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Tessellation Class Reference

Encapsulates a specific tessellation pattern of a Parameterization. More...

`#include <tessellation.h>`

## Classes
class | Options
| Options configure a Tessellation to specify the nature of both its results and the structure of the coordinate and facet index arrays that its methods will populate. More...

## Public Member Functions
Construction and initialization
Constructors require a Parameterization of a face, a set of one or more tessellation rates, and a standard set of options. As with other classes, constructors can produce invalid instances if given obviously invalid arguments, e.g. an invalid Parameterization, non-positive tessellation rate, etc.
| Tessellation (Parameterization const &p, int uniformRate, Options const &options=Options())
| Simple constructor providing a single uniform tessellation rate.
| Tessellation (Parameterization const &p, int numRates, int const rates[], Options const &options=Options())
| General constructor providing multiple tessellation rates for a non-uniform tessellation.
bool | IsValid () const
| Return true if correctly initialized.
| Tessellation ()=delete
| Default construction is unavailable.
| Tessellation (Tessellation const &)=delete
Tessellation & | operator= (Tessellation const &)=delete
| ~Tessellation ()
Simple queries
Simple queries of a valid Tessellation.
Parameterization | GetParameterization () const
| Return the Parameterization.
int | GetFaceSize () const
| Return the size of the face.
int | GetRates (int rates[]) const
| Retrieve the rates assigned.
bool | IsUniform () const
| Return if the pattern is uniform.
Methods to inspect and gather coordinates
Methods to determine the number of sample points involved in the tessellation pattern and their content are available for the entire pattern, or for parts of the boundary or interior of the pattern. The methods that assign the coordinate arrays also return the number of coordinates assigned, so the methods that just return those sizes are not necessary if arrays for the resulting coords have already been sufficiently allocated.
int | GetNumCoords () const
| Return the number of coordinates in the entire pattern.
int | GetCoordStride () const
| Return the number of elements between each coordinate.
int | GetNumBoundaryCoords () const
| Return the number of boundary coordinates.
int | GetNumInteriorCoords () const
| Return the number of interior coordinates.
int | GetNumEdgeCoords (int edge) const
| Return the number of coordinates within a given edge (excluding those at its end vertices)
template<typename REAL>
int | GetCoords (REAL coordTuples[]) const
| Retrieve the coordinates for the entire pattern.
template<typename REAL>
int | GetBoundaryCoords (REAL coordTuples[]) const
| Retrieve the coordinates for the boundary.
template<typename REAL>
int | GetInteriorCoords (REAL coordTuples[]) const
| Retrieve the coordinates for the boundary.
template<typename REAL>
int | GetVertexCoord (int vertex, REAL coordTuples[]) const
| Retrieve the coordinate for a given vertex of the face.
template<typename REAL>
int | GetEdgeCoords (int edge, REAL coordTuples[]) const
| Retrieve the coordinates for a given edge of the face (excluding those at its end vertices)
Methods to inspect and gather facets
Methods to inspect the number and values of facets. Facets are simply integer tuples of size 3 or 4 which contain the indices of the coordinates generated by the Tessellation. When using facets of size 4, triangles may sometimes be generated and are indicated by the use of an invalid/negative index in the fourth position. Unlike the coordinates – which can be separated into those on the boundary or interior of the pattern – the facets are not distinguished in any way.
int | GetNumFacets () const
| Return the number of facets in the entire pattern.
int | GetFacetSize () const
| Return the number of indices assigned to each facet.
int | GetFacetStride () const
| Return the number of elements between each facet.
int | GetFacets (int facetTuples[]) const
| Retrieve the facet indices for the entire pattern.

## Methods to modify the coordinate indices of facets
Methods to modify the coordinate indices of facets rely on the coordinate indices being identifiable as those of boundary or interior coordinates. The first N coordinates generated by Tessellation will be on the boundary, while the remaining M will be for the interior. The boundary and interior coordinate indices can be transformed collectively or separately by offsets or by explicit reassignment. Both the boundary and interior indices must be modified at the same time while the Tessellation can distinguish them, i.e. a boundary coord is identified by index < N and an interior coord by index >= N.
void | TransformFacetCoordIndices (int facetTuples[], int commonOffset)
| Apply a common offset to all facet coordinate indices.
void | TransformFacetCoordIndices (int facetTuples[], int const boundaryIndices[], int interiorOffset)
| Reassign indices of boundary coordinates while offseting those of interior coordinates.
void | TransformFacetCoordIndices (int facetTuples[], int const boundaryIndices[], int const interiorIndices[])
| Reassign all facet coordinate indices.

## Detailed Description

Encapsulates a specific tessellation pattern of a Parameterization.

Tessellation is a simple class that encapsulates a specified tessellation pattern for a given Parameterization. Tessellation parameters are given on construction and are fixed for its lifetime.

Methods allow inspection of the pattern in terms of the 2D coordinates of the points comprising the pattern and the faces that connect them. The 2D coordinates are referred to both in the documentation and the interface as "coords" while the faces connecting them are referred to as "facets" (to distinguish from the faces of the mesh, to which a Tessellation is applied).

Definition at line 51 of file tessellation.h.

## Constructor & Destructor Documentation

## ◆ Tessellation() [1/4]

Tessellation | ( | Parameterization const & | p,
|  | int | uniformRate,
|  | Options const & | options = Options() )

Simple constructor providing a single uniform tessellation rate.

Parameters

  p | Parameterization of a face to be tessellated
  uniformRate | Integer tessellation rate (non-zero)
  options | Options describing tessellation results

## ◆ Tessellation() [2/4]

Tessellation | ( | Parameterization const & | p,
|  | int | numRates,
|  | int const | rates[],
|  | Options const & | options = Options() )

General constructor providing multiple tessellation rates for a non-uniform tessellation.

Parameters

  p | Parameterization of a face to be tessellated
  numRates | The number of tessellation rates provided, which usually includes one per edge of the face (more details below)
  rates | The array of non-zero integer tessellation rates
  options | Options describing tessellation results

For a Parameterization of a face with N edges, the acceptable number of tessellation rates can vary. Aside from N "outer" tessellation rates (one for each edge), all faces can have at least one "inner" rate additionally specified while quads can have two inner rates.

If inner rates are not specified in addition to the N outer rates, they will be inferred (so it is not necessary to initialize quads distinctly from other faces). Similarly – though less useful – the smaller set of inner rates can be specified, leaving all outer rates to be inferred.

For a face with N edges, the full set of acceptable rates and their interpretations is as follows:

     1  - single explicit inner rate (uniform)
     2  - (quads only) two explicit inner rates, outer rates inferred
     N  - explicit edge rates, inner rates inferred
    N+1 - explicit edge rates, explicit inner rate
    N+2 - (quads only) explicit edge rates, two explicit inner rates

When associating rates with edges, note that rates[0] corresponds to the edge between vertices 0 and 1. This is consistent with use elsewhere in OpenSubdiv – where edge i lies between vertices i and i+1 – but differs from the conventions used with many hardware tessellation interfaces.

## ◆ Tessellation() [3/4]

Tessellation | ( |  | ) |
| delete

Default construction is unavailable.

## ◆ Tessellation() [4/4]

Tessellation | ( | Tessellation const & |  | ) |
| delete

## ◆ ~Tessellation()

~Tessellation | ( |  | ) |

## Member Function Documentation

## ◆ GetBoundaryCoords()

template<typename REAL>

int GetBoundaryCoords | ( | REAL | coordTuples[] | ) | const

Retrieve the coordinates for the boundary.

## ◆ GetCoords()

template<typename REAL>

int GetCoords | ( | REAL | coordTuples[] | ) | const
| inline

Retrieve the coordinates for the entire pattern.

Definition at line 383 of file tessellation.h.

## ◆ GetCoordStride()

int GetCoordStride | ( |  | ) | const
| inline

Return the number of elements between each coordinate.

Definition at line 215 of file tessellation.h.

## ◆ GetEdgeCoords()

template<typename REAL>

int GetEdgeCoords | ( | int | edge,
|  | REAL | coordTuples[] ) const

Retrieve the coordinates for a given edge of the face (excluding those at its end vertices)

## ◆ GetFaceSize()

int GetFaceSize | ( |  | ) | const
| inline

Return the size of the face.

Definition at line 189 of file tessellation.h.

## ◆ GetFacets()

int GetFacets | ( | int | facetTuples[] | ) | const

Retrieve the facet indices for the entire pattern.

## ◆ GetFacetSize()

int GetFacetSize | ( |  | ) | const
| inline

Return the number of indices assigned to each facet.

Definition at line 269 of file tessellation.h.

## ◆ GetFacetStride()

int GetFacetStride | ( |  | ) | const
| inline

Return the number of elements between each facet.

Definition at line 272 of file tessellation.h.

## ◆ GetInteriorCoords()

template<typename REAL>

int GetInteriorCoords | ( | REAL | coordTuples[] | ) | const

Retrieve the coordinates for the boundary.

## ◆ GetNumBoundaryCoords()

int GetNumBoundaryCoords | ( |  | ) | const
| inline

Return the number of boundary coordinates.

Definition at line 218 of file tessellation.h.

## ◆ GetNumCoords()

int GetNumCoords | ( |  | ) | const
| inline

Return the number of coordinates in the entire pattern.

Definition at line 212 of file tessellation.h.

## ◆ GetNumEdgeCoords()

int GetNumEdgeCoords | ( | int | edge | ) | const
| inline

Return the number of coordinates within a given edge (excluding those at its end vertices)

Definition at line 225 of file tessellation.h.

## ◆ GetNumFacets()

int GetNumFacets | ( |  | ) | const
| inline

Return the number of facets in the entire pattern.

Definition at line 266 of file tessellation.h.

## ◆ GetNumInteriorCoords()

int GetNumInteriorCoords | ( |  | ) | const
| inline

Return the number of interior coordinates.

Definition at line 221 of file tessellation.h.

## ◆ GetParameterization()

Parameterization GetParameterization | ( |  | ) | const
| inline

Return the Parameterization.

Definition at line 186 of file tessellation.h.

## ◆ GetRates()

int GetRates | ( | int | rates[] | ) | const

Retrieve the rates assigned.

## ◆ GetVertexCoord()

template<typename REAL>

int GetVertexCoord | ( | int | vertex,
|  | REAL | coordTuples[] ) const
| inline

Retrieve the coordinate for a given vertex of the face.

Definition at line 376 of file tessellation.h.

## ◆ IsUniform()

bool IsUniform | ( |  | ) | const
| inline

Return if the pattern is uniform.

Definition at line 195 of file tessellation.h.

## ◆ IsValid()

bool IsValid | ( |  | ) | const
| inline

Return true if correctly initialized.

Definition at line 169 of file tessellation.h.

## ◆ operator=()

Tessellation & operator= | ( | Tessellation const & |  | ) |
| delete

## ◆ TransformFacetCoordIndices() [1/3]

void TransformFacetCoordIndices | ( | int | facetTuples[],
|  | int | commonOffset )

Apply a common offset to all facet coordinate indices.

## ◆ TransformFacetCoordIndices() [2/3]

void TransformFacetCoordIndices | ( | int | facetTuples[],
|  | int const | boundaryIndices[],
|  | int const | interiorIndices[] )

Reassign all facet coordinate indices.

## ◆ TransformFacetCoordIndices() [3/3]

void TransformFacetCoordIndices | ( | int | facetTuples[],
|  | int const | boundaryIndices[],
|  | int | interiorOffset )

Reassign indices of boundary coordinates while offseting those of interior coordinates.

The documentation for this class was generated from the following file:

- opensubdiv/bfr/tessellation.h