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Envelope computation in the plane by approximate implicitization
2011
Applicable Algebra in Engineering, Communication and Computing
Given a rational family of planar rational curves in a certain region of interest, we are interested in computing an implicit representation of the envelope. The points of the envelope correspond to the zero set of a function (which represents the envelope condition) in the parameter space combining the curve parameter and the motion parameter. We analyze the connection of this function to the implicit equation of the envelope. This connection enables us to use approximate implicitization for
doi:10.1007/s00200-011-0149-1
fatcat:owm256xwdjbbvkzqk6ttfuqpzu