In recent years, several authors have reported that spectral saliency detection methods provide state-of-the-art performance in predicting human gaze in images (see, e.g., [1 3]). We systematically integrate and evaluate quaternion DCTand FFT-based spectral saliency detection [3,4], weighted quaternion color space components [5], and the use of multiple resolutions [1]. Furthermore, we propose ...

Abstract. This paper introduces a fast algorithm for the energy space boson Boltzmann collision operator. Compared to the direct O(N3) calculation and the previous O(N2 logN) method [Markowich and Pareschi, 2005], the new algorithm runs in complexity O(N log N), which is optimal up to a logarithmic factor (N is the number of grid points in energy space). The basic idea is to partition the 3-D s...

A new method for finding the rotation angle in iris images for biometric identification is presented in this paper. The proposed approach is based on Fourier descriptors analysis and algebraic properties of vector rotation in complex space.

A function f (X 1 ; X 2 ; : : : ; X n) is said to be t th-order correlation-immune if the ran-ally, if all possible outputs are equally likely, then f is called a t ?resilient function. In this paper, we provide three diierent characterizations of t th-order correlation immune functions and resilient functions where the random variable is over GF (q). The rst is in terms of the structure of a c...

The Euler transformation is a linear sequence transformation to accelerate the convergence of an alternating series. The sequence of weights of the transformation is extended to a continuous weight function which can accelerate Fourier type integrals including Hankel transforms with a slowly convergent integrand. We show that the continuous weight function can also be used to compute the Fourie...

We introduce a tractable multi-currency model with stochastic volatility and correlated stochastic interest rates that takes into account the smile in the FX market and the evolution of yield curves. The pricing of vanilla options on FX rates can be efficiently performed through the FFT methodology thanks to the affine property of the model. Our framework is also able to describe many non trivi...

A major application of the FFT is fast convolution or fast ltering where the DFT of the signal is multiplied term-by-term by the DFT of the impulse (helps to be doing nite impulse response (FIR) ltering) and the time-domain output is obtained by taking the inverse DFT of that product. What is less well-known is the DFT can be calculated by convolution. There are several di erent approaches to t...