New confocal hyperbola-based ellipse fitting with applications to estimating parameters of mechanical pipes from point clouds

作者:

Highlights:

• Confocal hyperbola point to ellipse distance revisited and analytically derived.

• Performance compared to algebraic, Sampson, and Harker point to ellipse distances.

• Confocal hyperbola distance strong predictor of the true geometric distance.

• Confocal hyperbola ellipse fitting superior to established ellipse fitting methods.

• Confocal hyperbola suggested to fit ellipses in images and cylinders in point clouds.

摘要

•Confocal hyperbola point to ellipse distance revisited and analytically derived.•Performance compared to algebraic, Sampson, and Harker point to ellipse distances.•Confocal hyperbola distance strong predictor of the true geometric distance.•Confocal hyperbola ellipse fitting superior to established ellipse fitting methods.•Confocal hyperbola suggested to fit ellipses in images and cylinders in point clouds.

论文关键词:ellipse fitting,cylinder parameter estimation,point to ellipse distance approximation,ellipse detection from images,mechanical pipe detection from point clouds,construction quality assurance

论文评审过程:Received 6 December 2020, Revised 8 February 2021, Accepted 14 March 2021, Available online 19 March 2021, Version of Record 26 March 2021.

论文官网地址:https://doi.org/10.1016/j.patcog.2021.107948