Tessellation of Curved Surfaces under Highly Varying Transformations

dc.contributor.author	Abi-Ezzi, Salim S.	en_US
dc.contributor.author	Shirman, Leon A.	en_US
dc.date.accessioned	2015-10-05T07:56:48Z
dc.date.available	2015-10-05T07:56:48Z
dc.date.issued	1991	en_US
dc.description.abstract	We pursue the problem of step size determination for tessellating arbitrary degree polynomial and rational Bezier patches, under highly varying modeling and viewing transformations, to within post-viewing size and/or deviation thresholds specified in display coordinates. The technique involves the computation of derivative bounds of surfaces in modeling coordinates, and the mapping of these bounds into world coordinates (or lighting coordinates), where tessellation takes place by using norms of modeling transformations. A key result of this work is a closed form expression for the maximum scale a perspective transformation is capable of at an arbitrary point in space. This result allows the mapping of thresholds from DC into WC (LC). In practice, while the step size determination needs to take place during every traversal, the costly operations of finding derivative bounds, computing norms of modeling transformations, and factoring viewing transformations take place at creation time.	en_US
dc.description.seriesinformation	EG 1991-Technical Papers	en_US
dc.identifier.doi	10.2312/egtp.19911028	en_US
dc.identifier.uri	https://doi.org/10.2312/egtp.19911028	en_US
dc.publisher	Eurographics Association	en_US
dc.title	Tessellation of Curved Surfaces under Highly Varying Transformations	en_US