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April 13, 2018 11:55
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Computes the circumcircle of a triangle (assuming 2d coordinates), returning its center and its radius
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| import numpy | |
| def norm2(X): | |
| return numpy.sqrt(numpy.sum(X ** 2)) | |
| def get_circumcircle(A, B, C): | |
| U, V = B - A, C - A | |
| U_norm, V_norm = norm2(U), norm2(V) | |
| U /= U_norm | |
| V /= V_norm | |
| UdV = numpy.dot(U, V) | |
| D = numpy.array([U_norm - UdV * V_norm, V_norm - UdV * U_norm]) | |
| D /= 2. * (1. - UdV ** 2) | |
| center = D[0] * U + D[1] * V | |
| return A + center, norm2(center) |
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