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PatchParam Struct Reference

Patch parameterization. More...

`#include <patchParam.h>`

Inheritance diagram for PatchParam:

## Public Member Functions
void | Set (Index faceid, short u, short v, unsigned short depth, bool nonquad, unsigned short boundary, unsigned short transition, bool regular=false)
| Sets the values of the bit fields.
void | Clear ()
| Resets everything to 0.
Index | GetFaceId () const
| Returns the faceid.
unsigned short | GetU () const
| Returns the log2 value of the u parameter at the first corner of the patch.
unsigned short | GetV () const
| Returns the log2 value of the v parameter at the first corner of the patch.
unsigned short | GetTransition () const
| Returns the transition edge encoding for the patch.
unsigned short | GetBoundary () const
| Returns the boundary edge encoding for the patch.
bool | NonQuadRoot () const
| True if the parent base face is a non-quad.
unsigned short | GetDepth () const
| Returns the level of subdivision of the patch.
float | GetParamFraction () const
| Returns the fraction of unit parametric space covered by this face.
template<typename REAL>
void | Normalize (REAL &u, REAL &v) const
| A (u,v) pair in the fraction of parametric space covered by this face is mapped into a normalized parametric space.
template<typename REAL>
void | NormalizeTriangle (REAL &u, REAL &v) const
template<typename REAL>
void | Unnormalize (REAL &u, REAL &v) const
| A (u,v) pair in a normalized parametric space is mapped back into the fraction of parametric space covered by this face.
template<typename REAL>
void | UnnormalizeTriangle (REAL &u, REAL &v) const
bool | IsTriangleRotated () const
| Returns if a triangular patch is parametrically rotated 180 degrees.
bool | IsRegular () const
| Returns whether the patch is regular.

## Public Attributes
unsigned int | field0:32
unsigned int | field1:32

## Detailed Description

Patch parameterization.

Topological refinement splits coarse mesh faces into refined faces.

This patch parameterzation describes the relationship between one of these refined faces and its corresponding coarse face. It is used both for refined faces that are represented as full limit surface parametric patches as well as for refined faces represented as simple triangles or quads. This parameterization is needed to interpolate primvar data across a refined face.

The U,V and refinement level parameters describe the scale and offset needed to map a location on the patch between levels of refinement. The encoding of these values exploits the quad-tree organization of the faces produced by subdivision. We encode the U,V origin of the patch using two 10-bit integer values and the refinement level as a 4-bit integer. This is sufficient to represent up through 10 levels of refinement.

Special consideration must be given to the refined faces resulting from irregular coarse faces. We adopt a convention similar to Ptex texture mapping and define the parameterization for these faces in terms of the regular faces resulting from the first topological splitting of the irregular coarse face.

When computing the basis functions needed to evaluate the limit surface parametric patch representing a refined face, we also need to know which edges of the patch are interpolated boundaries. These edges are encoded as a boundary bitmask identifying the boundary edges of the patch in sequential order starting from the first vertex of the refined face.

A sparse topological refinement (like feature adaptive refinement) can produce refined faces that are adjacent to faces at the next level of subdivision. We identify these transitional edges with a transition bitmask using the same encoding as the boundary bitmask.

For triangular subdivision schemes we specify the parameterization using a similar method. Alternate triangles at a given level of refinement are parameterized from their opposite corners and encoded as occupying the opposite diagonal of the quad-tree hierarchy. The third barycentric coordinate is dependent on and can be derived from the other two coordinates. This encoding also takes inspiration from the Ptex texture mapping specification.

Bitfield layout :

Field0 | Bits | Content
--- | --- | ---
faceId | 28 | the faceId of the patch
transition | 4 | transition edge mask encoding

Field1 | Bits | Content
--- | --- | ---
level | 4 | the subdivision level of the patch
nonquad | 1 | whether patch is refined from a non-quad face
regular | 1 | whether patch is regular
unused | 1 | unused
boundary | 5 | boundary edge mask encoding
v | 10 | log2 value of u parameter at first patch corner
u | 10 | log2 value of v parameter at first patch corner

Note : the bitfield is not expanded in the struct due to differences in how GPU & CPU compilers pack bit-fields and endian-ness.

    Quad Patch Parameterization

    (0,1)                           (1,1)
      +-------+-------+---------------+
      |       |       |               |
      |   L2  |   L2  |               |
      |0,3    |1,3    |               |
      +-------+-------+       L1      |
      |       |       |               |
      |   L2  |   L2  |               |
      |0,2    |1,2    |1,1            |
      +-------+-------+---------------+
      |               |               |
      |               |               |
      |               |               |
      |       L1      |       L1      |
      |               |               |
      |               |               |
      |0,0            |1,0            |
      +---------------+---------------+
    (0,0)                           (1,0)

    Triangle Patch Parameterization

    (0,1)                           (1,1)  (0,1,0)
      +-------+-------+---------------+       +
      | \     | \     | \             |       | \
      |L2 \   |L2 \   |   \           |       |   \
      |0,3  \ |1,3  \ |     \         |       | L2  \
      +-------+-------+       \       |       +-------+
      | \     | \     |   L1    \     |       | \  L2 | \
      |L2 \   |L2 \   |           \   |       |   \   |   \
      |0,2  \ |1,2  \ |1,1          \ |       | L2  \ | L2  \
      +-------+-------+---------------+       +-------+-------+
      | \             | \             |       | \             | \
      |   \           |   \           |       |   \           |   \
      |     \         |     \         |       |     \    L1   |     \
      |       \       |       \       |       |       \       |       \
      |   L1    \     |   L1    \     |       |   L1    \     |   L1    \
      |           \   |           \   |       |           \   |           \
      |0,0          \ |1,0          \ |       |             \ |             \
      +---------------+---------------+       +---------------+---------------+
    (0,0)                           (1,0)  (0,0,1)                         (1,0,0)

Definition at line 152 of file patchParam.h.

## Member Function Documentation

## ◆ Clear()

void Clear | ( |  | ) |
| inline

Resets everything to 0.

Definition at line 174 of file patchParam.h.

## ◆ GetBoundary()

unsigned short GetBoundary | ( |  | ) | const
| inline

Returns the boundary edge encoding for the patch.

Definition at line 191 of file patchParam.h.

## ◆ GetDepth()

unsigned short GetDepth | ( |  | ) | const
| inline

Returns the level of subdivision of the patch.

Definition at line 197 of file patchParam.h.

## ◆ GetFaceId()

Index GetFaceId | ( |  | ) | const
| inline

Returns the faceid.

Definition at line 177 of file patchParam.h.

## ◆ GetParamFraction()

float GetParamFraction | ( |  | ) | const
| inline

Returns the fraction of unit parametric space covered by this face.

Definition at line 265 of file patchParam.h.

## ◆ GetTransition()

unsigned short GetTransition | ( |  | ) | const
| inline

Returns the transition edge encoding for the patch.

Definition at line 188 of file patchParam.h.

## ◆ GetU()

unsigned short GetU | ( |  | ) | const
| inline

Returns the log2 value of the u parameter at the first corner of the patch.

Definition at line 181 of file patchParam.h.

## ◆ GetV()

unsigned short GetV | ( |  | ) | const
| inline

Returns the log2 value of the v parameter at the first corner of the patch.

Definition at line 185 of file patchParam.h.

## ◆ IsRegular()

bool IsRegular | ( |  | ) | const
| inline

Returns whether the patch is regular.

Definition at line 228 of file patchParam.h.

## ◆ IsTriangleRotated()

bool IsTriangleRotated | ( |  | ) | const
| inline

Returns if a triangular patch is parametrically rotated 180 degrees.

Definition at line 290 of file patchParam.h.

## ◆ NonQuadRoot()

bool NonQuadRoot | ( |  | ) | const
| inline

True if the parent base face is a non-quad.

Definition at line 194 of file patchParam.h.

## ◆ Normalize()

template<typename REAL>

void Normalize | ( | REAL & | u,
|  | REAL & | v ) const
| inline

A (u,v) pair in the fraction of parametric space covered by this face is mapped into a normalized parametric space.

Parameters

  u | u parameter
  v | v parameter

Definition at line 271 of file patchParam.h.

## ◆ NormalizeTriangle()

template<typename REAL>

void NormalizeTriangle | ( | REAL & | u,
|  | REAL & | v ) const
| inline

Definition at line 297 of file patchParam.h.

## ◆ Set()

void Set | ( | Index | faceid,
|  | short | u,
|  | short | v,
|  | unsigned short | depth,
|  | bool | nonquad,
|  | unsigned short | boundary,
|  | unsigned short | transition,
|  | bool | regular = false )
| inline

Sets the values of the bit fields.

Parameters

  faceid | face index
  u | value of the u parameter for the first corner of the face
  v | value of the v parameter for the first corner of the face
  depth | subdivision level of the patch
  nonquad | true if the root face is not a quad
  boundary | 5-bits identifying boundary edges (and verts for tris)
  transition | 4-bits identifying transition edges
  regular | whether the patch is regular

Definition at line 249 of file patchParam.h.

## ◆ Unnormalize()

template<typename REAL>

void Unnormalize | ( | REAL & | u,
|  | REAL & | v ) const
| inline

A (u,v) pair in a normalized parametric space is mapped back into the fraction of parametric space covered by this face.

Parameters

  u | u parameter
  v | v parameter

Definition at line 281 of file patchParam.h.

## ◆ UnnormalizeTriangle()

template<typename REAL>

void UnnormalizeTriangle | ( | REAL & | u,
|  | REAL & | v ) const
| inline

Definition at line 312 of file patchParam.h.

## Member Data Documentation

## ◆ field0

unsigned int field0

Definition at line 230 of file patchParam.h.

## ◆ field1

unsigned int field1

Definition at line 231 of file patchParam.h.

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

- opensubdiv/far/patchParam.h