I have a quadrilateral formed by the points A, B, C, D.
I want to get the barycentric coordinates u, v, w, x so that:
Au + Bv + Cw + Dx = [0, 0]
How do I find the values of u, v, w, x knowing the coordinates A, B, C, D?
2026-03-25 06:05:42.1774418742
Barycentric coordinates of the origin point of a quadrilateral
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Okay, I think I understand. To find the barycentric coordinates u, v, w, x that satisfy the given linear constraint I suppose, you can solve the following system of equations:
Au + Bv + Cw + Dx = [0, 0]
u + v + w + x = 1 (since barycentric coordinates sum to 1)
Where A, B, C and D are the position vectors of points A, B, C and D respectively that form the quadrilateral.
Solving this system of equations will give you the barycentric coordinates u, v, w, x that satisfy the given constraint. Then you can solve the system of equations for a specific quadrilateral (by providing the position vectors of A, B, C and D).