Check Ellipsoids Overlapping
Checks if there is overlapping between two ellipsoids using analytical formulas in the reference [1] .
Input
Ellipsoid1 and Ellipsoid2 are (1*9) arrays. each cell represent:
(1): radius of ellipsoids at direction 1
(2): radius of ellipsoids at direction 2
(3): radius of ellipsoids at direction 3
(4): x-cooridante of centroid
(5): y-coordinate of centroid
(6): z-coordinate of centroid
(7): Inclination angle 1
(8): Inclination angle 2
(9): Inclination angle 3
output
doOverlap: true if there is overlap, otherwise it is false
References:
[1] Wang, Wenping, Jiaye Wang, and Myung-Soo Kim. "An algebraic condition for the separation of two ellipsoids." Computer aided geometric design 18.6 (2001): 531-539.
Cite As
Ayad Al-Rumaithi (2024). Check Ellipsoids Overlapping (https://www.mathworks.com/matlabcentral/fileexchange/71709-check-ellipsoids-overlapping), MATLAB Central File Exchange. Retrieved .
MATLAB Release Compatibility
Platform Compatibility
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- Mathematics and Optimization > Mapping Toolbox > Geometric Geodesy >
- Radar > Mapping Toolbox > Geometric Geodesy >
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Version | Published | Release Notes | |
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1.0.0 |