive tessellation of parametric curves and surfaces. This function behaves as a new parametrization from the surface domain (or curve domain) to the domain itself; it is build using information about derivatives and curvature: a fixed tessellation may be re-arranged in an adaptive tessellation, which takes care of those parts of the curve or surface which need to be tessellated more and those which may use a poorer tessellation. We show how to produce and how to use the kernel function with four example: a simple cubic curve, a spline curve, a cubic bezièr triangle and a cubic quadrilateral patch. For every example, we compare the fixed tessellation with the adaptive one: the number of vertexes used is always the same, but the points are re-arranged in a better way. At the end we show how to use commonly known forward differencing methods to evaluate both the explicit parametrization and the curve or surface; we also show how simply this method may be implemented on common graphics cards.

        @inproceedings{:10.2312/LocalChapterEvents/ItalChap/ItalianChapConf2007/031-038
,
booktitle = {Eurographics Italian Chapter Conference
},
editor = {Raffaele De Amicis and Giuseppe Conti
},
title = {{Explicit Adaptive Tessellation based on re-parametrization on Graphics Hardware
}},
author = {Martinelli, Alessandro
},
year = {2007
},
publisher = {The Eurographics Association
},
ISBN = {978-3905673-62-3
},
DOI = {/10.2312/LocalChapterEvents/ItalChap/ItalianChapConf2007/031-038
}
}