Table 1 Parameters defining ligament attachment points on the lumbar spine, including their cylindrical coordinates, and anatomical descriptions.

From: Streamlined and efficient patient-specific modeling for lumbar spine segmentation and finite element analysis

Ligament

Point name

Cylindrical coordinates (\(\phi ,\theta ,r\))

Anterior longitudinal (ALL)

Anterior longitudinal lower

(29.063, − 85, 18)

Anterior longitudinal upper

(30, − 85, − 8)

Intertransverse (ITL)

Intertransverse left

(35, 30, − 1)

Intertransverse right

(35, 156, − 1)

Capsular (CL)

Capsular lower left

(25, 128.63, 16)

Capsular lower right

(18, 61, 21)

Capsular upper left

(− 4, 30, − 28)

Capsular upper right

(− 4, 140, − 27)

Supraspinal (SSL)

Supraspinal and interspinous ligament

(25, 90.7, − 30)

Posterior longitudinal (PLL)

Posterior longitudinal ligament

Closest N points to vertebral center

Ligamentum flavum (LF)

Ligamentum flavum

Midpoints between vertebrae centers