CGAL 4.7 - Estimation of Local Differential Properties of Point-Sampled Surfaces: SvdTraits Concept Reference

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CGAL 4.7 - Estimation of Local Differential Properties of Point-Sampled Surfaces

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SvdTraits Concept Reference
Concepts

## Definition

The concept `SvdTraits` describes the set of requirements to be fulfilled by any class used to instantiate the third template parameter of the class `CGAL::Monge_via_jet_fitting<DataKernel,LocalKernel,SvdTraits>`.

It describes the linear algebra types and algorithms needed by the class `CGAL::Monge_via_jet_fitting`.

Requirements

The scalar type, `SvdTraits::FT`, must be the same as that of the `LocalKernel` concept : `LocalKernel::FT`.

Has Models:
  `CGAL::Eigen_svd`

See Also
  `LocalKernel`

## Concepts

concept | Matrix
| Concept of matrix type used by the concept SvdTraits. More...
concept | Vector
| Concept of vector type used by the concept SvdTraits. More...

## Types

typedef unspecified_type | FT
| The scalar type.
typedef unspecified_type | Vector
| The vector type, model of the concept `SvdTraits::Vector`.
typedef unspecified_type | matrix
| The matrix type, model of the concept `SvdTraits::Matrix`.

## Operations

The concept `SvdTraits` has a linear solver using a singular value decomposition algorithm.
FT | solve (const Matrix &M, Vector &B)
| Solves the system \( MX=B\) (in the least square sense if \( M\) is not square) using a singular value decomposition and returns the condition number of \( M\). More...

## Member Function Documentation

FT SvdTraits::solve | ( | const Matrix & | M,
|  | Vector & | B
| ) |  |

Solves the system \( MX=B\) (in the least square sense if \( M\) is not square) using a singular value decomposition and returns the condition number of \( M\).

The solution is stored in \( B\).