The family of biarcs that matches planar, two-point G1 Hermite data

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摘要

The biarc is a curve made by joining two circular arcs in a G1 fashion. There is a one-parameter family of biarcs that can match given planar, two-point G1 Hermite data. This note considers the range of G1 Hermite data that can be matched, identifies the region in which the members of the family of biarcs lie, and shows that there is exactly one member biarc passing through each point in that region.

论文关键词:68U07,Family of biarcs,Two-point G1 Hermite interpolation

论文评审过程:Received 28 February 2006, Revised 21 August 2006, Available online 23 January 2007.

论文官网地址:https://doi.org/10.1016/j.cam.2006.11.018