Check Ellipsoids Overlapping

版本 1.0.1 (1.7 KB) 作者: Ayad Al-Rumaithi

Checks if there is overlapping between two ellipsoids

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更新时间 2024/9/16

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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.

引用格式

Ayad Al-Rumaithi (2024). Check Ellipsoids Overlapping (https://www.mathworks.com/matlabcentral/fileexchange/71709-check-ellipsoids-overlapping), MATLAB Central File Exchange. 检索来源 2024/10/2.