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_id	4bd7
authors	Kalay, Yehuda E.
year	1981
title	Recursive Subdivision of Rectangular Bicubic Bezier Patches Using Patch Re-Parametrization
source	October, 1981. 7 p. : ill. includes bibliography
summary	This paper presents an analytical approach for the subdivision of curved surfaces made of rectangular patches, exploiting the properties of the Bernstein-Bezier surface representation. It is presented and demonstrated for the recursive subdivision of a patch into 4 sub-patches. It utilizes the linear dependency between the parametric vectors and the surface to re-parametrize the equation of the patch, and builds a quadtree of the patches. This method is useful for reducing the curvature of individual patches until some arbitrary criterion of planarity has been reached. Once reach, patches can be intersected analytically, to find the locus of intersection between two curved surfaces
keywords	recursion, algorithms, Bezier, parametrization, curves, curved surfaces, intersection
series	CADline
email
last changed	2003/06/02 13:58

_id	20b5
authors	Kalay, Yehuda E.
year	1981
title	Interactive Shape Generation and Spatial Conflict Testing
source	ACM IEEE Design Automation Conference Proceedings (18th : 1981 : Nashville, Tennessee). pp. 75-81 : ill. includes bibliography
summary	A general purpose, research oriented, interactive modeling system is presented. It is based on two different coherent polyhedral shape representations: a planar graph, used for computation and data manipulation, and relational-database for compact store and general communication with application programs. The two representations effectively partition the system shape-space into active and inactive shapes, respectively. These are explicitly interchangeable by the user, keeping the actual workspace at a manageable size. The basic functionalities provided by the system include the combination of primitive shapes into complex objects by means of spatial set operators (union, intersection and difference), their modeling by means of scaling, rotation and translation, spatial interference detection and graphical display capabilities
keywords	geometric modeling, solid modeling, representation, boolean operations, B-rep, intersection
series	CADline
email
last changed	2003/06/02 13:58

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