# DICOM Standard Browser

Built with by Innolitics, a team of medical imaging software developers.

Data synced with official DICOM standard on 18 April 2024. The DICOM Standard is under continuous maintenance, and the current official version is available at http://www.dicomstandard.org/current/. DICOM Parts 3, 4, and 6, © NEMA. Please note that the most recent PDF version of the standard is the official reference, and should checked when making technical decisions.

## Volume to Table Mapping Matrix Attribute

Tag (0020,930A) Conditionally Required (1C) VolumeToTableMappingMatrix 16 Double (FD)

A 4x4 rigid transformation matrix that maps the Volume Frame of Reference homogeneous coordinate system (XV,YV, ZV) to the Table Frame of Reference homogeneous coordinate system (XT,YT, ZT). Matrix elements shall be listed in row-major order. See Section C.8.24.2.2 for details.

Required if Patient Frame of Reference Source (0020,930C) is TABLE.

## Section C.8.24.2.2

##### C.8.24.2.2 Ultrasound Frame of Reference Module Attribute Descriptions
###### C.8.24.2.2.1 Volume to Transducer Mapping Matrix

The Volume to Transducer Mapping Matrix (0020,9309) is used to describe the relationship between the Transducer Frame of Reference coordinate system and the Volume Frame of Reference coordinate system.

The Volume to Transducer Mapping Matrix ([MTV] = [P]*[Q]) describes how to transform a point (XV, YV, ZV) in the Volume coordinate system into (XX,YX, ZX) in the Transducer coordinate system according to the equation below.

Where:

XVYVZV

The voxel location (in mm) in the Volume Frame of Reference

XXYXZX

The voxel location (in mm) in the Transducer Frame of Reference

Pij,Pij,Pij

A 3x3 matrix of direction cosine values as measured to the Transducer origin from the volume origin.

Qx,Qy,Qz

The translation values (in mm) describe the location in mm of the Transducer Frame of Reference (XX,YX, ZX) origin from the Volume Reference Origin (XV,YV, ZV) measured in millimeters along the Volume axes i.e., to the transducer origin from the volume origin.

###### C.8.24.2.2.2 Volume to Table Mapping Matrix

The Volume to Table Mapping Matrix (0020,930A) is used to describe the relationship between the Volume Frame of Reference coordinate system and a modality specific equipment coordinate system. This mapping can be used only with systems that have a well-defined equipment coordinate system.

The Volume to Table Mapping Matrix([MVG] = [R]*[S]) describes how to transform a point (XVYVZV) in the Volume coordinate system into (XT, YT, ZT) in the Table coordinate system according to the equation below.

Equation C.8.24-1.

Where:

XVYVZV

The voxel location (in mm) in the Volume Frame of Reference

XTYTZT

The voxel location (in mm) in the Table Frame of Reference

Rij,Rij,Rij

A 3x3 matrix of direction cosine values as measured to the gantry origin from the volume origin.

Sx,Sy,Sz

The translation values (in mm) describe the location in mm of the Table Frame of Reference (XT, YT, ZT) origin from the Volume Reference Origin (XV,YV, ZV) measured in millimeters along the table axes i.e., to the table origin from the volume origin.

### Note

The Mapping Matrices are rigid transformations that involve only translations and rotations. Mathematically, the matrix is orthonormal and describes six degrees of freedom: three translations, and three rotations.