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Calculate internal angles of an Trilinear interpolation Cube

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Old   October 8, 2011, 10:09
Default Calculate internal angles of an Trilinear interpolation Cube
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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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Old   October 11, 2011, 10:09
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Quote:
Originally Posted by zampa View Post
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.
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Old   October 11, 2011, 11:18
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Ok. Yes, itīs 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?
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