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Boolean Set Operations with Cubic Algebraic Patches
2008
Computer-Aided Design and Applications
In this paper we discuss a symbolic-numeric algorithm for Boolean operations, closed in the algebra of curved polyhedra whose boundary is triangulated with algebraic patches (A-patches). This approach uses a linear polyhedron as a first approximation of both the arguments and the result. On each triangle of a boundary representation of such linear approximation, a piecewise cubic algebraic interpolant is built, using a C 1 -continuous prism algebraic patch (prism A-patch) that interpolates the
doi:10.3722/cadaps.2008.730-742
pmid:21516262
pmcid:PMC3080140
fatcat:vcyz3b3xojdcvestphp4wrw6w4