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- W2000742570 abstract "The bisector of a fixed point p and a smooth plane curve C—i.e., the locus traced by a point that remains equidistant with respect to p and C—is investigated in the case that C admits a regular polynomial or rational parameterization. It is shown that the bisector may be regarded as (a subset of) a “variable-distance” offset curve to C which has the attractive property, unlike fixed-distance offsets, of being generically a rational curve. This “untrimmed bisector” usually exhibits irregular points and self-intersections similar in nature to those seen on fixed-distance offsets. A trimming procedure, which identifies the parametric subsegments of this curve that constitute the true bisector, is described in detail. The bisector of the point p and any finite segment of the curve C is also discussed." @default.
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- W2000742570 date "1994-04-01" @default.
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- W2000742570 title "The bisector of a point and a plane parametric curve" @default.
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- W2000742570 doi "https://doi.org/10.1016/0167-8396(94)90029-9" @default.
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