Module imagingbook.common

Package imagingbook.common.geometry.ellipse.project

Class ConfocalConicEllipseProjector

java.lang.Object

imagingbook.common.geometry.ellipse.project.EllipseProjector

imagingbook.common.geometry.ellipse.project.ConfocalConicEllipseProjector

public class ConfocalConicEllipseProjector
extends EllipseProjector

Calculates an approximate closest point on the ellipse for a given 2D point inside or outside the ellipse, using "confocal conic distance approximation" [1]. See Sec. 11.2.3 (Alg. 11.12) and Appendix F.3.1 of [2] for details.

[1] P. L. Rosin. Ellipse fitting using orthogonal hyperbolae and stirling’s oval. Graphical Models and Image Processing 60(3), 209–213 (1998).
[2] W. Burger, M.J. Burge, Digital Image Processing – An Algorithmic Introduction, 3rd ed, Springer (2022).

Version:

2022/11/17

Constructor Summary

Constructors

Constructor	Description
ConfocalConicEllipseProjector(GeometricEllipse ellipse)

Method Summary

Modifier and Type	Method	Description
protected double[]	projectCanonical(double[] uv)	Calculates the projection point in canonical coordinates.

Methods inherited from class imagingbook.common.geometry.ellipse.project.EllipseProjector

fromCanonicalFrame, fromFirstQuadrant, getDistance, getDistanceSq, project, project, toCanonicalFrame, toFirstQuadrant

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Details

ConfocalConicEllipseProjector

public ConfocalConicEllipseProjector(GeometricEllipse ellipse)

Method Details

projectCanonical

protected double[] projectCanonical(double[] uv)

Description copied from class: EllipseProjector

Calculates the projection point in canonical coordinates.

Specified by:

projectCanonical in class EllipseProjector

Parameters:

uv - target point in canonical coordinates.

Returns:

the associated "contact" point on the ellipse