Calculate internal angles of an Trilinear interpolation Cube

zampa · October 8, 2011, 11:09

Does anybody know the (computational) fastest way to calculate the internal angles (minimal internal angle) of a cube, result of a trilinear interpolation between 8 points, in 3D space, of course.

Rami · October 11, 2011, 11:09

Quote:

Originally Posted by zampa

Does anybody know the (computational) fastest way to calculate the internal angles (minimal internal angle) of a cube, result of a trilinear interpolation between 8 points, in 3D space, of course.

Aren't all the cube internal angles 90 degrees?...
I guess you meant a hexa rather than a cube.
A straightforward way is computing angles from scalar product of vectors. Doing this for all the combinations you need, you can find the minimum angle.
Not sure this is the fastest way, and whether it is what you were asking.

zampa · October 11, 2011, 12:18

Ok. Yes, it´s a hexa, resulting from a trilinear interpolation between 8 vertices.

And yes, actually I use the common way calculating each vector and the angles between them.

I could save time, by allocating a Matrix with all vectors. So I only compute each vector one time.

But does anyone know of a method, for example taking some diagonal, in order to save computacional cost?

October 8, 2011, 11:09	Calculate internal angles of an Trilinear interpolation Cube	#1
zampa New Member Join Date: Aug 2011 Posts: 8 Rep Power: 16	Does anybody know the (computational) fastest way to calculate the internal angles (minimal internal angle) of a cube, result of a trilinear interpolation between 8 points, in 3D space, of course.

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October 11, 2011, 12:18		#3
zampa New Member Join Date: Aug 2011 Posts: 8 Rep Power: 16	Ok. Yes, it´s a hexa, resulting from a trilinear interpolation between 8 vertices. And yes, actually I use the common way calculating each vector and the angles between them. I could save time, by allocating a Matrix with all vectors. So I only compute each vector one time. But does anyone know of a method, for example taking some diagonal, in order to save computacional cost?