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On Algebraic Methods for Implicit Swept Solids With Finite Extent
11
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0
References
1993
Year
Unknown Venue
Numerical AnalysisEngineeringGeometryClassical Envelope TheorySubdivision SurfaceComputer-aided DesignCurve ModelingComputational MechanicsComputational GeometryBoundary Element MethodGeometry ProcessingGeometric ModelingMethod Of Fundamental SolutionImplicit Swept SolidsSwept SolidsEnumerative GeometryGeometric AlgorithmNatural SciencesAlgebraic Swept SolidsSolid Modeling
Abstract In this paper, we consider geometric construction of swept solids using algebraic methods based on classical envelope theory. Methods are presented for construction of algebraic swept solids with finite extent and variable geometry. Problems of local and global self-intersection (undercutting in the terminology of cam design) are considered, and void removal concepts are demonstrated. Examples presented include offsets of Bezier curves and twisted sweeps with ellipsoidal primitives.