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math - Scaling down points into a 2D surface - Stack Overflow

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I have a L shaped object point cloud and i have the corner points of the surface. Is there a way to scale the corner points into the surface. The corner points are ordered and i've tried using vectors to find cross vectors to scale it down, but the result is not good. Is there a well defined mathematical method i might have overlooked? Thank you

Point cloud of a L shaped surface with corner points

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