Parametric Representation of Anatomical Structures of the Human Body by Means of Trigonometric Interpolating Sums
✍ Scribed by J.C. Jimenez; R. Biscay; E. Aubet
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 368 KB
- Volume
- 126
- Category
- Article
- ISSN
- 0021-9991
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✦ Synopsis
applications where higher order continuity of the representation is required.
An approach for the parametric representation of anatomical structures of the human body by means of trigonometric interpolat-An alternative approach for the representation of geoing sums (TIS) is introduced. This representation is constructed on metric objects is the use of trigonometric interpolating the basis of the geometric information provided by medical digital sums (TIS) [1, 3,13, 15, 17,23], which has well-known images and an arbitrarily chosen system of curvilinear coordinates.
advantages. It gives parametric and explicit representa-
The parameterization defined by these coordinates is approximated tions (i.e., analytic parameterizations) which can be used through TIS by using a multidimensional extension of the Lancoas a basis, not only for picture processing, but also for zos's method for accelerating the convergence of trigonometric approximations for smooth, nonperiodic functions. This allows us to mathematical analysis. There are efficient algorithms for obtain accurate representations for a wide class of anatomical structheir computation, namely, the fast Fourier transforms. tures, including nonclosed ones. An upper bound of the approxima-Also, they allow for a simple control of the trade-off betion error is derived in the sense of the supremum norm. The recontween representation accuracy and computational cost struction of a human face and the surface of a brain cortex are through the selection of the number and location of the shown as illustrative examples of the parameterization by means of TIS.