Java·Applied·Geodesy·3D - Ellipse fitting

Ellipse fitting (reply)

a2pac — Tue, 13 Jul 2021 12:39:27 +0000

Micha,

the attached literature gives me all the answers.
Thank you for your help and responsiveness.

Antonio

Ellipse fitting (reply)

Micha — Mon, 12 Jul 2021 15:14:10 +0000

Hello,

the equation is given by

$\sum_{j=1}^2 s_j = 2a$

where

$s_j = |P_i - F_j|$

is the distance between the i-th point and the j-th focal point. Parameter a denotes the major semi-axis.

This model is also valid for the spatial case, cf. Lösler, M. and Nitschke, M., 2010. Bestimmung der Parameter einer Regressionsellipse in allgemeiner Raumlage. Allgemeine Vermessungs-Nachrichten, Vol. 117(3), pp. 113-117

and can be used to parametrize an elliptical cylinder, cf. Lösler, M. 2020. Modellierung und Bestimmung eines elliptischen Zylinders. Allgemeine Vermessungs-Nachrichten, Vol. 127(2), pp. 87-93

Kind regards
Micha

Ellipse fitting (reply)

a2pac — Mon, 12 Jul 2021 13:44:25 +0000

Using 2D data.

Kindly,
Antonio

Ellipse fitting (reply)

Micha — Mon, 12 Jul 2021 13:20:15 +0000

Hello Antonio,

What approach/equation is the least square fit of an ellipse based on? Can you refer me to any relevant literature?

Using 2D or 3D data?

Kind regards
Micha

Ellipse fitting

a2pac — Mon, 12 Jul 2021 13:03:10 +0000

Hallo,

I am investigating the JUniForm module of JAG3D, specifically the ellipse fitting function. Without more detailed descriptions I cannot understand the equation given under Properties > Feature. What approach/equation is the least square fit of an ellipse based on? Can you refer me to any relevant literature?

I would very much appreciate if you took the time to read and answer my question.

Thank you,
Antonio