A branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.

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How to generate a rotation matrix or a quaternion (properly rotated in regards to texture coordinates) for each triangle of a mesh?

I'm trying to build a uniform grid made of 3D points over the surface of an arbitrary mesh (we have texture-coordinates for each vertex...) Or to reformulate: imagine a mesh textured with a texture ...
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1answer
1k views

How do I determine the collision normal in an axis aligned bounding box collision?

I have a 3d moving box and a stationary box. I can detect collisions ok but now I would like to slide the moving box against the stationary box as a collision response. For this I need the normal of ...
3
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2answers
251 views

How to generate slopes that meet the plane, is using collision detection a good idea?

I have a terrain, which is defined by mesh. And there are a lot of other polygonal faces scattered throughout the terrain, they can be located above, or below or cutting through the terrain. You can ...
0
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1answer
308 views

How do I rotate a segment + normal so that the normal is (0,-1) and the segment is now axis aligned

I have an arbitrary line segment, which may or may not be axis aligned along with its normal eg: Segment(Coord(-1,-1), Coord(1,1), Coord(-1, 1).normalize) which represents a line segment with a 45 ...
6
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2answers
607 views

Perspective in early pseudo-3d games

Please take a look at the screenshot below, from the old classic Space Harrier. My question regards the curved perspective on the chequerboard 'ground'. It's got a strangely curved geometry (I ...
8
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1answer
204 views

What are some ways to implement variable body shapes?

Games like Ryzom and the Sims allow players to have human bodies with different shapes: wide or thin, tall or short, big noses or small, etc. It seems to me that it'd be impractical to pre-generate ...
1
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2answers
481 views

Rotating coordinate system

Lets say that you want to rotate simple cube around fixed point in center. Is it possible to use such coordinate system, that you need to use only sine and cosine in order to rotate? I have done ...
1
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1answer
273 views

Frenet frame and application

I have just been reviewing Frenet Frame math. It is an interesting geometrical issue. I know that common applications are: camera movement along a curve tube and ribbons surface Can someone ...
0
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3answers
304 views

exact point on a rotating sphere

I have a sphere that represents the Earth textured with real pictures. It's rotating around the x axis, and when user click down it has to show me the exact place he clicked on. For example if he ...
4
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1answer
3k views

How do I find rotation in 3D based on a vector/normal?

I've been playing with Blender and Python, doing basic things like accessing vertices/normals,etc. I can get the normal of each face of a mesh. I was wondering, how can I get the rotation of a face ...