A framework for modeling and predicting anatomical deformations is presente
d, and tested on simulated images. Although a variety of deformations can b
e modeled in this framework, emphasis is placed on surgical planning, and p
articularly on modeling and predicting changes of anatomy between preoperat
ive and intraoperative positions, as well as on deformations induced by tum
or growth. Two methods are examined. The first is purely shape-based and ut
ilizes the principal modes of co-variation between anatomy and deformation
in order to statistically represent deformability. When a patient's anatomy
is available, it is used in conjunction with the statistical model to pred
ict the way in which the anatomy will/can deform. The second method is rela
ted, and it uses the statistical model in conjunction with a biomechanical
model of anatomical deformation. It examines the principal modes of co-vari
ation between shape and forces, with the latter driving the biomechanical m
odel, and thus predicting deformation. Results are shown on simulated image
s, demonstrating that systematic deformations, such as those resulting from
change in position or from tumor growth, can be estimated very well using
these models. Estimation accuracy will depend on the application, and parti
cularly on how systematic a deformation of interest is.