5
votes
1answer
1k views

How do I calculate the normal of a plane defined using homogeneous coordinates?

I can define a plane in 3D space using three 3D points (p0, p1, p2) that all lie in the plane and that form a non-degenerate triangle. Calculating the normal of the plane is as simple as calculating ...
2
votes
2answers
542 views

How to interpolate a height-map with normals

My Task I want to interpolate a heightmap by using the normal of each nearby point of the heightmap which is calculated before. When having 4 Points before i gonna have 9 points after it. ( See this ...
3
votes
1answer
956 views

Normal transformation and homogeneous coordinates

I'm very confused about the math behind the model/affine transformation expressed in homogeneous coordinates. Reading this article, I understood that a generic vector is transformed by multiplying it ...
4
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4answers
1k views

How to find two perpendicular lines given a single plane

Hey guys, i was wondering how i would go about finding the perpendicular lines relative to a surface normal. For instance say i have (0,0,1) the expected output would be (1,0,0) and (0,1,0). What ...