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openvdb::OPENVDB_VERSION_NAME::math::ScaleMap Class Reference

A specialized Affine transform that scales along the principal axis the scaling need not be uniform in the three-directions. More...

#include <Maps.h>

+ Inheritance diagram for openvdb::OPENVDB_VERSION_NAME::math::ScaleMap:

Public Types

using Ptr = SharedPtr< ScaleMap >
 
using ConstPtr = SharedPtr< const ScaleMap >
 
- Public Types inherited from openvdb::OPENVDB_VERSION_NAME::math::MapBase
using Ptr = SharedPtr< MapBase >
 
using ConstPtr = SharedPtr< const MapBase >
 
using MapFactory ) = Ptr(*)(
 

Public Member Functions

 ScaleMap ()
 
 ScaleMap (const Vec3d &scale)
 
 ScaleMap (const ScaleMap &other)
 
 ~ScaleMap () override=default
 
MapBase::Ptr copy () const override
 Return a MapBase::Ptr to a deep copy of this map. More...
 
MapBase::Ptr inverseMap () const override
 Return a new map representing the inverse of this map. More...
 
Name type () const override
 Return the name of this map's concrete type (e.g., "AffineMap"). More...
 
bool isLinear () const override
 Return true (a ScaleMap is always linear). More...
 
bool hasUniformScale () const override
 Return true if the values have the same magitude (eg. -1, 1, -1 would be a rotation). More...
 
Vec3d applyMap (const Vec3d &in) const override
 Return the image of in under the map. More...
 
Vec3d applyInverseMap (const Vec3d &in) const override
 Return the pre-image of in under the map. More...
 
Vec3d applyJacobian (const Vec3d &in, const Vec3d &) const override
 Return the Jacobian of the map applied to in. More...
 
Vec3d applyJacobian (const Vec3d &in) const override
 Return the Jacobian of the map applied to in. More...
 
Vec3d applyInverseJacobian (const Vec3d &in, const Vec3d &) const override
 Return the Inverse Jacobian of the map applied to in (i.e. inverse map with out translation) More...
 
Vec3d applyInverseJacobian (const Vec3d &in) const override
 Return the Inverse Jacobian of the map applied to in (i.e. inverse map with out translation) More...
 
Vec3d applyJT (const Vec3d &in, const Vec3d &) const override
 Return the Jacobian Transpose of the map applied to in. More...
 
Vec3d applyJT (const Vec3d &in) const override
 Return the Jacobian Transpose of the map applied to in. More...
 
Vec3d applyIJT (const Vec3d &in, const Vec3d &) const override
 Return the transpose of the inverse Jacobian of the map applied to in. More...
 
Vec3d applyIJT (const Vec3d &in) const override
 Return the transpose of the inverse Jacobian of the map applied to in. More...
 
Mat3d applyIJC (const Mat3d &in) const override
 Return the Jacobian Curvature: zero for a linear map. More...
 
Mat3d applyIJC (const Mat3d &in, const Vec3d &, const Vec3d &) const override
 
double determinant (const Vec3d &) const override
 Return the product of the scale values, ignores argument. More...
 
double determinant () const override
 Return the product of the scale values. More...
 
const Vec3dgetScale () const
 Return the scale values that define the map. More...
 
const Vec3dgetInvScaleSqr () const
 Return the square of the scale. Used to optimize some finite difference calculations. More...
 
const Vec3dgetInvTwiceScale () const
 Return 1/(2 scale). Used to optimize some finite difference calculations. More...
 
const Vec3dgetInvScale () const
 Return 1/(scale) More...
 
void read (std::istream &is) override
 read serialization More...
 
void write (std::ostream &os) const override
 write serialization More...
 
std::string str () const override
 string serialization, useful for debuging More...
 
bool isEqual (const MapBase &other) const override
 Return true if this map is equal to the given map. More...
 
bool operator== (const ScaleMap &other) const
 
bool operator!= (const ScaleMap &other) const
 
AffineMap::Ptr getAffineMap () const override
 Return a AffineMap equivalent to this map. More...
 
Vec3d voxelSize () const override
 Return the lengths of the images of the segments (0,0,0) − 1,0,0), (0,0,0) − (0,1,0) and (0,0,0) − (0,0,1). More...
 
Vec3d voxelSize (const Vec3d &) const override
 Return the lengths of the images of the segments (0,0,0) − 1,0,0), (0,0,0) − (0,1,0) and (0,0,0) − (0,0,1). More...
 
MapBase::Ptr preRotate (double radians, Axis axis) const override
 Return a MapBase::Ptr to a new map that is the result of prepending the appropraite operation to the existing map. More...
 
MapBase::Ptr preTranslate (const Vec3d &) const override
 Return a MapBase::Ptr to a new map that is the result of prepending the appropraite operation to the existing map. More...
 
MapBase::Ptr preScale (const Vec3d &) const override
 Return a MapBase::Ptr to a new map that is the result of prepending the appropraite operation to the existing map. More...
 
MapBase::Ptr preShear (double shear, Axis axis0, Axis axis1) const override
 Return a MapBase::Ptr to a new map that is the result of prepending the appropraite operation to the existing map. More...
 
MapBase::Ptr postRotate (double radians, Axis axis) const override
 Return a MapBase::Ptr to a new map that is the result of prepending the appropraite operation to the existing map. More...
 
MapBase::Ptr postTranslate (const Vec3d &) const override
 Return a MapBase::Ptr to a new map that is the result of prepending the appropraite operation to the existing map. More...
 
MapBase::Ptr postScale (const Vec3d &) const override
 Return a MapBase::Ptr to a new map that is the result of prepending the appropraite operation to the existing map. More...
 
MapBase::Ptr postShear (double shear, Axis axis0, Axis axis1) const override
 Return a MapBase::Ptr to a new map that is the result of prepending the appropraite operation to the existing map. More...
 
- Public Member Functions inherited from openvdb::OPENVDB_VERSION_NAME::math::MapBase
 MapBase (const MapBase &)=default
 
virtual ~MapBase ()=default
 
template<typename MapT >
bool isType () const
 Return true if this map is of concrete type MapT (e.g., AffineMap). More...
 

Static Public Member Functions

static MapBase::Ptr create ()
 Return a MapBase::Ptr to a new ScaleMap. More...
 
static bool isRegistered ()
 
static void registerMap ()
 
static Name mapType ()
 

Additional Inherited Members

- Protected Member Functions inherited from openvdb::OPENVDB_VERSION_NAME::math::MapBase
 MapBase ()
 
- Static Protected Member Functions inherited from openvdb::OPENVDB_VERSION_NAME::math::MapBase
template<typename MapT >
static bool isEqualBase (const MapT &self, const MapBase &other)
 

Detailed Description

A specialized Affine transform that scales along the principal axis the scaling need not be uniform in the three-directions.

Definition at line 685 of file Maps.h.

Member Typedef Documentation

Constructor & Destructor Documentation

openvdb::OPENVDB_VERSION_NAME::math::ScaleMap::ScaleMap ( )
inline

Definition at line 691 of file Maps.h.

openvdb::OPENVDB_VERSION_NAME::math::ScaleMap::ScaleMap ( const Vec3d scale)
inline

Definition at line 695 of file Maps.h.

openvdb::OPENVDB_VERSION_NAME::math::ScaleMap::ScaleMap ( const ScaleMap other)
inline

Definition at line 709 of file Maps.h.

openvdb::OPENVDB_VERSION_NAME::math::ScaleMap::~ScaleMap ( )
overridedefault

Member Function Documentation

Mat3d openvdb::OPENVDB_VERSION_NAME::math::ScaleMap::applyIJC ( const Mat3d in) const
inlineoverridevirtual

Return the Jacobian Curvature: zero for a linear map.

Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.

Definition at line 797 of file Maps.h.

Mat3d openvdb::OPENVDB_VERSION_NAME::math::ScaleMap::applyIJC ( const Mat3d in,
const Vec3d ,
const Vec3d  
) const
inlineoverridevirtual

Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.

Definition at line 808 of file Maps.h.

Vec3d openvdb::OPENVDB_VERSION_NAME::math::ScaleMap::applyIJT ( const Vec3d in,
const Vec3d  
) const
inlineoverridevirtual

Return the transpose of the inverse Jacobian of the map applied to in.

Ignores second argument

Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.

Definition at line 793 of file Maps.h.

Vec3d openvdb::OPENVDB_VERSION_NAME::math::ScaleMap::applyIJT ( const Vec3d in) const
inlineoverridevirtual

Return the transpose of the inverse Jacobian of the map applied to in.

Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.

Definition at line 795 of file Maps.h.

Vec3d openvdb::OPENVDB_VERSION_NAME::math::ScaleMap::applyInverseJacobian ( const Vec3d in,
const Vec3d  
) const
inlineoverridevirtual

Return the Inverse Jacobian of the map applied to in (i.e. inverse map with out translation)

Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.

Definition at line 778 of file Maps.h.

Vec3d openvdb::OPENVDB_VERSION_NAME::math::ScaleMap::applyInverseJacobian ( const Vec3d in) const
inlineoverridevirtual

Return the Inverse Jacobian of the map applied to in (i.e. inverse map with out translation)

Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.

Definition at line 783 of file Maps.h.

Vec3d openvdb::OPENVDB_VERSION_NAME::math::ScaleMap::applyInverseMap ( const Vec3d in) const
inlineoverridevirtual

Return the pre-image of in under the map.

Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.

Definition at line 764 of file Maps.h.

Vec3d openvdb::OPENVDB_VERSION_NAME::math::ScaleMap::applyJacobian ( const Vec3d in,
const Vec3d  
) const
inlineoverridevirtual

Return the Jacobian of the map applied to in.

Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.

Definition at line 772 of file Maps.h.

Vec3d openvdb::OPENVDB_VERSION_NAME::math::ScaleMap::applyJacobian ( const Vec3d in) const
inlineoverridevirtual

Return the Jacobian of the map applied to in.

Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.

Definition at line 774 of file Maps.h.

Vec3d openvdb::OPENVDB_VERSION_NAME::math::ScaleMap::applyJT ( const Vec3d in,
const Vec3d  
) const
inlineoverridevirtual

Return the Jacobian Transpose of the map applied to in.

This tranforms range-space gradients to domain-space gradients

Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.

Definition at line 787 of file Maps.h.

Vec3d openvdb::OPENVDB_VERSION_NAME::math::ScaleMap::applyJT ( const Vec3d in) const
inlineoverridevirtual

Return the Jacobian Transpose of the map applied to in.

Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.

Definition at line 789 of file Maps.h.

Vec3d openvdb::OPENVDB_VERSION_NAME::math::ScaleMap::applyMap ( const Vec3d in) const
inlineoverridevirtual

Return the image of in under the map.

Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.

Definition at line 756 of file Maps.h.

MapBase::Ptr openvdb::OPENVDB_VERSION_NAME::math::ScaleMap::copy ( void  ) const
inlineoverridevirtual

Return a MapBase::Ptr to a deep copy of this map.

Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.

Reimplemented in openvdb::OPENVDB_VERSION_NAME::math::UniformScaleMap.

Definition at line 724 of file Maps.h.

static MapBase::Ptr openvdb::OPENVDB_VERSION_NAME::math::ScaleMap::create ( )
inlinestatic

Return a MapBase::Ptr to a new ScaleMap.

Definition at line 722 of file Maps.h.

double openvdb::OPENVDB_VERSION_NAME::math::ScaleMap::determinant ( const Vec3d ) const
inlineoverridevirtual

Return the product of the scale values, ignores argument.

Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.

Definition at line 812 of file Maps.h.

double openvdb::OPENVDB_VERSION_NAME::math::ScaleMap::determinant ( ) const
inlineoverridevirtual

Return the product of the scale values.

Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.

Definition at line 814 of file Maps.h.

AffineMap::Ptr openvdb::OPENVDB_VERSION_NAME::math::ScaleMap::getAffineMap ( ) const
inlineoverridevirtual

Return a AffineMap equivalent to this map.

Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.

Definition at line 875 of file Maps.h.

const Vec3d& openvdb::OPENVDB_VERSION_NAME::math::ScaleMap::getInvScale ( ) const
inline

Return 1/(scale)

Definition at line 826 of file Maps.h.

const Vec3d& openvdb::OPENVDB_VERSION_NAME::math::ScaleMap::getInvScaleSqr ( ) const
inline

Return the square of the scale. Used to optimize some finite difference calculations.

Definition at line 822 of file Maps.h.

const Vec3d& openvdb::OPENVDB_VERSION_NAME::math::ScaleMap::getInvTwiceScale ( ) const
inline

Return 1/(2 scale). Used to optimize some finite difference calculations.

Definition at line 824 of file Maps.h.

const Vec3d& openvdb::OPENVDB_VERSION_NAME::math::ScaleMap::getScale ( ) const
inline

Return the scale values that define the map.

Definition at line 819 of file Maps.h.

bool openvdb::OPENVDB_VERSION_NAME::math::ScaleMap::hasUniformScale ( ) const
inlineoverridevirtual

Return true if the values have the same magitude (eg. -1, 1, -1 would be a rotation).

Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.

Definition at line 746 of file Maps.h.

MapBase::Ptr openvdb::OPENVDB_VERSION_NAME::math::ScaleMap::inverseMap ( ) const
inlineoverridevirtual

Return a new map representing the inverse of this map.

Exceptions
NotImplementedErrorif the map is a NonlinearFrustumMap.
Warning
Houdini 12.5 uses an earlier version of OpenVDB, and maps created with that version lack a virtual table entry for this method. Do not call this method from Houdini 12.5.

Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.

Reimplemented in openvdb::OPENVDB_VERSION_NAME::math::UniformScaleMap.

Definition at line 726 of file Maps.h.

bool openvdb::OPENVDB_VERSION_NAME::math::ScaleMap::isEqual ( const MapBase other) const
inlineoverridevirtual

Return true if this map is equal to the given map.

Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.

Reimplemented in openvdb::OPENVDB_VERSION_NAME::math::UniformScaleMap.

Definition at line 863 of file Maps.h.

bool openvdb::OPENVDB_VERSION_NAME::math::ScaleMap::isLinear ( ) const
inlineoverridevirtual

Return true (a ScaleMap is always linear).

Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.

Definition at line 743 of file Maps.h.

static bool openvdb::OPENVDB_VERSION_NAME::math::ScaleMap::isRegistered ( )
inlinestatic

Definition at line 730 of file Maps.h.

static Name openvdb::OPENVDB_VERSION_NAME::math::ScaleMap::mapType ( )
inlinestatic

Definition at line 740 of file Maps.h.

Definition at line 872 of file Maps.h.

bool openvdb::OPENVDB_VERSION_NAME::math::ScaleMap::operator== ( const ScaleMap other) const
inline

Definition at line 865 of file Maps.h.

MapBase::Ptr openvdb::OPENVDB_VERSION_NAME::math::ScaleMap::postRotate ( double  radians,
Axis  axis 
) const
inlineoverridevirtual

Return a MapBase::Ptr to a new map that is the result of prepending the appropraite operation to the existing map.

Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.

Definition at line 906 of file Maps.h.

MapBase::Ptr openvdb::OPENVDB_VERSION_NAME::math::ScaleMap::postScale ( const Vec3d v) const
inlineoverridevirtual

Return a MapBase::Ptr to a new map that is the result of prepending the appropraite operation to the existing map.

Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.

Definition at line 994 of file Maps.h.

MapBase::Ptr openvdb::OPENVDB_VERSION_NAME::math::ScaleMap::postShear ( double  shear,
Axis  axis0,
Axis  axis1 
) const
inlineoverridevirtual

Return a MapBase::Ptr to a new map that is the result of prepending the appropraite operation to the existing map.

Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.

Definition at line 914 of file Maps.h.

MapBase::Ptr openvdb::OPENVDB_VERSION_NAME::math::ScaleMap::postTranslate ( const Vec3d t) const
inlineoverridevirtual

Return a MapBase::Ptr to a new map that is the result of prepending the appropraite operation to the existing map.

Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.

Reimplemented in openvdb::OPENVDB_VERSION_NAME::math::UniformScaleMap.

Definition at line 1472 of file Maps.h.

MapBase::Ptr openvdb::OPENVDB_VERSION_NAME::math::ScaleMap::preRotate ( double  radians,
Axis  axis 
) const
inlineoverridevirtual

Return a MapBase::Ptr to a new map that is the result of prepending the appropraite operation to the existing map.

Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.

Definition at line 885 of file Maps.h.

MapBase::Ptr openvdb::OPENVDB_VERSION_NAME::math::ScaleMap::preScale ( const Vec3d v) const
inlineoverridevirtual

Return a MapBase::Ptr to a new map that is the result of prepending the appropraite operation to the existing map.

Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.

Definition at line 982 of file Maps.h.

MapBase::Ptr openvdb::OPENVDB_VERSION_NAME::math::ScaleMap::preShear ( double  shear,
Axis  axis0,
Axis  axis1 
) const
inlineoverridevirtual

Return a MapBase::Ptr to a new map that is the result of prepending the appropraite operation to the existing map.

Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.

Definition at line 894 of file Maps.h.

MapBase::Ptr openvdb::OPENVDB_VERSION_NAME::math::ScaleMap::preTranslate ( const Vec3d t) const
inlineoverridevirtual

Return a MapBase::Ptr to a new map that is the result of prepending the appropraite operation to the existing map.

Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.

Reimplemented in openvdb::OPENVDB_VERSION_NAME::math::UniformScaleMap.

Definition at line 1479 of file Maps.h.

void openvdb::OPENVDB_VERSION_NAME::math::ScaleMap::read ( std::istream &  is)
inlineoverridevirtual

read serialization

Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.

Definition at line 837 of file Maps.h.

static void openvdb::OPENVDB_VERSION_NAME::math::ScaleMap::registerMap ( )
inlinestatic

Definition at line 732 of file Maps.h.

std::string openvdb::OPENVDB_VERSION_NAME::math::ScaleMap::str ( ) const
inlineoverridevirtual

string serialization, useful for debuging

Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.

Definition at line 855 of file Maps.h.

Name openvdb::OPENVDB_VERSION_NAME::math::ScaleMap::type ( ) const
inlineoverridevirtual

Return the name of this map's concrete type (e.g., "AffineMap").

Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.

Reimplemented in openvdb::OPENVDB_VERSION_NAME::math::UniformScaleMap.

Definition at line 739 of file Maps.h.

Vec3d openvdb::OPENVDB_VERSION_NAME::math::ScaleMap::voxelSize ( ) const
inlineoverridevirtual

Return the lengths of the images of the segments (0,0,0) − 1,0,0), (0,0,0) − (0,1,0) and (0,0,0) − (0,0,1).

This is equivalent to the absolute values of the scale values

Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.

Definition at line 832 of file Maps.h.

Vec3d openvdb::OPENVDB_VERSION_NAME::math::ScaleMap::voxelSize ( const Vec3d ) const
inlineoverridevirtual

Return the lengths of the images of the segments (0,0,0) − 1,0,0), (0,0,0) − (0,1,0) and (0,0,0) − (0,0,1).

This is equivalent to the absolute values of the scale values

Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.

Definition at line 833 of file Maps.h.

void openvdb::OPENVDB_VERSION_NAME::math::ScaleMap::write ( std::ostream &  os) const
inlineoverridevirtual

write serialization

Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.

Definition at line 846 of file Maps.h.


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