FFF.1.2.3 Table Movement

FFF.1.2.3.1 Isocenter Coordinate System

The Isocenter coordinate system is defined in section C.8.19.6.13.1.1 of PS 3.3.

FFF.1.2.3.2 Table Movement in the Isocenter Coordinate System

The table coordinate system is defined in section C.8.19.6.13.1.3 of PS 3.3 where the table translation is represented as (T X ,T Y ,T Z ). The table rotation is represented as (At 1 , At 2 , At 3 ).

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Figure FFF.1.2-4At1: Table Horizontal Rotation Angle

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Figure FFF.1.2-5At2: Table Head Tilt Angle

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Figure FFF.1.2-6At3: Table Cradle Tilt Angle

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:

(P X , P Y , P Z ) T = (R 3 . R 2 . R 1 ) T . (P Xt , P Yt , P Zt ) T + (T X , T Y , T Z ) 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:

(P Xt , P Yt , P Zt ) T = (R 3 . R 2 . R 1 ) . ( (P X , P Y , P Z ) T - (T X , T Y , T Z ) T )

Where R 1 , R 2 and R 3 are defined as follows:

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Figure FFF.1.2-7Point P in the Table and Isocenter Coordinate Systems