Parametric representation of anatomical structures of the human body by means of trigonometric interpolating sums
- Centro de Neurociencias de Cuba, La Habana (Cuba)
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 arbitrarily chosen system of curvilinear coordinates. The parameterization defined by these coordinates is approximated through TIS by using a multidimensional extension of the Lancozos`s method for accelerating the convergence of trigonometric approximations for smooth, nonperiodic functions. This allows us to obtain accurate representations for a wide class of anatomical structures, including nonclosed ones. An upper bound 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 cortex are shown as illustrative examples of the parameterization by means of TIS. 23 refs., 2 figs.
- OSTI ID:
- 447027
- Journal Information:
- Journal of Computational Physics, Vol. 126, Issue 2; Other Information: PBD: Jul 1996
- Country of Publication:
- United States
- Language:
- English
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