Field3D
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Represents the mapping of a field by a matrix transform. More...
#include <FieldMapping.h>
Public Types | |
typedef boost::intrusive_ptr < MatrixFieldMapping > | Ptr |
Convenience typedef. | |
typedef boost::intrusive_ptr < MatrixFieldMapping > | Ptr |
Convenience typedef. | |
Public Member Functions | |
const M44d & | localToWorld () const |
Returns a reference to the local to world transform. | |
const M44d & | localToWorld () const |
Returns a reference to the local to world transform. | |
void | makeIndentity () |
Sets the transform to identity. This makes it functionally equivalend to a NullFieldMapping. | |
void | makeIndentity () |
Sets the transform to identity. This makes it functionally equivalend to a NullFieldMapping. | |
void | setLocalToWorld (const M44d &lsToWs) |
Sets the local to world transform. All other matrices will be updated based on this. | |
void | setLocalToWorld (const M44d &lsToWs) |
Sets the local to world transform. All other matrices will be updated based on this. | |
const M44d & | worldToVoxel () const |
Returns a reference to the world to voxel space transform. | |
const M44d & | worldToVoxel () const |
Returns a reference to the world to voxel space transform. | |
Constructors & destructor | |
MatrixFieldMapping () | |
MatrixFieldMapping (const Box3i &extents) | |
MatrixFieldMapping () | |
MatrixFieldMapping (const Box3i &extents) | |
From FieldMapping | |
virtual void | worldToVoxel (const V3d &wsP, V3d &vsP) const |
Transform from world space position into voxel space. | |
virtual void | worldToVoxel (const V3d &wsP, V3d &vsP, float) const |
virtual void | worldToVoxel (std::vector< V3d >::const_iterator wsP, std::vector< V3d >::const_iterator end, std::vector< V3d >::iterator vsP) const |
virtual void | voxelToWorld (const V3d &vsP, V3d &wsP) const |
Transform from voxel space position into world space. | |
virtual void | voxelToWorld (std::vector< V3d >::const_iterator vsP, std::vector< V3d >::const_iterator end, std::vector< V3d >::iterator wsP) const |
Transforms multiple positions at once. Mainly used to avoid the overhead of virtual calls when transforming large quantities of points. | |
virtual void | worldToLocal (const V3d &wsP, V3d &lsP) const |
Transform from world space position into local space. | |
virtual void | worldToLocal (const V3d &wsP, V3d &lsP, float) const |
virtual void | worldToLocal (std::vector< V3d >::const_iterator wsP, std::vector< V3d >::const_iterator end, std::vector< V3d >::iterator lsP) const |
virtual void | localToWorld (const V3d &lsP, V3d &wsP) const |
Transform from local space position into world space. | |
void | worldToVoxelDir (const V3d &wsV, V3d &vsV) const |
void | voxelToWorldDir (const V3d &vsV, V3d &wsV) const |
void | worldToLocalDir (const V3d &wsV, V3d &lsV) const |
void | localToWorldDir (const V3d &lsV, V3d &wsV) const |
virtual void | extentsChanged () |
Implement this if the subclass needs to update itself when the resolution changes. | |
virtual std::string | className () const |
Returns the FieldMapping type name. Used when writing/reading from disk. | |
virtual bool | isIdentical (FieldMapping::Ptr other, double tolerance=0.0) const |
Whether the mapping is identical to another mapping. | |
virtual V3d | wsVoxelSize (int, int, int) const |
Returns world-space size of a voxel at the specified coordinate. | |
virtual FieldMapping::Ptr | clone () const |
Returns a pointer to a copy of the mapping, pure virtual so ensure derived classes properly implement it. | |
virtual void | worldToVoxel (const V3d &wsP, V3d &vsP) const |
Transform from world space position into voxel space. | |
virtual void | worldToVoxel (const V3d &wsP, V3d &vsP, float) const |
virtual void | worldToVoxel (std::vector< V3d >::const_iterator wsP, std::vector< V3d >::const_iterator end, std::vector< V3d >::iterator vsP) const |
virtual void | voxelToWorld (const V3d &vsP, V3d &wsP) const |
Transform from voxel space position into world space. | |
virtual void | voxelToWorld (std::vector< V3d >::const_iterator vsP, std::vector< V3d >::const_iterator end, std::vector< V3d >::iterator wsP) const |
Transforms multiple positions at once. Mainly used to avoid the overhead of virtual calls when transforming large quantities of points. | |
virtual void | worldToLocal (const V3d &wsP, V3d &lsP) const |
Transform from world space position into local space. | |
virtual void | worldToLocal (const V3d &wsP, V3d &lsP, float) const |
virtual void | worldToLocal (std::vector< V3d >::const_iterator wsP, std::vector< V3d >::const_iterator end, std::vector< V3d >::iterator lsP) const |
virtual void | localToWorld (const V3d &lsP, V3d &wsP) const |
Transform from local space position into world space. | |
void | worldToVoxelDir (const V3d &wsV, V3d &vsV) const |
void | voxelToWorldDir (const V3d &vsV, V3d &wsV) const |
void | worldToLocalDir (const V3d &wsV, V3d &lsV) const |
void | localToWorldDir (const V3d &lsV, V3d &wsV) const |
virtual void | extentsChanged () |
Implement this if the subclass needs to update itself when the resolution changes. | |
virtual std::string | className () const |
Returns the FieldMapping type name. Used when writing/reading from disk. | |
virtual bool | isIdentical (FieldMapping::Ptr other, double tolerance=0.0) const |
Whether the mapping is identical to another mapping. | |
virtual V3d | wsVoxelSize (int, int, int) const |
Returns world-space size of a voxel at the specified coordinate. | |
virtual FieldMapping::Ptr | clone () const |
Returns a pointer to a copy of the mapping, pure virtual so ensure derived classes properly implement it. | |
Private Member Functions | |
void | getLocalToVoxelMatrix (M44d &result) |
void | getLocalToVoxelMatrix (M44d &result) |
void | updateTransform () |
Updates the local to world transformation matrix. | |
void | updateTransform () |
Updates the local to world transformation matrix. | |
Private Attributes | |
M44d | m_lsToWs |
Local space to world space. | |
M44d | m_vsToWs |
Voxel space to world space. | |
M44d | m_wsToLs |
World space to local space. | |
M44d | m_wsToVs |
World space to voxel space. | |
V3d | m_wsVoxelSize |
Precomputed world-space voxel size. Calculations may assume orthogonal transformation for efficiency. |
Represents the mapping of a field by a matrix transform.
Refer to using_mappings for examples of how to use this in your code.
Refer to using_mappings for examples of how to use this in your code.
Definition at line 301 of file FieldMapping.h.
typedef boost::intrusive_ptr<MatrixFieldMapping> MatrixFieldMapping::Ptr |
Convenience typedef.
Reimplemented from FieldMapping.
Definition at line 308 of file FieldMapping.h.
typedef boost::intrusive_ptr<MatrixFieldMapping> MatrixFieldMapping::Ptr |
Convenience typedef.
Reimplemented from FieldMapping.
Definition at line 308 of file FieldMapping.h.
MatrixFieldMapping::MatrixFieldMapping | ( | ) |
Definition at line 176 of file FieldMapping.cpp.
References makeIndentity().
Referenced by clone().
: FieldMapping() { makeIndentity(); }
MatrixFieldMapping::MatrixFieldMapping | ( | const Box3i & | extents | ) |
Definition at line 184 of file FieldMapping.cpp.
References makeIndentity().
: FieldMapping(extents) { makeIndentity(); }
MatrixFieldMapping::MatrixFieldMapping | ( | ) |
MatrixFieldMapping::MatrixFieldMapping | ( | const Box3i & | extents | ) |
void MatrixFieldMapping::setLocalToWorld | ( | const M44d & | lsToWs | ) |
Sets the local to world transform. All other matrices will be updated based on this.
Definition at line 192 of file FieldMapping.cpp.
References m_lsToWs, and updateTransform().
{ m_lsToWs = lsToWs; updateTransform(); }
const M44d& MatrixFieldMapping::localToWorld | ( | ) | const [inline] |
Returns a reference to the local to world transform.
Definition at line 327 of file FieldMapping.h.
References m_lsToWs.
Referenced by convertCellCenteredToMAC(), convertMACToCellCentered(), and printMapping().
{ return m_lsToWs; }
const M44d& MatrixFieldMapping::worldToVoxel | ( | ) | const [inline] |
Returns a reference to the world to voxel space transform.
Definition at line 331 of file FieldMapping.h.
References m_wsToVs.
{ return m_wsToVs; }
void MatrixFieldMapping::makeIndentity | ( | ) |
Sets the transform to identity. This makes it functionally equivalend to a NullFieldMapping.
Definition at line 200 of file FieldMapping.cpp.
References m_lsToWs, and updateTransform().
Referenced by MatrixFieldMapping().
{ m_lsToWs.makeIdentity(); updateTransform(); }
virtual void MatrixFieldMapping::worldToVoxel | ( | const V3d & | wsP, |
V3d & | vsP | ||
) | const [inline, virtual] |
Transform from world space position into voxel space.
Implements FieldMapping.
Definition at line 343 of file FieldMapping.h.
References m_wsToVs.
{ m_wsToVs.multVecMatrix(wsP, vsP); }
virtual void MatrixFieldMapping::worldToVoxel | ( | const V3d & | wsP, |
V3d & | vsP, | ||
float | |||
) | const [inline, virtual] |
Implements FieldMapping.
Definition at line 347 of file FieldMapping.h.
References m_wsToVs.
{ m_wsToVs.multVecMatrix(wsP, vsP); }
virtual void MatrixFieldMapping::worldToVoxel | ( | std::vector< V3d >::const_iterator | wsP, |
std::vector< V3d >::const_iterator | end, | ||
std::vector< V3d >::iterator | vsP | ||
) | const [inline, virtual] |
Implements FieldMapping.
Definition at line 351 of file FieldMapping.h.
References m_wsToVs.
{ for (; wsP != end; ++wsP, ++vsP) m_wsToVs.multVecMatrix(*wsP, *vsP); }
virtual void MatrixFieldMapping::voxelToWorld | ( | const V3d & | vsP, |
V3d & | wsP | ||
) | const [inline, virtual] |
Transform from voxel space position into world space.
Implements FieldMapping.
Definition at line 359 of file FieldMapping.h.
References m_vsToWs.
{ m_vsToWs.multVecMatrix(vsP, wsP); }
virtual void MatrixFieldMapping::voxelToWorld | ( | std::vector< V3d >::const_iterator | vsP, |
std::vector< V3d >::const_iterator | end, | ||
std::vector< V3d >::iterator | wsP | ||
) | const [inline, virtual] |
Transforms multiple positions at once. Mainly used to avoid the overhead of virtual calls when transforming large quantities of points.
Implements FieldMapping.
Definition at line 362 of file FieldMapping.h.
References m_vsToWs.
{ for (; vsP != end; ++vsP, ++wsP) m_vsToWs.multVecMatrix(*vsP, *wsP); }
virtual void MatrixFieldMapping::worldToLocal | ( | const V3d & | wsP, |
V3d & | lsP | ||
) | const [inline, virtual] |
Transform from world space position into local space.
Implements FieldMapping.
Definition at line 370 of file FieldMapping.h.
References m_wsToLs.
{ m_wsToLs.multVecMatrix(wsP, lsP); }
virtual void MatrixFieldMapping::worldToLocal | ( | const V3d & | wsP, |
V3d & | lsP, | ||
float | |||
) | const [inline, virtual] |
Implements FieldMapping.
Definition at line 374 of file FieldMapping.h.
References m_wsToLs.
{ m_wsToLs.multVecMatrix(wsP, lsP); }
virtual void MatrixFieldMapping::worldToLocal | ( | std::vector< V3d >::const_iterator | wsP, |
std::vector< V3d >::const_iterator | end, | ||
std::vector< V3d >::iterator | lsP | ||
) | const [inline, virtual] |
Implements FieldMapping.
Definition at line 378 of file FieldMapping.h.
References m_wsToLs.
{ for (; wsP != end; ++wsP, ++lsP) m_wsToLs.multVecMatrix(*wsP, *lsP); }
virtual void MatrixFieldMapping::localToWorld | ( | const V3d & | lsP, |
V3d & | wsP | ||
) | const [inline, virtual] |
Transform from local space position into world space.
Implements FieldMapping.
Definition at line 386 of file FieldMapping.h.
References m_lsToWs.
{ m_lsToWs.multVecMatrix(lsP, wsP); }
Definition at line 389 of file FieldMapping.h.
References m_wsToVs.
{ m_wsToVs.multDirMatrix(wsV, vsV); }
Definition at line 392 of file FieldMapping.h.
References m_vsToWs.
{ m_vsToWs.multDirMatrix(vsV, wsV); }
Definition at line 395 of file FieldMapping.h.
References m_wsToLs.
{ m_wsToLs.multDirMatrix(wsV, lsV); }
Definition at line 398 of file FieldMapping.h.
References m_lsToWs.
{ m_lsToWs.multDirMatrix(lsV, wsV); }
void MatrixFieldMapping::extentsChanged | ( | ) | [virtual] |
Implement this if the subclass needs to update itself when the resolution changes.
Reimplemented from FieldMapping.
Definition at line 208 of file FieldMapping.cpp.
References updateTransform().
{ updateTransform(); }
std::string MatrixFieldMapping::className | ( | ) | const [virtual] |
Returns the FieldMapping type name. Used when writing/reading from disk.
Implements FieldMapping.
Definition at line 215 of file FieldMapping.cpp.
References FIELD3D_NAMESPACE_OPEN::k_matrixMappingName().
{ return k_matrixMappingName; }
bool MatrixFieldMapping::isIdentical | ( | FieldMapping::Ptr | other, |
double | tolerance = 0.0 |
||
) | const [virtual] |
Whether the mapping is identical to another mapping.
Implements FieldMapping.
Definition at line 222 of file FieldMapping.cpp.
References FIELD3D_EXTRACT_SHRT, FIELD3D_NAMESPACE_OPEN::k_matrixMappingName(), m_lsToWs, and m_wsToVs.
{ if (other->className() != k_matrixMappingName) { return false; } else { MatrixFieldMapping::Ptr mm = dynamic_pointer_cast<MatrixFieldMapping>(other); if (mm) { // first preserve the same test as before: if (mm->m_lsToWs.equalWithRelError(m_lsToWs, tolerance) && mm->m_wsToVs.equalWithRelError(m_wsToVs, tolerance)) { return true; } // In case of precision problems, do a more robust test by // decomposing the matrices and comparing the components V3d s1, r1, t1, sh1; V3d s2, r2, t2, sh2; // Compare local-to-world matrices if (!FIELD3D_EXTRACT_SHRT(m_lsToWs, s1, sh1, r1, t1, false)) { return false; } if (!FIELD3D_EXTRACT_SHRT(mm->m_lsToWs, s2, sh2, r2, t2, false)) { return false; } if (!s1.equalWithRelError(s2, tolerance) || !r1.equalWithAbsError(r2, tolerance) || !t1.equalWithRelError(t2, tolerance)) { return false; } // Compare world-to-voxel matrices if (!FIELD3D_EXTRACT_SHRT(m_wsToVs, s1, sh1, r1, t1, false)) { return false; } if (!FIELD3D_EXTRACT_SHRT(mm->m_wsToVs, s2, sh2, r2, t2, false)) { return false; } if (!s1.equalWithRelError(s2, tolerance) || !r1.equalWithAbsError(r2, tolerance) || !t1.equalWithRelError(t2, tolerance)) { return false; } return true; } else { return false; } } return false; }
virtual V3d MatrixFieldMapping::wsVoxelSize | ( | int | i, |
int | j, | ||
int | k | ||
) | const [inline, virtual] |
Returns world-space size of a voxel at the specified coordinate.
Implements FieldMapping.
Definition at line 407 of file FieldMapping.h.
References m_wsVoxelSize.
{ return m_wsVoxelSize; }
FieldMapping::Ptr MatrixFieldMapping::clone | ( | ) | const [virtual] |
Returns a pointer to a copy of the mapping, pure virtual so ensure derived classes properly implement it.
Implements FieldMapping.
Definition at line 311 of file FieldMapping.cpp.
References MatrixFieldMapping().
{ return Ptr(new MatrixFieldMapping(*this)); }
void MatrixFieldMapping::updateTransform | ( | ) | [private] |
Updates the local to world transformation matrix.
Definition at line 278 of file FieldMapping.cpp.
References getLocalToVoxelMatrix(), m_lsToWs, m_vsToWs, m_wsToLs, m_wsToVs, and m_wsVoxelSize.
Referenced by extentsChanged(), makeIndentity(), and setLocalToWorld().
{ m_wsToLs = m_lsToWs.inverse(); M44d lsToVs; getLocalToVoxelMatrix(lsToVs); m_wsToVs = m_wsToLs * lsToVs; m_vsToWs = m_wsToVs.inverse(); // Precompute the voxel size V3d voxelOrigin, nextVoxel; m_vsToWs.multVecMatrix(V3d(0, 0, 0), voxelOrigin); m_vsToWs.multVecMatrix(V3d(1, 0, 0), nextVoxel); m_wsVoxelSize.x = (nextVoxel - voxelOrigin).length(); m_vsToWs.multVecMatrix(V3d(0, 1, 0), nextVoxel); m_wsVoxelSize.y = (nextVoxel - voxelOrigin).length(); m_vsToWs.multVecMatrix(V3d(0, 0, 1), nextVoxel); m_wsVoxelSize.z = (nextVoxel - voxelOrigin).length(); }
void MatrixFieldMapping::getLocalToVoxelMatrix | ( | M44d & | result | ) | [private] |
Definition at line 299 of file FieldMapping.cpp.
References FieldMapping::m_origin, and FieldMapping::m_res.
Referenced by updateTransform().
void MatrixFieldMapping::setLocalToWorld | ( | const M44d & | lsToWs | ) |
Sets the local to world transform. All other matrices will be updated based on this.
const M44d& MatrixFieldMapping::localToWorld | ( | ) | const [inline] |
Returns a reference to the local to world transform.
Definition at line 327 of file FieldMapping.h.
References m_lsToWs.
{ return m_lsToWs; }
const M44d& MatrixFieldMapping::worldToVoxel | ( | ) | const [inline] |
Returns a reference to the world to voxel space transform.
Definition at line 331 of file FieldMapping.h.
References m_wsToVs.
{ return m_wsToVs; }
void MatrixFieldMapping::makeIndentity | ( | ) |
Sets the transform to identity. This makes it functionally equivalend to a NullFieldMapping.
virtual void MatrixFieldMapping::worldToVoxel | ( | const V3d & | wsP, |
V3d & | vsP | ||
) | const [inline, virtual] |
Transform from world space position into voxel space.
Implements FieldMapping.
Definition at line 343 of file FieldMapping.h.
References m_wsToVs.
{ m_wsToVs.multVecMatrix(wsP, vsP); }
virtual void MatrixFieldMapping::worldToVoxel | ( | const V3d & | wsP, |
V3d & | vsP, | ||
float | |||
) | const [inline, virtual] |
Implements FieldMapping.
Definition at line 347 of file FieldMapping.h.
References m_wsToVs.
{ m_wsToVs.multVecMatrix(wsP, vsP); }
virtual void MatrixFieldMapping::worldToVoxel | ( | std::vector< V3d >::const_iterator | wsP, |
std::vector< V3d >::const_iterator | end, | ||
std::vector< V3d >::iterator | vsP | ||
) | const [inline, virtual] |
Implements FieldMapping.
Definition at line 351 of file FieldMapping.h.
References m_wsToVs.
{ for (; wsP != end; ++wsP, ++vsP) m_wsToVs.multVecMatrix(*wsP, *vsP); }
virtual void MatrixFieldMapping::voxelToWorld | ( | const V3d & | vsP, |
V3d & | wsP | ||
) | const [inline, virtual] |
Transform from voxel space position into world space.
Implements FieldMapping.
Definition at line 359 of file FieldMapping.h.
References m_vsToWs.
{ m_vsToWs.multVecMatrix(vsP, wsP); }
virtual void MatrixFieldMapping::voxelToWorld | ( | std::vector< V3d >::const_iterator | vsP, |
std::vector< V3d >::const_iterator | end, | ||
std::vector< V3d >::iterator | wsP | ||
) | const [inline, virtual] |
Transforms multiple positions at once. Mainly used to avoid the overhead of virtual calls when transforming large quantities of points.
Implements FieldMapping.
Definition at line 362 of file FieldMapping.h.
References m_vsToWs.
{ for (; vsP != end; ++vsP, ++wsP) m_vsToWs.multVecMatrix(*vsP, *wsP); }
virtual void MatrixFieldMapping::worldToLocal | ( | const V3d & | wsP, |
V3d & | lsP | ||
) | const [inline, virtual] |
Transform from world space position into local space.
Implements FieldMapping.
Definition at line 370 of file FieldMapping.h.
References m_wsToLs.
{ m_wsToLs.multVecMatrix(wsP, lsP); }
virtual void MatrixFieldMapping::worldToLocal | ( | const V3d & | wsP, |
V3d & | lsP, | ||
float | |||
) | const [inline, virtual] |
Implements FieldMapping.
Definition at line 374 of file FieldMapping.h.
References m_wsToLs.
{ m_wsToLs.multVecMatrix(wsP, lsP); }
virtual void MatrixFieldMapping::worldToLocal | ( | std::vector< V3d >::const_iterator | wsP, |
std::vector< V3d >::const_iterator | end, | ||
std::vector< V3d >::iterator | lsP | ||
) | const [inline, virtual] |
Implements FieldMapping.
Definition at line 378 of file FieldMapping.h.
References m_wsToLs.
{ for (; wsP != end; ++wsP, ++lsP) m_wsToLs.multVecMatrix(*wsP, *lsP); }
virtual void MatrixFieldMapping::localToWorld | ( | const V3d & | lsP, |
V3d & | wsP | ||
) | const [inline, virtual] |
Transform from local space position into world space.
Implements FieldMapping.
Definition at line 386 of file FieldMapping.h.
References m_lsToWs.
{ m_lsToWs.multVecMatrix(lsP, wsP); }
Definition at line 389 of file FieldMapping.h.
References m_wsToVs.
{ m_wsToVs.multDirMatrix(wsV, vsV); }
Definition at line 392 of file FieldMapping.h.
References m_vsToWs.
{ m_vsToWs.multDirMatrix(vsV, wsV); }
Definition at line 395 of file FieldMapping.h.
References m_wsToLs.
{ m_wsToLs.multDirMatrix(wsV, lsV); }
Definition at line 398 of file FieldMapping.h.
References m_lsToWs.
{ m_lsToWs.multDirMatrix(lsV, wsV); }
virtual void MatrixFieldMapping::extentsChanged | ( | ) | [virtual] |
Implement this if the subclass needs to update itself when the resolution changes.
Reimplemented from FieldMapping.
virtual std::string MatrixFieldMapping::className | ( | ) | const [virtual] |
Returns the FieldMapping type name. Used when writing/reading from disk.
Implements FieldMapping.
virtual bool MatrixFieldMapping::isIdentical | ( | FieldMapping::Ptr | other, |
double | tolerance = 0.0 |
||
) | const [virtual] |
Whether the mapping is identical to another mapping.
Implements FieldMapping.
virtual V3d MatrixFieldMapping::wsVoxelSize | ( | int | i, |
int | j, | ||
int | k | ||
) | const [inline, virtual] |
Returns world-space size of a voxel at the specified coordinate.
Implements FieldMapping.
Definition at line 407 of file FieldMapping.h.
References m_wsVoxelSize.
{ return m_wsVoxelSize; }
virtual FieldMapping::Ptr MatrixFieldMapping::clone | ( | ) | const [virtual] |
Returns a pointer to a copy of the mapping, pure virtual so ensure derived classes properly implement it.
Implements FieldMapping.
void MatrixFieldMapping::updateTransform | ( | ) | [private] |
Updates the local to world transformation matrix.
M44d MatrixFieldMapping::m_lsToWs [private] |
Local space to world space.
Definition at line 423 of file FieldMapping.h.
Referenced by isIdentical(), localToWorld(), localToWorldDir(), makeIndentity(), setLocalToWorld(), and updateTransform().
M44d MatrixFieldMapping::m_wsToLs [private] |
World space to local space.
Definition at line 425 of file FieldMapping.h.
Referenced by updateTransform(), worldToLocal(), and worldToLocalDir().
M44d MatrixFieldMapping::m_vsToWs [private] |
Voxel space to world space.
Definition at line 427 of file FieldMapping.h.
Referenced by updateTransform(), voxelToWorld(), and voxelToWorldDir().
M44d MatrixFieldMapping::m_wsToVs [private] |
World space to voxel space.
Definition at line 429 of file FieldMapping.h.
Referenced by isIdentical(), updateTransform(), worldToVoxel(), and worldToVoxelDir().
V3d MatrixFieldMapping::m_wsVoxelSize [private] |
Precomputed world-space voxel size. Calculations may assume orthogonal transformation for efficiency.
Definition at line 432 of file FieldMapping.h.
Referenced by updateTransform(), and wsVoxelSize().