Moreover, it is important to note that k 1 and k 2 always occur exactly p/2 radians apart. SSE aligned placeholder for the XYZ centroid of a surface patch. The curvatures k 1 and k 2 are called the principal curvatures of the surface at the given point. The principal curvatures of the surface at a point is defined as the maximal and the minimal curvature among all normal sections. SSE aligned eigenvectors placeholder for a covariance matrix.Ī pointer to the input dataset that contains the point normals of the XYZ dataset. That is, principal curvatures have no intrinsic sign. Placeholder for the 3x3 covariance matrix at each surface patch.Įigenvalues placeholder for a covariance matrix. Principal curvatures depend on a continuous choice of unit normal field changing the sign of the unit normal field changes the signs of the principal curvatures.
Principal curvatures postview Patch#
Perform Principal Components Analysis ( PCA) on the point normals of a surface patch in the tangent plane of the given point normal, and return the principal curvature (eigenvector of the max eigenvalue), along with both the max (pc1) and min (pc2) eigenvalues.Įstimate the principal curvature (eigenvector of the max eigenvalue), along with both the max (pc1) and min (pc2) eigenvalues for all points given in using the surface in setSearchSurface () and the spatial locator in setSearchMethod () ComputePointPrincipalCurvatures (const pcl::PointCloud &normals, int p_idx, const std::vector & indices, float &pcx, float &pcy, float &pcz, float &pc1, float &pc2)
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