All Questions
Tagged with curve mathematics
5 questions
3
votes
2
answers
671
views
Fake cubic Hermite spline interpolation with smoothstep
When scaling an image with Bicubic Interpolation, the Cubic Hermite spline interpolation is used. smoothstep is one of the four basis/blend functions of this kind ...
- 131
3
votes
1
answer
613
views
Determining Rational Quadratic Bezier Curve Weights for Circle
I am trying to create a spherical interpolation with 3 points. I'm currently using Quadratic Bezier Interpolation but have been told I should use Rational Quadratic Bezier Curve in order to get a ...
0
votes
1
answer
164
views
How do you compute the winding number of a closed poly curve?
Pretty much the title, given a closed curve in 2D, defined by a set of points, and a point. What's the algorithm to calculate the winding number of that curve, point pair?
- 1,831
4
votes
1
answer
235
views
How do people come up with subdivision schemes?
Be it chaikin subdivision, loop subdivision, catmull-clark subdivision...
How do people come up with the coefficients for an arbitrary subdivision scheme?
- 1,831
3
votes
3
answers
117
views
Does the blending matrix change between calculating various curve segments in a uniform cubic B-splines approximation?
I would like to ask about uniform (periodic) cubic B-splines (approximation, no interpolation).
$$B=1/6\begin{bmatrix}-1&3&-3&1\\3&-6&3&0\\-3&0&3&0\\1&4&1&...
- 321