- #1
Michel_vdg
- 107
- 1
Hello,
I would like find a way to figure out how many unique collision there are between 2 equally subdivided ellipsoids (velocity=1).
When you have 2 ellipsoids and you let them collide than you have an infinite amount of possible outcomes.
The goal is to reduce this infinite number to a manageable list of for example unique 32 collisions by:
--
Attached is an overview where the Ellipse A is Set and B comes flying in (see pic.), and where:
I don't know if such a method already exists or if this is perhaps something that should be solved with a Monte Carlo method or ... all suggestions are welcome to tackle this issue.
Kind regards,
m.
I would like find a way to figure out how many unique collision there are between 2 equally subdivided ellipsoids (velocity=1).
When you have 2 ellipsoids and you let them collide than you have an infinite amount of possible outcomes.
The goal is to reduce this infinite number to a manageable list of for example unique 32 collisions by:
- Subdividing the ellipsoids, so instead of having an infinite number of points on these ellipsoids where they can hit, they are subdivided into 3 zones (I-II-III per quarter).
- Reduce the possible rotation angles into steps of 15°
- Using symmetry, to cancel out the collisions that are the same when A hits B vs. B hits A, and the outcome of a collision on the left side is symmetric to one on the right, or back and front etc.
--
Attached is an overview where the Ellipse A is Set and B comes flying in (see pic.), and where:
- B is shifted a couple of steps along the vertical-axis (right-top).
- B is rotated in relation to A in steps of 15° (left-bottom)
- B is rotated in relation to A in steps of 15° and B itself is rotated 15° (right-bottom)
- B is shifted a couple of steps along the horizontal-axis and B itself is rotated 105°(left-top).
I don't know if such a method already exists or if this is perhaps something that should be solved with a Monte Carlo method or ... all suggestions are welcome to tackle this issue.
Kind regards,
m.