Compute principal curvatures from a base class providing fundamental forms. More...
#include <weingarten.h>
Inheritance diagram for Ponca::WeingartenCurvatureEstimatorDer< DataPoint, _NFilter, DiffType, T >: Collaboration diagram for Ponca::WeingartenCurvatureEstimatorDer< DataPoint, _NFilter, DiffType, T >:Public Types | |
| using | Scalar = typename DataPoint::Scalar |
| Alias to scalar type. | |
| using | VectorType = typename Base::VectorType |
| Alias to vector type. | |
| using | NeighborFilter = typename Base::NeighborFilter |
| Alias to the filter applied on the neighbors. | |
| using | ScalarArray = typename Base::ScalarArray |
| Alias to scalar derivatives array. | |
| using | VectorArray = typename Base::VectorArray |
| Alias to vector derivatives array. | |
| Public Types inherited from Ponca::internal::WeingartenCurvatureEstimatorBase< DataPoint, _NFilter, T > | |
| using | Scalar = typename DataPoint::Scalar |
| Alias to scalar type. | |
| using | VectorType = typename Base::VectorType |
| Alias to vector type. | |
| using | NeighborFilter = typename Base::NeighborFilter |
| Alias to the filter applied on the neighbors. | |
| using | Matrix2 = Eigen::Matrix< Scalar, 2, 2 > |
Public Member Functions | |
| WeingartenCurvatureEstimatorDer< DataPoint, _NFilter, DiffType, T > & | meanCurvature () |
| Explicit conversion to WeingartenCurvatureEstimatorDer , to access methods potentially hidden by heritage. | |
| const WeingartenCurvatureEstimatorDer< DataPoint, _NFilter, DiffType, T > & | meanCurvature () const |
| Explicit conversion to WeingartenCurvatureEstimatorDer , to access methods potentially hidden by heritage. | |
| WeingartenCurvatureEstimatorDer< DataPoint, _NFilter, DiffType, T > & | curvatureTensor () |
| Explicit conversion to WeingartenCurvatureEstimatorDer , to access methods potentially hidden by heritage. | |
| const WeingartenCurvatureEstimatorDer< DataPoint, _NFilter, DiffType, T > & | curvatureTensor () const |
| Explicit conversion to WeingartenCurvatureEstimatorDer , to access methods potentially hidden by heritage. | |
| Public Member Functions inherited from Ponca::internal::WeingartenCurvatureEstimatorBase< DataPoint, _NFilter, T > | |
| FIT_RESULT | finalize () |
| Finalize the procedure. | |
| Scalar | kmin () const |
| Returns an estimate of the minimal principal curvature value. | |
| Scalar | kmax () const |
| Returns an estimate of the maximal principal curvature value. | |
| VectorType | kminDirection () const |
| Returns an estimate of the minimal principal curvature direction. | |
| VectorType | kmaxDirection () const |
| Returns an estimate of the maximal principal curvature direction. | |
| Scalar | kMean () const |
| Returns an estimate of the mean curvature. | |
| Scalar | GaussianCurvature () const |
| Returns an estimate of the Gaussian curvature. | |
Protected Types | |
| using | Base = T |
| Base class of the procedure. | |
| Protected Types inherited from Ponca::internal::WeingartenCurvatureEstimatorBase< DataPoint, _NFilter, T > | |
| using | Base = T |
| Base class of the procedure. | |
Detailed Description
struct Ponca::WeingartenCurvatureEstimatorDer< DataPoint, _NFilter, DiffType, T >
Compute principal curvatures from a base class providing fundamental forms.
Since the weingarten map is self-adjoint, a basis exists consisting of the eigenvectors of W. The eigenvectors, combined with their eigenvalues, define the principal curvature directions and values. The Gaussian and mean curvatures can be retrieved as \(\text{K} = \text{det}(\text{W})\) and \(\text{H} = \frac{1}{2}\text{trace}(\text{W})\), respectively.
- Warning
- To map from the tangent plane to ambiant space, we assume that the patch is represented as (h(u,v), u, v) because CovariancePlaneFitImpl::worldToTangentPlane() wraps up coordinates in this order (height, u and v).
This primitive requires:
ProvidesTangentPlaneBasis, PROVIDES_WEINGARTEN_MAP, ProvidesPrincipalCurvatures
Definition at line 223 of file weingarten.h.
Member Typedef Documentation
◆ Base
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protected |
Base class of the procedure.
Definition at line 225 of file weingarten.h.
◆ NeighborFilter
| using Ponca::WeingartenCurvatureEstimatorDer< DataPoint, _NFilter, DiffType, T >::NeighborFilter = typename Base::NeighborFilter |
Alias to the filter applied on the neighbors.
Definition at line 225 of file weingarten.h.
◆ Scalar
| using Ponca::WeingartenCurvatureEstimatorDer< DataPoint, _NFilter, DiffType, T >::Scalar = typename DataPoint::Scalar |
Alias to scalar type.
Definition at line 225 of file weingarten.h.
◆ ScalarArray
| using Ponca::WeingartenCurvatureEstimatorDer< DataPoint, _NFilter, DiffType, T >::ScalarArray = typename Base::ScalarArray |
Alias to scalar derivatives array.
Definition at line 226 of file weingarten.h.
◆ VectorArray
| using Ponca::WeingartenCurvatureEstimatorDer< DataPoint, _NFilter, DiffType, T >::VectorArray = typename Base::VectorArray |
Alias to vector derivatives array.
Definition at line 226 of file weingarten.h.
◆ VectorType
| using Ponca::WeingartenCurvatureEstimatorDer< DataPoint, _NFilter, DiffType, T >::VectorType = typename Base::VectorType |
Alias to vector type.
Definition at line 225 of file weingarten.h.
Member Function Documentation
◆ curvatureTensor() [1/2]
|
inline |
Explicit conversion to WeingartenCurvatureEstimatorDer , to access methods potentially hidden by heritage.
Definition at line 228 of file weingarten.h.
◆ curvatureTensor() [2/2]
|
inline |
Explicit conversion to WeingartenCurvatureEstimatorDer , to access methods potentially hidden by heritage.
Definition at line 228 of file weingarten.h.
◆ meanCurvature() [1/2]
|
inline |
Explicit conversion to WeingartenCurvatureEstimatorDer , to access methods potentially hidden by heritage.
Definition at line 227 of file weingarten.h.
◆ meanCurvature() [2/2]
|
inline |
Explicit conversion to WeingartenCurvatureEstimatorDer , to access methods potentially hidden by heritage.
Definition at line 227 of file weingarten.h.
