A parameterized geometric fitting method for ellipse

作者：

Highlights：

• We accurately fit the ellipses by the proposed high-quality fitting framework.

• The parameterized ellipse fitted under the procedures of Initial ellipse, Geometric error distances, and Optimization.

• Adaptive optimization is designed and successfully implemented in several experiments.

• Dimension-reduction improves computing efficiency and is as accurate as of the unconstrained way.

摘要

•We accurately fit the ellipses by the proposed high-quality fitting framework.•The parameterized ellipse fitted under the procedures of Initial ellipse, Geometric error distances, and Optimization.•Adaptive optimization is designed and successfully implemented in several experiments.•Dimension-reduction improves computing efficiency and is as accurate as of the unconstrained way.

论文关键词：Ellipse fitting,Least squares,Levenberg–Marquardt iterations,Profile analysis

论文评审过程：Received 31 October 2019, Revised 23 December 2020, Accepted 7 March 2021, Available online 11 March 2021, Version of Record 22 March 2021.

论文官网地址：https://doi.org/10.1016/j.patcog.2021.107934