Jp. Thirion et A. Gourdon, COMPUTING THE DIFFERENTIAL CHARACTERISTICS OF ISOINTENSITY SURFACES, Computer vision and image understanding, 61(2), 1995, pp. 190-202
Citations number
18
Categorie Soggetti
Computer Sciences, Special Topics","Computer Science Software Graphycs Programming
In this paper, we present a new method to compute the differential cha
racteristics of isointensity surfaces from three-dimensional images. W
e show applications where those differentials properties are used to e
xtract characteristic lines from 3D images, called crest lines. The cr
est lines extracted from different images of the same object are then
registered to demonstrate the precision and robustness of our computat
ion. Those experiments also show the direct correspondence between geo
metrical and anatomical features, for medical images. To compute the d
ifferential characteristics of surfaces, such as the principal curvatu
res, and directions, a traditional approach is to fit a parametric sur
face model to the 3D image and then to compute the differential charac
teristics of the surface in the local coordinate system. On the contra
ry, our method is based on the implicit representation of the surface,
and the differential values of the isointensity surfaces are directly
computed from the voxel image, without extracting any surface first.
In our method, the principal curvatures and directions equations have
been derived from the implicit functions theorem, leading to entirely
new formulas, which make use of only the differentials of the 3D image
, and which allow us to get rid of the problem of parametrizing the su
rfaces. (C) 1995 Academic Press, Inc.