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31 lines
946 B
31 lines
946 B
2 years ago
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#include "utils.h"
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namespace {
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inline double cotangent(const Eigen::RowVector3d &a, const Eigen::RowVector3d &b,
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const Eigen::RowVector3d &c) {
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Eigen::RowVector3d ba = a - b;
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Eigen::RowVector3d bc = c - b;
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return (bc.dot(ba)) / ((bc.cross(ba)).norm() + 1.0e-9);
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}
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} // namespace
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namespace da::sha {
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void ComputeBarycentric(const Eigen::MatrixXd &polygon, const Eigen::RowVector3d &p, int rowI,
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Eigen::MatrixXd &weight) {
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int n = polygon.rows();
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assert(weight.cols() == n);
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double w_sum = 0.0;
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for (int i = 0; i < n; ++i) {
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int prev = (i - 1 + n) % n;
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int next = (i + 1) % n;
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double ct = cotangent(p, polygon.row(i), polygon.row(prev)) +
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cotangent(p, polygon.row(i), polygon.row(next));
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weight(rowI, i) = ct / ((p - polygon.row(i)).squaredNorm() + 1.0e-9);
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w_sum += weight(rowI, i);
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}
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weight.row(rowI) /= w_sum;
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}
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} // namespace da::sha
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