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Parametric tests for surface-surface intersections. #1

Description

@jbrezmorf

Implement a parametric test:

  • takes a function f(x,y) and two intersecting planes:
    z=p(x,y) # this can be fixed to Z=0 plane
    z=q(x,y) # this plane can be arbitrary

  • assume plane intersection at line r, parametric x,y = r(t)

  • we compute function g(x,y) = f + q

  • We transform a set of points zi = g(xi, yi) to an arbitrary different coordinate system UVW

  • Create two surfaces as approximations to the point clouds.

  • compute intersection curve and compare it to g(r(t))

  • combine different choices of: function f, plane q, coordinate system UVW

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