I understand.
Imagine I’m going to draw a foil with a Bézier or a Spline. My first step would be pick some random points (at this point the software already show me a smoothly curved line between the points). After, I would start organizing the points until the curve reach my desired shape (now the software got the equations that describes exactly my foil, otherwise that would not be a curve connecting them!). That’s the equation I want.
First, let’s imagine a matrix behind a cartesian graph. Pretty much the same as a grid. Imagine that in the middle of every square formed by the grid, there is a point.
These points correspond to each index i,j of my matrix.
Index per index (in a loop) I’m going to ask if the point is inside the surface that was created by the Bézier or Spline curve.
Not yet. I’m currently working with surfaces, which are easier. But a parametric surface’s equation is similar to a parametric curve’s equation.
I’m trying to transform a solid into a matrix!