Question #45213

hello

i have many objects with known centre of mass coordinates distributed on a plane.
the objects have 2 main shapes (cudic and cylindrical).

i previously calculated the distance between there centres of mass to detect if they intersect 2 by 2.

now all what i need is to know which object is visible to the others so i can calculate the view factor
related to each object with respect to only the visible onces.

I'm waiting your help. thank's
1

Expert's answer

2014-08-25T10:13:40-0400

Answer on Question #45213 – Math - Geometry

Problem.

i have many objects with known centre of mass coordinates distributed on a plane.

the objects have 2 main shapes (cubic and cylindrical).

i previously calculated the distance between these centres of mass to detect if they intersect 2 by 2.

now all what i need is to know which object is visible to the others so i can calculate the view factor

related to each object with respect to only the visible ones.

I'm waiting your help. thank's

Solution.

There are many different cylinders (with different heights and different surfaces) with the same center of mass, so you need know the shapes of the cylinders.

Suppose that you chose some object and you need to calculate which objects are visible for it. You need to set the origin in it center mass. If it is cube, then coordinate axes should be parallel to sides of object. If it is cylinder, then the one coordinate axis should be parallel to the cylinder axis and one coordinate should be parallel to the cylinder bottom. Then you should find projection from both side on this axes to find which object are visible and which aren't.

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Comments

Issak Sdu
28.08.14, 14:34

Thanks for the reply, but the problem is more complicated: Actually I want detect these four situations: 1- Cubic Object1 is not seen by cylindrical Object2 because there is a cubic Object3 between them 2- Facet1 of cubic Object1 is fully seen by only facet2 of cubic Object3 3- Object1 is partially seen by cylindrical Object4 because Object4 is higher than Object2 and Object3 which are between Object1 and Object4 4- Facet1 of cubic Object3 is seen by two facets of cubic Object4

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