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DICOM PS3.17 2020a - Explanatory Information |
A point (P Xt , P Yt , P Zt ) in the table coordinate system (see Figure FFF.1.2-7) can be expressed as a point (P X , P Y , P Z ) in the Isocenter coordinate system by applying the following transformation:
(PX, PY, PZ)T= (R3 .R2 .R1)T .(PXt, PYt, PZt)T+ (TX, TY, TZ)T
And inversely, a point (P X , P Y , P Z ) in the Isocenter coordinate system can be expressed as a point (P Xt , P Yt , P Zt ) in the table coordinate system by applying the following transformation:
(PXt, PYt, PZt)T= (R3 .R2 .R1).((PX, PY, PZ)T- (TX, TY, TZ)T)
Where R1 , R2 and R3 are defined in Figure FFF.1.2-7.
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Figure FFF.1.2-7. Point P in the Table and Isocenter Coordinate Systems
FFF.1.2.4 Positioner Movement
FFF.1.2.4.1 Positioner Movement in The Isocenter Coordinate System
The positioner coordinate system is defined in Section C.8.19.6.13.1.2 “Positioner Coordinate System” in PS3.3 where the positioner angles are represented as (Ap1, Ap2, Ap3).
A point (P Xp , P Yp , P Zp ) in the positioner coordinate system can be expressed as a point (P X , P Y , P Z ) in the Isocenter coordinate system by applying the following transformation:
(PX, PY, PZ)T= (R2 .R1)T .(R3 T .(PXp, PYp, PZp)T)
And inversely, a point (P X , P Y , P Z ) in the Isocenter coordinate system can be expressed as a point (P Xp , P Yp , P Zp ) in the po- sitioner coordinate system by applying the following transformation:
(PXp, PYp, PZp)T= R3 .((R2 .R1).(PX, PY, PZ)T)
Where R1 ,R2 andR3 are defined as follows:
FFF.1.2.4.2 X-Ray Incidence and Image Coordinate System
The following concepts illustrate the model of X-Ray cone-beam projection:
The X-Ray incidence represents the vector going from the X-Ray source to the Isocenter.
The receptor plane represents the plane perpendicular to the X-Ray Incidence, at distance SID from the X-Ray source. Applies for both image intensifier and digital detector. In case of digital detector it is equivalent to the detector plane.
The image coordinate system is represented by (o, u, v), where "o" is the projection of the Isocenter on the receptor plane.
The source to isocenter distance is called ISO. The source image receptor distance is called SID.
The projection of a point (P Xp , P Yp , P Zp ) in the positioner coordinate system is represented as a point (P u , P v ) in the image coordinate system.