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A specialized linear transform that performs a unitary maping i.e. rotation and or reflection. More...
#include <Maps.h>
Inheritance diagram for openvdb::OPENVDB_VERSION_NAME::math::UnitaryMap:Public Types | |
| using | Ptr = SharedPtr< UnitaryMap > |
| using | ConstPtr = SharedPtr< const UnitaryMap > |
| 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 | |
| UnitaryMap () | |
| default constructor makes an Idenity. More... | |
| UnitaryMap (const Vec3d &axis, double radians) | |
| UnitaryMap (Axis axis, double radians) | |
| UnitaryMap (const Mat3d &m) | |
| UnitaryMap (const Mat4d &m) | |
| UnitaryMap (const UnitaryMap &other) | |
| UnitaryMap (const UnitaryMap &first, const UnitaryMap &second) | |
| ~UnitaryMap () override=default | |
| MapBase::Ptr | copy () const override |
| Returns a MapBase::Ptr to a deep copy of *this. More... | |
| MapBase::Ptr | inverseMap () const override |
| Return a new map representing the inverse of this map. More... | |
| Name | type () const override |
Return UnitaryMap. More... | |
| bool | isLinear () const override |
Return true (a UnitaryMap is always linear). More... | |
| bool | hasUniformScale () const override |
Return false (by convention true) More... | |
| bool | isEqual (const MapBase &other) const override |
Return true if this map is equal to the given map. More... | |
| bool | operator== (const UnitaryMap &other) const |
| bool | operator!= (const UnitaryMap &other) const |
| 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 |
| Apply the Jacobian of this map to a vector. For a linear map this is equivalent to applying the map excluding translation. 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 determinant of the Jacobian, ignores argument. More... | |
| double | determinant () const override |
| Return the determinant of the Jacobian. 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... | |
| AffineMap::Ptr | getAffineMap () const override |
| Return AffineMap::Ptr to an AffineMap equivalent to *this. 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 given rotation. More... | |
| MapBase::Ptr | preTranslate (const Vec3d &t) const override |
| Return a MapBase::Ptr to a new map that is the result of prepending the given translation. More... | |
| MapBase::Ptr | preScale (const Vec3d &v) const override |
| Return a MapBase::Ptr to a new map that is the result of prepending the given scale. 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 given shear. More... | |
| MapBase::Ptr | postRotate (double radians, Axis axis) const override |
| Return a MapBase::Ptr to a new map that is the result of appending the given rotation. More... | |
| MapBase::Ptr | postTranslate (const Vec3d &t) const override |
| Return a MapBase::Ptr to a new map that is the result of appending the given translation. More... | |
| MapBase::Ptr | postScale (const Vec3d &v) const override |
| Return a MapBase::Ptr to a new map that is the result of appending the given scale. 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 appending the given shear. More... | |
| Vec3d | voxelSize () const override |
| Returns 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 |
| Returns 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... | |
| 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 UnitaryMap. More... | |
| static bool | isRegistered () |
| static void | registerMap () |
| static Name | mapType () |
Return UnitaryMap. More... | |
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) |
A specialized linear transform that performs a unitary maping i.e. rotation and or reflection.
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overridedefault |
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inlineoverridevirtual |
Return the Jacobian Curvature: zero for a linear map.
Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.
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inlineoverridevirtual |
Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.
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inlineoverridevirtual |
Return the transpose of the inverse Jacobian of the map applied to in.
Ignores second argument
Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.
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inlineoverridevirtual |
Return the transpose of the inverse Jacobian of the map applied to in.
Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.
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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.
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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.
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inlineoverridevirtual |
Return the pre-image of in under the map.
Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.
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inlineoverridevirtual |
Apply the Jacobian of this map to a vector. For a linear map this is equivalent to applying the map excluding translation.
Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.
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inlineoverridevirtual |
Return the Jacobian of the map applied to in.
Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.
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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.
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inlineoverridevirtual |
Return the Jacobian Transpose of the map applied to in.
Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.
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inlineoverridevirtual |
Return the image of in under the map.
Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.
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inlineoverridevirtual |
Returns a MapBase::Ptr to a deep copy of *this.
Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.
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inlinestatic |
Return a MapBase::Ptr to a new UnitaryMap.
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inlineoverridevirtual |
Return the determinant of the Jacobian, ignores argument.
Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.
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inlineoverridevirtual |
Return the determinant of the Jacobian.
Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.
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inlineoverridevirtual |
Return AffineMap::Ptr to an AffineMap equivalent to *this.
Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.
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inlineoverridevirtual |
Return false (by convention true)
Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.
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inlineoverridevirtual |
Return a new map representing the inverse of this map.
| NotImplementedError | if the map is a NonlinearFrustumMap. |
Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.
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inlineoverridevirtual |
Return true if this map is equal to the given map.
Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.
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inlineoverridevirtual |
Return true (a UnitaryMap is always linear).
Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.
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inlinestatic |
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inlinestatic |
Return UnitaryMap.
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inline |
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inline |
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inlineoverridevirtual |
Return a MapBase::Ptr to a new map that is the result of appending the given rotation.
Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.
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inlineoverridevirtual |
Return a MapBase::Ptr to a new map that is the result of appending the given scale.
Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.
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inlineoverridevirtual |
Return a MapBase::Ptr to a new map that is the result of appending the given shear.
Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.
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inlineoverridevirtual |
Return a MapBase::Ptr to a new map that is the result of appending the given translation.
Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.
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inlineoverridevirtual |
Return a MapBase::Ptr to a new map that is the result of prepending the given rotation.
Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.
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inlineoverridevirtual |
Return a MapBase::Ptr to a new map that is the result of prepending the given scale.
Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.
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inlineoverridevirtual |
Return a MapBase::Ptr to a new map that is the result of prepending the given shear.
Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.
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inlineoverridevirtual |
Return a MapBase::Ptr to a new map that is the result of prepending the given translation.
Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.
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inlineoverridevirtual |
read serialization
Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.
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inlinestatic |
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inlineoverridevirtual |
string serialization, useful for debuging
Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.
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inlineoverridevirtual |
Return UnitaryMap.
Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.
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inlineoverridevirtual |
Returns 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).
Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.
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inlineoverridevirtual |
Returns 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).
Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.
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inlineoverridevirtual |
write serialization
Implements openvdb::OPENVDB_VERSION_NAME::math::MapBase.
1.8.6 
