Questions tagged [vectors]
The vectors tag has no usage guidance.
10 questions with no upvoted or accepted answers
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Represent vector with arrow
Another code review question.
I am trying to draw an arrow to represent a vector. I have started with an unit arrow with vertices defined as follows:
...
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When should operations on 4D (homogeneous/projective) vectors use the w-coordinate?
Various operations on 2D vectors naturally generalise to 3D vectors simply by including the $z$-coordinate. The ones that come to mind are:
Vector sum and difference
Dot product
Magnitude (Euclidean ...
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Mathematical foundations of Signed Distance Fields in computer graphics
I have come across Signed Distance Field usage in Computer Graphics in construction of vector shapes, glyphs and 3D surfaces. However I can not find much of the background mathematical theory as to ...
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Application of parallel transport in computer graphics and mesh processing
Does anyone know what applications has the computation of a parallel transport on a mesh?
I'm talking about methods such as this one
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Basis vectors and plane equation
I'm trying to understand basis vectors and the plane equation and I am confused. From what I saw, if we take a basis vector i, j, k, each variable point to the axe (x, y, z). Are i,j,k scalars or ...
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Environment map: inverting (phi, theta) to (x,y,z) mapping
I'm currently working on a ray tracer in C++ as an assignment. This ray tracer needs to take into account environment maps, which I also need to implement a part of. From my understanding of an ...
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GLSL reflect function math correct?
In the documentation of GLSL - reflect given a surface normal $N$ and an incident vector $I$ the calculation being performed is reported as
$$
\text{reflect}(I,N) = I - 2\text{dot}(I,N)N
$$
I wonder ...
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How do I figure rotation from the difference between two vectors?
I've been playing around with an idea, but I'm struggling with some of the math involved.
Now, each face of a mesh has a normal vector, and that the normal map fragment shader modifies that face ...
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Crystal ball rotation - I don't get why the code works
For context:
I'm absolutely new to graphics programming and I've always had trouble getting the math.
I had the task to write code for a crystal ball interface using OpenGL.
There's an object in the ...
user13665
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Mathematics in Computer Graphics
Can you please recommend some topic for research work related to mathematics in CG?
(Maybe something like "Affine transformations in CG")
