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Wildmeshing Toolkit
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A quadric error metric (QEM), represented as a 4x4 matrix built from weighted plane samples. Adapted from https://github.com/wildmeshing/topological-offsets/blob/main/components/topological_offsets/wmtk/components/topological_offsets/internal/utils/Quadrics.hpp, stripped down to the plain linear-algebra core: sampling quadrics from a BVH and mesh attributes is left to the caller (see Smooth.cpp) instead of being built into this class. More...
#include <Quadrics.hpp>
Public Member Functions | |
| Quadrics (const double a, const double b, const double c, const double d) | |
| construct a quadric from the plane equation ax+by+cz+d=0 | |
| Quadrics (const Vector3d &p0, const Vector3d &n) | |
| construct a quadric from a point on the plane and its normal | |
| Quadrics (const Eigen::Ref< const Matrix4d > &matrix) | |
| Quadrics (const Quadrics &other)=default | |
| Quadrics & | operator+= (const Quadrics &other) |
| Quadrics | operator+ (const Quadrics &other) const |
| Quadrics | operator* (const double scalar) const |
| Quadrics & | operator*= (const double scalar) |
| Vector3d | solve (const Eigen::Ref< const Vector3d > &p, double svd_threshold=1e-2) const |
| solve for the position minimizing the quadric error, regularized toward p along directions the quadric leaves unconstrained (relevant for quadrics built from a single plane, whose A matrix is singular) | |
| double | squared_distance_to_optimum (const Eigen::Ref< const Vector3d > &p, double svd_threshold=1e-2) const |
Private Attributes | |
| Matrix4d | m_matrix = Matrix4d::Zero() |
A quadric error metric (QEM), represented as a 4x4 matrix built from weighted plane samples. Adapted from https://github.com/wildmeshing/topological-offsets/blob/main/components/topological_offsets/wmtk/components/topological_offsets/internal/utils/Quadrics.hpp, stripped down to the plain linear-algebra core: sampling quadrics from a BVH and mesh attributes is left to the caller (see Smooth.cpp) instead of being built into this class.
| Vector3d wmtk::components::topological_offset::Quadrics::solve | ( | const Eigen::Ref< const Vector3d > & | p, |
| double | svd_threshold = 1e-2 |
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| ) | const |
solve for the position minimizing the quadric error, regularized toward p along directions the quadric leaves unconstrained (relevant for quadrics built from a single plane, whose A matrix is singular)
| svd_threshold | singular values of A below this (relative to the largest) are treated as zero, i.e. left unconstrained/regularized toward p. Controls sensitivity to feature edges: lower means less sensitive (more singular values are kept, pulling the result more strongly toward sharp features); see Eigen::JacobiSVD::setThreshold(). |
1.9.8