V. M. Sloutsky and A. V. Fisher reported 5 experiments documenting relations among categorization, induction, recognition, and similarity in children as well as adults and proposed a new model of induction, SINC (similarity, induction, categorization). Those authors concluded that induction depends on perceptual similarity rather than conceptual knowledge. Despite the useful contributions of th...

This work proposes k-space filters with the option to fine-tune filter's strength. The application is in MRI imaging. novelty of this paper multiplication filtering functions by Sinc Function so as obtain Sinc-shaped convolving function. effect visible where a central region formed and it acts filter. Worth noting Figure 12 finesse high-frequency components depicted intensity-curvature function...

Recently we have reported a new method of rational approximation the sinc function obtained by sampling and Fourier transforms. However, this requires trigonometric multiplier that originates from shifting property transform. In work show how to represent transform $f(t)$ in form ratio two polynomials without any multiplier. A MATLAB code showing algorithmic implementation proposed for is prese...

We consider the reconstruction of a bandlimited function from its finite localized sample data. Truncating the classical Shannon sampling series results in an unsatisfactory convergence rate due to the slow decayness of the sinc function. To overcome this drawback, a simple and highly effective method, called the Gaussian regularization of the Shannon series, was proposed in engineering and has...

We prove that the Toeplitz binary value matrix inversion associated with mth order E-spline interpolation can be implemented using only 2 (m + 1) additions. We develop pipelined architectures for real time B-spline interpolation based on simple running average filters. We also show that an ideal interpolating function, which is approximated by a truncated sinc function with M half cycles, can b...

A quick and accurate way to rotate and shift nuclear magnetic resonance (NMR) images using the two-dimensional chirp-z transform is presented. When the desired image grid is rotated and shifted from the original grid due to patient motion, the chirp-z transform can reconstruct NMR images directly onto the ultimate grid instead of reconstructing onto the original grid and then applying interpola...

We present a method to solve the Helmholtz equation for a non-homogeneous membrane with Dirichlet boundary conditions at the border of arbitrary two-dimensional domains. The method uses a collocation approach based on a set of localized functions, called ”little sinc functions”, which are used to discretize two-dimensional regions. We have performed extensive numerical tests and we have compare...