Finding the best conic approximation to the convolution curve of two compatible conics based on Hausdorff distance

@article{Hur2009FindingTB,
  title={Finding the best conic approximation to the convolution curve of two compatible conics based on Hausdorff distance},
  author={Seok Hur and Tae-wan Kim},
  journal={Computer-Aided Design},
  year={2009},
  volume={41},
  pages={513-524}
}
We consider the convolution of two compatible conic segments. First, we find an exact parametric expression for the convolution curve, which is not rational in general, and then we find the conic approximation to the convolution curve with the minimum error. The error is expressed as a Hausdorff distance which measures the square of the maximal collinear normal distance between the approximation and the exact convolution curve. For this purpose, we identify the necessary and sufficient… CONTINUE READING

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