Hinting about causes of deformation: visual explorations of a novel inverse problem in medical imaging

Fred L. Bookstein; William D. K. Green

doi:10.1117/12.179243

8 July 1994 Hinting about causes of deformation: visual explorations of a novel inverse problem in medical imaging

Fred L. Bookstein, William D. K. Green

Proceedings Volume 2299, Mathematical Methods in Medical Imaging III; (1994) https://doi.org/10.1117/12.179243
Event: SPIE's 1994 International Symposium on Optics, Imaging, and Instrumentation, 1994, San Diego, CA, United States

Abstract

In previous papers in this series, we have extended the praxis of image warping by thin-plate splines to accord with information about edge direction and other features of affine derivatives at landmarks. It is interesting to consider the derived warp that is induced solely by the changes of edge induced by a landmark displacement. To the extent that this latter transformation resembles the former we may speak of the landmark displacement as a hypothetical `cause' of the change observed in the edge image, a cause to be estimated by an inverse regression between these energetically oblique subspaces. The apparent `scales' of these specifications are discrepant even when they agree in all large- scale features of deformation. We show how nontrivial regressions arise when edge-information is collinear with interlandmark segments. Other forms of affine constraints on mappings are not interchangeable with landmark displacements, but correspond rather to relationships among diverse subspaces of derivative specifications likewise apparently discrepant in scale and spatial localization. These derivative-constrained splines, which all arise as singular perturbations of the original landmark- driven spline, thereby supply a very flexible and diverse language of image changes to complement various current approaches emphasizing the tracking or `evolution' of features pertaining to single images.

Citation Download Citation

Fred L. Bookstein and William D. K. Green "Hinting about causes of deformation: visual explorations of a novel inverse problem in medical imaging", Proc. SPIE 2299, Mathematical Methods in Medical Imaging III, (8 July 1994); https://doi.org/10.1117/12.179243

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available