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$\begingroup$ What exactly should be the output? (orthogonal projection with respect to the normal vector?) what should happen outside the triangle? $\endgroup$– ThomasCommented Jan 25, 2023 at 18:28
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$\begingroup$ The output is a point on the triangle such that the distance from the original point to its projection is the shortest euclidean distance between the point and any point on the triangle. $\endgroup$– MakoganCommented Jan 25, 2023 at 20:02
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$\begingroup$ well you can matrix transform the triangle So its ocupting the space in a way where one point is at 0,0 and other vertexes are on x 1 and y axis one. then project. not sure its less convoluted but still. $\endgroup$– joojaaCommented Jan 28, 2023 at 23:07
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