A fast robust geometric fitting method for parabolic curves

作者：

Highlights：

• A new method to fit parabolic curves is presented.

• The method is fast and robust to noisy observations due to the use of absolute error minimization.

• Stability is further improved by normalization of the directrix vector.

• Our approach outperforms state of the art competitors in both synthetic and real datasets.

摘要

•A new method to fit parabolic curves is presented.•The method is fast and robust to noisy observations due to the use of absolute error minimization.•Stability is further improved by normalization of the directrix vector.•Our approach outperforms state of the art competitors in both synthetic and real datasets.

论文关键词：Parabolic fitting,Geometric curve fitting,Noise,Minimization of absolute errors,Robust estimation

论文评审过程：Received 15 November 2017, Revised 4 July 2018, Accepted 16 July 2018, Available online 18 July 2018, Version of Record 29 July 2018.

论文官网地址：https://doi.org/10.1016/j.patcog.2018.07.019