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Problems involving meshes and other geometry representations, and manipulating, transforming, or extracting information from them; algorithms for solving geometrical problems such as computing intersections, filling holes, triangulating a shape, etc.

1 vote
0 answers
402 views

How does this function calculate normals of a mesh? [closed]

I have trouble understanding the following Javascript code. It calculates, given a mesh described by its vertices vs and indices ind, the normals for each vertex. The mesh faces are a triangle list, …
Nick's user avatar
  • 321
3 votes
1 answer
318 views

Meaning of the parameter in a line-plane intersection in the space

The scenery is the following: I have a polygon in the space, defined (the polygon) from your vertices. By 3 vertices of the polygon (non-aligned) revenue equation of the plane containing the polygon. …
Nick's user avatar
  • 321
3 votes
1 answer
101 views

Expressing a reflected ray at a point as a function of the incoming ray and the normal to th...

Said L the incoming ray (at a point $P$). $R$ is the reflected ray. $N$ is the normal to the surface at the point $P$. $\alpha$ is the angle between $N$ and $L$ (and $N$ and $R$ also). It is assumed …
Nick's user avatar
  • 321
2 votes
0 answers
216 views

Transform a centered isosceles trapezoid in a rectangle in 2-D

I must convert a isosceles trapezoid to a rectangle in 2-D with a shearing transformation (or with 2 shearing transformations). The isosceles trapezoid is centered in the origin of axes. It is right …
Nick's user avatar
  • 321
2 votes
1 answer
668 views

Triangulation of vertices of an ellipsoid

I have the parametric model of an ellipsoid like this: \begin{cases} x=a_1\,cos \,\eta \:cos\,\omega & -\pi\leq\omega\leq\pi \\𝑦 = 𝑎_2\,cos\,\eta\:sin\,\omega \\ z=a_3\,sin \,\eta & -\frac{\pi}{2} …
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  • 321