Generate points from given conic (A,B,C,D,E,F)

Version 1.0.0.0 (1.91 KB) by Juan
generate points from ellipse, hyperbola, circles, etc.
416 Downloads
Updated 14 Apr 2013

View License

This function generates points from a generic conic given by
parameters A,B,C,D,E and F of its canonical equation:
A*x^2 + 2*B*x*y + C*y^2 + 2*D*x + 2*E*y + F = 0
The points can be noisy, and the power of the noise can be configured
with noise_power variable (std. deviation of gaussian noise).
The number of output points can be configured with number_points

xpoints are computed depending on the given domain and number_points
ypoitns are chosen to solve the canonic equation with xpoints.
If a combinations of parameters give a unsolvable condition on the real
field, the complex numbers are ignored. Thus, sometimes a smaller number
of points can be get.

EXAMPLES:
[x,y] = points_from_conic;
plot(x,y,'g.'); title('CIRCLE')

[x,y]=points_from_conic(3,4,5,3,0,1,[-10 0],200,0.0);
plot(x,y,'r*'); title('HYPERBOLA')

[x,y]=points_from_conic(1,0,1,0,0,-1,[-2 2],100,0.05);
plot(x,y,'bo'); title('Noisy ELLIPSE')

Cite As

Juan (2024). Generate points from given conic (A,B,C,D,E,F) (https://www.mathworks.com/matlabcentral/fileexchange/41286-generate-points-from-given-conic-a-b-c-d-e-f), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2012a
Compatible with any release
Platform Compatibility
Windows macOS Linux
Categories
Find more on Linear Programming and Mixed-Integer Linear Programming in Help Center and MATLAB Answers

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!
Version Published Release Notes
1.0.0.0