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Showing 1 to 3 of 3 for “"implicitization"”.
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Syzygies and implicitization of tensor product surfaces
… λ allows us to formulate faster algorithms for implicitization of these surfaces and also to understand their singularities. We show that for tensor product surfaces without basepoints, the existence of a linear syzygy imposes strong conditions on the structure of the syzygies that determine the …
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Algebraic level sets for CAD/CAE integration and moving boundary problems
… the NURBS geometry and algebraic tools of <em>implicitization</em>. Such a signed distance measure, also referred to as the <em>Algebraic Level Sets</em>, gives a volumetric representation of the B-rep geometry constructed by purely non-iterative algebraic operations on the geometry. This in …
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Intersection Algorithms Based On Geometric Intervals
<p>This thesis introduces new algorithms for solving curve/curve and ray/surface intersections. These algorithms introduce the concept of a geometric interval to extend the technique of Bézier clipping. A geometric interval is used to tightly bound a curve or surface or to contain a point on a …