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API > API/Plugins > API/Plugins/DynamicMesh

Classes

  Type Name Description
Public class CotanTriangleData The per-triangle data used in constructing the cotangent weighted laplacian.  
Public class FTriangleLinearization Used linearize the TriIds in a mesh as a single array and allow mapping from array offset to mesh TriId.  
Public class FVertexLinearization Used to linearize the VtxIds in a mesh as a single array and allow mapping from array offset to mesh VtxId.  
Public class IConstrainedLaplacianMeshSolver Extension of IConstrainedMeshSolver that supports manipulating the underlying Laplacian vectors used in Laplacian-based Deformation Solvers.  
Public class IConstrainedMeshSolver Interface to a index-based deformation solver for a 3D mesh vertex set that supports weighted point constraints.  
Public class IConstrainedMeshUVSolver Interface to a index-based UV solver for a 3D triangle mesh that supports weighted point constraints.  
Public class MeanValueTriangleData The per-triangle data used in constructing the mean-value weighted laplacian.  

Enums

  Type Name Description
Public enum ELaplacianWeightScheme Types of Laplacian weights.  
Public enum UE::MeshDeformation::ECotangentAreaMode    
Public enum UE::MeshDeformation::ECotangentWeightMode    

Functions

  Type Name Description
Public function bool  
Public function FString Utility to map the enum names for debuging etc.
Public function  

PREDECLARE_GEOMETRY ( FDynamicMesh3
)

  
Public function int32

UE::MeshDeformation::ComputeNumMatrixElements ( const MeshT& DynamicMesh,
const TArray< int32 >& ToVtxId
)

 Utility to compute the number of elements in the sparse laplacian matrix.
Public function void

UE::MeshDeformation::ComputeSmoothing_BiHarmonic ( const ELaplacianWeightScheme WeightingScheme,
const FDynamicMesh3& OriginalMesh,
const double Speed,
const double Weight,
const int32 NumIterations,
TArray< FVector3d >& PositionArray
)

 Note: for discussion of implicit / explicit integration of diffusion and biharmonic equations see "Implicit Fairing of Irregular Meshes using Diffusion and Curvature Flow" - M Desbrun 99.
Public function void

UE::MeshDeformation::ComputeSmoothing_Diffusion ( const ELaplacianWeightScheme WeightScheme,
const FDynamicMesh3& OriginalMesh,
bool bForwardEuler,
const double Speed,
double Weight,
const int32 NumIterations,
TArray< FVector3d >& PositionArray
)

 This is equivalent to forward or backward Euler time steps of the diffusion equation
Public function void

UE::MeshDeformation::ComputeSmoothing_Forward ( bool bUniformWeightScheme,
bool bSmoothBoundary,
const FDynamicMesh3& OriginalMesh,
TFunctionRef< double(int VID, bool bBoundary)> GetSmoothingAlpha,
const int32 NumIterations,
TArray< FVector3d >& PositionArray
)

 Simple iterative smoothing with an optional weight map Each iteration Lerps towards the weighted neighbor centroid by the GetSmoothingAlpha amount
Public function void

UE::MeshDeformation::ComputeSmoothing_ImplicitBiHarmonicPCG ( const ELaplacianWeightScheme WeightScheme,
const FDynamicMesh3& OriginalMesh,
const double Speed,
const double Weight,
const int32 MaxIterations,
TArray< FVector3d >& PositionArray
)

  
Public function TUniquePtr< UE::Solvers::IConstrainedMeshSolver > Solves the linear system for p_vec ( Transpose(L) * L + (0 0 ) ) p_vec = source_vec + ( 0 )
Public function TUniquePtr< UE::Solvers::IConstrainedMeshSolver > Solves the linear system for p_vec ( Transpose(L) * L + (0 0 ) ) p_vec = ( 0 )
Public function void

UE::MeshDeformation::ConstructCotangentLaplacian ( const FDynamicMesh3& DynamicMesh,
const FVertexLinearization& VertexMap,
UE::Solvers::TSparseMatrixAssembler< RealType >& AreaMatrix,
UE::Solvers::TSparseMatrixAssembler< RealType >& LaplacianInterior,
UE::Solvers::TSparseMatrixAssembler< RealType >& LaplacianBoundary
)

 Construct a sparse matrix representation using a cotangent-weighted Laplacian.
Public function void

UE::MeshDeformation::ConstructCotangentLaplacian ( const FDynamicMesh3& DynamicMesh,
const FVertexLinearization& VertexMap,
UE::Solvers::TSparseMatrixAssembler< RealType >& LaplacianInterior,
UE::Solvers::TSparseMatrixAssembler< RealType >& LaplacianBoundary,
const bool bClampWeights
)

 Construct a sparse matrix representation using a pre-multiplied cotangent-weighted Laplacian.
Public function void

UE::MeshDeformation::ConstructEdgeCotanWeightsDataArray ( const FDynamicMesh3& Mesh,
TArray< double >& EdgeWeightsDataArray,
double ClampMin,
double ClampMax
)

  
Public function void Construct sparse Cotangent Laplacian matrix.
Public function void Use intrinsic Delaunay mesh to construct sparse Cotangent Laplacian matrix.
Public function void

UE::MeshDeformation::ConstructIDTCotangentLaplacian ( const FDynamicMesh3& DynamicMesh,
const FVertexLinearization& VertexMap,
UE::Solvers::TSparseMatrixAssembler< RealType >& LaplacianInterior,
UE::Solvers::TSparseMatrixAssembler< RealType >& LaplacianBoundary,
const bool bClampWeights
)

 Construct a sparse matrix representation using a pre-multiplied cotangent-weighted Laplacian, using an intrinsic Delaunay mesh internally NB: there is no reason to expect this to be a symmetric matrix.
Public function void

UE::MeshDeformation::ConstructMeanValueWeightLaplacian ( const FDynamicMesh3& DynamicMesh,
const FVertexLinearization& VertexMap,
UE::Solvers::TSparseMatrixAssembler< RealType >& LaplacianInterior,
UE::Solvers::TSparseMatrixAssembler< RealType >& LaplacianBoundary
)

 Construct a sparse matrix representation using a meanvalue-weighted Laplacian.
Public function TUniquePtr< UE::Solvers::IConstrainedMeshUVSolver > Create solver for the Least Squares Conformal UV Parameterization for this mesh.
Public function TUniquePtr< UE::Solvers::IConstrainedLaplacianMeshSolver > Construct a Mesh Deformer object for the given mesh that uses Biharmonic Laplacian Mesh Deformation to solve for the deformed vertex positions.
Public function TUniquePtr< UE::Solvers::IConstrainedMeshUVSolver >

UE::MeshDeformation::ConstructSpectralConformalParamSolver ( const FDynamicMesh3& DynamicMesh,
bool bPreserveIrregularity
)

 Create solver for the Spectral Conformal UV Parameterization for this mesh.
Public function void

UE::MeshDeformation::ConstructTriangleDataArray ( const FDynamicMesh3& DynamicMesh,
const FTriangleLinearization& TriangleLinearization,
TArray< TriangleDataType >& TriangleDataArray
)

 Return and array in triangle order that holds the per-triangle derived data needed
Public function void

UE::MeshDeformation::ConstructUmbrellaLaplacian ( const FDynamicMesh3& DynamicMesh,
const FVertexLinearization& VertexMap,
UE::Solvers::TSparseMatrixAssembler< RealType >& LaplacianInterior,
UE::Solvers::TSparseMatrixAssembler< RealType >& LaplacianBoundary
)

 Construct a sparse matrix representation of an umbrella weighted Laplacian.
Public function TUniquePtr< UE::Solvers::IConstrainedMeshSolver > Class IVertexEdgeGraph
Public function void

UE::MeshDeformation::ConstructUniformLaplacian ( const MeshType& Mesh,
const FVertexLinearization& VertexMap,
UE::Solvers::TSparseMatrixAssembler< RealType >& LaplacianInterior,
UE::Solvers::TSparseMatrixAssembler< RealType >& LaplacianBoundary
)

 Construct a sparse matrix representation of a uniform weighted Laplacian.
Public function void

UE::MeshDeformation::ConstructValenceWeightedLaplacian ( const FDynamicMesh3& DynamicMesh,
const FVertexLinearization& VertexMap,
UE::Solvers::TSparseMatrixAssembler< RealType >& LaplacianInterior,
UE::Solvers::TSparseMatrixAssembler< RealType >& LaplacianBoundary
)

 Construct a sparse matrix representation of a valence-weighted Laplacian.

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