The origin of the patient coordinate system is arbitrary, and selected by the imaging modality. I assume that the modality is free to choose a different origin for each series of images, but the origin is fixed for a given series.
If you wish to annotate images when displayed with notations such as (L) or (R) to indicate which side of the 2D image is considered the patient's left or right side, you need the Patient Position (0018, 5100) Attribute from the General Series module.
This attribute contains the position of the patient relative to the imaging equipment space.Valid values are:
1.Head First-Prone
2.Head First-Supine
3.Head First-Decubitus Right
4.Head First-Decubitus Left
5.Feet First-Decubitus Left
6.Feet First-Decubitus Right
7.Feet First-Prone
8.Feet First-Supine.
Definitions:
Head First means the patient was laying on the imaging couch with the head facing the imaging device first.
Feet first means the patient was laying on the imaging couch with the feet facing the imaging device first.
Prone means the patient is laying on his/her stomach. (Patient's face being positioned in a downwards (gravity) direction.)
Supine means the patient is laying on his/her back. (Patient's face being in an upwards direction.)
Decubitus Right means the patient is laying with his/her right side in a downwards direction.
Decubitus Left means the patient is laying with his/her left side in a downwards direction.
NOTE -- Patient Position (0018, 5100) is a type 1 required attribute for both the CT and MR modalities. This attribute is VERY IMPORTANT for accurately interpreting the patient's orientation.