Mathematical theory of stereotactic coordinate transformation: elimination of rotational targeting error by addition of a third reference point

Technical note

Ethan Taub M.D.1
View More View Less
  • 1 Department of Neurosurgery, Inselspital, Berne, Switzerland
Restricted access

Purchase Now

USD  $45.00

JNS + Pediatrics - 1 year subscription bundle (Individuals Only)

USD  $515.00

JNS + Pediatrics + Spine - 1 year subscription bundle (Individuals Only)

USD  $612.00
Print or Print + Online Sign in

✓ All frame-based stereotactic procedures require localization of an anatomical target within the coordinate system of the stereotactic frame. If the target is defined by its coordinates given in a stereotactic atlas (indirect localization), the neurosurgeon faces the mathematical task of transforming atlas coordinates into frame coordinates. In the method usually used, the frame coordinates of two reference points (the anterior and posterior commissures) are obtained from computerized tomography or magnetic resonance images, and serve as the basis for the coordinate transformation. This two-point algorithm relies on the additional assumption that the frame sits on the patient's head without exhibiting roll, that is, rotation about the anteroposterior axis (y axis). Usually this assumption is nearly, but not exactly, correct. An amount of roll as small as 3° can cause a targeting error on the order of 1 mm when a two-point algorithm is used. This potential source of error can be eliminated by using a new method of coordinate transformation, the derivation of which is mathematically reported in this article. The new method requires a third reference point located in the midsagittal plane, in addition to the two commissural reference points.

JNS + Pediatrics - 1 year subscription bundle (Individuals Only)

USD  $515.00

JNS + Pediatrics + Spine - 1 year subscription bundle (Individuals Only)

USD  $612.00
  • 1.

    Krauss JK, , King DE, & Grossman RG: Alignment correction algorithm for transformation of stereotactic anterior commissure/posterior commissure-based coordinates into frame coordinates for image-guided functional neurosurgery. Neurosurgery 42:806812, 1998 Krauss JK, King DE, Grossman RG: Alignment correction algorithm for transformation of stereotactic anterior commissure/posterior commissure-based coordinates into frame coordinates for image-guided functional neurosurgery. Neurosurgery 42:806–812, 1998

    • Search Google Scholar
    • Export Citation
  • 2.

    Laitinen LV, , Bergenheim AT, & Hariz MI: Leksell's posteroventral pallidotomy in the treatment of Parkinson's disease. J Neurosurg 76:5361, 1992 Laitinen LV, Bergenheim AT, Hariz MI: Leksell's posteroventral pallidotomy in the treatment of Parkinson's disease. J Neurosurg 76:53–61, 1992

    • Search Google Scholar
    • Export Citation
  • 3.

    Talairach J, & Tournoux P: Co-Planar Stereotaxic Atlas of the Human Brain. New York: Thieme, 1988, pp 12 Talairach J, Tournoux P: Co-Planar Stereotaxic Atlas of the Human Brain. New York: Thieme, 1988, pp 1–2

    • Search Google Scholar
    • Export Citation

Metrics

All Time Past Year Past 30 Days
Abstract Views 470 94 10
Full Text Views 143 5 0
PDF Downloads 156 7 0
EPUB Downloads 0 0 0