A general linear transform using homogeneous coordinates to perform rotation, scaling, shear and translation.
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| AffineMap () |
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| AffineMap (const Mat3d &m) |
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| AffineMap (const Mat4d &m) |
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| AffineMap (const AffineMap &other) |
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| AffineMap (const AffineMap &first, const AffineMap &second) |
| constructor that merges the matrixes for two affine maps More...
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| ~AffineMap () override=default |
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MapBase::Ptr | copy () const override |
| Return a MapBase::Ptr to a deep copy of this map. More...
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MapBase::Ptr | inverseMap () const override |
| Return a new map representing the inverse of this map. More...
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Name | type () const override |
| Return the name of this map's concrete type (e.g., "AffineMap" ). More...
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bool | isLinear () const override |
| Return true (an AffineMap is always linear). More...
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bool | hasUniformScale () const override |
| Return false ( test if this is unitary with translation ) More...
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bool | isEqual (const MapBase &other) const override |
| Return true if this map is equal to the given map. More...
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bool | operator== (const AffineMap &other) const |
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bool | operator!= (const AffineMap &other) const |
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AffineMap & | operator= (const AffineMap &other) |
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Vec3d | applyMap (const Vec3d &in) const override |
| Return the image of in under the map. More...
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Vec3d | applyInverseMap (const Vec3d &in) const override |
| Return the pre-image of in under the map. More...
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Vec3d | applyJacobian (const Vec3d &in, const Vec3d &) const override |
| Return the Jacobian of the map applied to in. More...
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Vec3d | applyJacobian (const Vec3d &in) const override |
| Return the Jacobian of the map applied to in. More...
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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...
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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...
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Vec3d | applyJT (const Vec3d &in, const Vec3d &) const override |
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Vec3d | applyJT (const Vec3d &in) const override |
| Return the Jacobian Transpose of the map applied to in. More...
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Vec3d | applyIJT (const Vec3d &in, const Vec3d &) const override |
| Return the transpose of the inverse Jacobian of the map applied to in. More...
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Vec3d | applyIJT (const Vec3d &in) const override |
| Return the transpose of the inverse Jacobian of the map applied to in . More...
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Mat3d | applyIJC (const Mat3d &m) const override |
| Return the Jacobian Curvature: zero for a linear map. More...
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Mat3d | applyIJC (const Mat3d &in, const Vec3d &, const Vec3d &) const override |
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double | determinant (const Vec3d &) const override |
| Return the determinant of the Jacobian, ignores argument. More...
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double | determinant () const override |
| Return the determinant of the Jacobian. More...
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bool | isIdentity () const |
| Return true if the underlying matrix is approximately an identity. More...
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bool | isDiagonal () const |
| Return true if the underylying matrix is diagonal. More...
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bool | isScale () const |
| Return true if the map is equivalent to a ScaleMap. More...
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bool | isScaleTranslate () const |
| Return true if the map is equivalent to a ScaleTranslateMap. More...
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void | read (std::istream &is) override |
| read serialization More...
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void | write (std::ostream &os) const override |
| write serialization More...
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std::string | str () const override |
| string serialization, useful for debugging More...
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SharedPtr< FullyDecomposedMap > | createDecomposedMap () |
| on-demand decomposition of the affine map More...
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AffineMap::Ptr | getAffineMap () const override |
| Return AffineMap::Ptr to a deep copy of the current AffineMap. More...
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AffineMap::Ptr | inverse () const |
| Return AffineMap::Ptr to the inverse of this map. More...
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Mat4d | getMat4 () const |
| Return the matrix representation of this AffineMap. More...
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const Mat4d & | getConstMat4 () const |
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const Mat3d & | getConstJacobianInv () const |
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template<typename MapT > |
bool | isType () const |
| Return true if this map is of concrete type MapT (e.g., AffineMap). More...
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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...
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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...
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void | accumPreRotation (Axis axis, double radians) |
| Modify the existing affine map by pre-applying the given operation. More...
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void | accumPreScale (const Vec3d &v) |
| Modify the existing affine map by pre-applying the given operation. More...
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void | accumPreTranslation (const Vec3d &v) |
| Modify the existing affine map by pre-applying the given operation. More...
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void | accumPreShear (Axis axis0, Axis axis1, double shear) |
| Modify the existing affine map by pre-applying the given operation. More...
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void | accumPostRotation (Axis axis, double radians) |
| Modify the existing affine map by post-applying the given operation. More...
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void | accumPostScale (const Vec3d &v) |
| Modify the existing affine map by post-applying the given operation. More...
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void | accumPostTranslation (const Vec3d &v) |
| Modify the existing affine map by post-applying the given operation. More...
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void | accumPostShear (Axis axis0, Axis axis1, double shear) |
| Modify the existing affine map by post-applying the given operation. More...
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MapBase::Ptr | preRotate (double radians, Axis axis=X_AXIS) const override |
| Return a MapBase::Ptr to a new map that is the result of prepending the appropraite operation. More...
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MapBase::Ptr | preTranslate (const Vec3d &t) const override |
| Return a MapBase::Ptr to a new map that is the result of prepending the appropraite operation. More...
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MapBase::Ptr | preScale (const Vec3d &s) const override |
| Return a MapBase::Ptr to a new map that is the result of prepending the appropraite operation. More...
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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. More...
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MapBase::Ptr | postRotate (double radians, Axis axis=X_AXIS) const override |
| Return a MapBase::Ptr to a new map that is the result of postfixing the appropraite operation. More...
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MapBase::Ptr | postTranslate (const Vec3d &t) const override |
| Return a MapBase::Ptr to a new map that is the result of postfixing the appropraite operation. More...
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MapBase::Ptr | postScale (const Vec3d &s) const override |
| Return a MapBase::Ptr to a new map that is the result of postfixing the appropraite operation. More...
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MapBase::Ptr | postShear (double shear, Axis axis0, Axis axis1) const override |
| Return a MapBase::Ptr to a new map that is the result of postfixing the appropraite operation. More...
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A general linear transform using homogeneous coordinates to perform rotation, scaling, shear and translation.