finding point on an ellipse

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1.00/5 (2 votes)

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C#

C#4.0

computational-geometry

hi
I want to find the point on the ellipse that intersects with an given angle taken from the origin.

Posted 9-Aug-12 23:44pm

ravithejag

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dan!sh 10-Aug-12 5:57am

As interesting as this sounds, have you tried something?

Volynsky Alex 10-Aug-12 6:01am

Please look here:
http://stackoverflow.com/questions/10692541/how-to-find-a-point-where-a-line-intersects-an-ellipse-in-2d-c
http://stackoverflow.com/questions/9032698/calculate-intersection-of-two-ellipses
and here:
http://stackoverflow.com/questions/2945337/how-to-detect-if-an-ellipse-intersectscollides-with-a-circle

ravithejag 13-Aug-12 2:56am

thanks Alex

Volynsky Alex 13-Aug-12 7:34am

You are welcome

2 solutions

Solution 1

All you need to solve that is explained rather nicely here: Points of Intersection of an Ellipse and a line[^]. Just rember that a line that goes through the point of origin is inevitably of the form:

y = x * a

With a = tan(alpha) with alpha being the angle between the abscissa[^] and the ordinate[^].

Regards,

Manfred

Posted 10-Aug-12 0:07am

Manfred Rudolf Bihy

Updated 13-Aug-12 5:39am

v5

Comments

ravithejag 13-Aug-12 2:56am

Hi Manfred,
i need to find the point by the specified angle

Manfred Rudolf Bihy 13-Aug-12 11:37am

And now? I already told you in my solution that the a line going through the point of origin has the function y = x * tan(alpha) where alpha is said angle. Which part of that did you not understand? BTW, there can be more than one point of intersection.

BillW33 13-Aug-12 14:51pm

Good answer, +5

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ravithejag · Accepted Answer · 2012-09-06T18:06:00

Solution 2

http://math.stackexchange.com/questions/96750/how-to-get-the-x-y-point-with-a-given-angle[^]

Posted 6-Sep-12 18:06pm

ravithejag