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- W1966858722 abstract "In this paper, we present three different formulae for computing the degree of the offset of a real irreducible affine plane curve C given implicitly, and we see how these formulae particularize to the case of rational curves. The first formula is based on an auxiliary curve, called S , that is defined depending on a non-empty Zariski open subset of R 2 . The second formula is based on the resultant of the defining polynomial of C , and the polynomial defining generically S . The third formula expresses the offset degree by means of the degree of C and the multiplicity of intersection of C and the hodograph H to C , at their intersection points." @default.
- W1966858722 created "2016-06-24" @default.
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- W1966858722 date "2005-02-01" @default.
- W1966858722 modified "2023-09-26" @default.
- W1966858722 title "Degree formulae for offset curves" @default.
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- W1966858722 doi "https://doi.org/10.1016/j.jpaa.2004.08.026" @default.
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