PARAMETRIC REPRESENTATION OF ANATOMICAL STRUCTURES OF THE HUMAN-BODY BY MEANS OF TRIGONOMETRIC INTERPOLATING SUMS

An approach for the parametric representation of anatomical structures of the human body by means of trigonometric interpolating sums (TIS) is introduced. This representation is constructed on the basis of the geometric information provided by medical digital images and an arbitr arily chosen system of curvilinear coordinates. The parameterization d efined by these coordinates is approximated through TIS by using a mul tidimensional extension of the Lancozos's method for accelerating the convergence of trigonometric approximations for smooth, nonperiodic fu nctions. This allows us to obtain accurate representations for a wide class of anatomical structures, including nonclosed ones. An upper bou nd of the approximation error is derived in the sense of the supremum norm. The reconstruction of a human face and the surface of a brain co rtex are shown as illustrative examples of the parameterization by mea ns of TIS. (C) 1996 Academic Press, Inc.