In Medical Image Computing and Computer-Assisted Intervention – MICCAI 1999, C. Taylor and A. Colchester (eds.), vol. 1679 of Lecture Notes in Computer Science, Springer-Verlag, Berlin, 1999, pp. 210–217. Abstract. Interpolation is required in many medical image processing operations. From sampling theory, it follows that the ideal interpolation kernel is the sinc function, which is of infinite...

Sinc< I ~H7. the beam of the syndlfo·cyclotron is tunned and adapted Ii" medical treatments. 11,e first eye treatment was realized in 1991 and Irom this date the Centre de Protontherapie d'Orsay (C.I' .O.) accumulates experience for the beam control. Beside the classical discussions on the parameters settings "fthe machine and the beamline. the "wrall problem of accuracy of the beam must also t...

A classical approach to interpolation of sampled data is polynomial interpolation. However, from the sampling theorem it follows that the ideal approach to interpolation is to convolve the given samples with the sinc function. In this paper we study the properties of the sinc-approximating kernels that can be derived from the Lagrange central interpolation scheme. Both the finite-extent propert...

A popular technique for time delay estimation is to use an FIR #lter to model the time di-erence and the #lter weights are interpolated with a sinc function to obtain the delay estimate. However, the sinc interpolator requires a su/ciently long #lter length for accurate delay estimation. In this paper, we propose to process the #lter weights via a least-squares-based method in order to acquire ...

‎This paper provides the fractional derivatives of‎ ‎the Caputo type for the sinc functions‎. ‎It allows to use efficient‎ ‎numerical method for solving fractional differential equations‎. ‎At‎ ‎first‎, ‎some properties of the sinc functions and Legendre‎ ‎polynomials required for our subsequent development are given‎. ‎Then‎ ‎we use the Legendre polynomials to approximate the fractional‎ ‎deri...

A lower bound on the sinc function is given. Application for the sequence {b(n)}(n=1)(∞) which related to Carleman inequality is given as well.