Selecting Wavelet Basis Functions by AIC

Selecting among candidate basis functions by crosscorrelations

Wavelet Basis Functions for Precomputed Radiance Transfer

Precomputed Radiance Transfer (PRT) aims at computing global illumination effects such as soft shadows and object interreflection in realtime. This is accomplished by precomputing the factors of the Rendering Equation and projecting them into a suitable basis which allows to combine them efficiently at runtime. Several basis function have been proposed for PRT. Recently, Haar wavelets have been...

Wavelet basis functions in biomedical signal processing

Keywords: Biomedical signal processing Prosthetics Myoelectric control Psychophysiology Mother wavelet EMG EEG VPA Pattern recognition Daubechies (db 44) a b s t r a c t During the last two decades, wavelet transform has become a common signal processing technique in various areas. Selection of the most similar mother wavelet function has been a challenge for the application of wavelet transfor...

Bias-corrected AIC for selecting variables in Poisson regression models

ABSTRACT In the present paper, we consider the variable selection problem in Poisson regression models. Akaike’s information criterion (AIC) is the most commonly applied criterion for selecting variables. However, the bias of the AIC cannot be ignored, especially in small samples. We herein propose a new bias-corrected version of the AIC that is constructed by stochastic expansion of the maximu...

Adopting the Multiresolution Wavelet Analysis in Radial Basis Functions to Solve the Perona-Malik Equation

Wavelets and radial basis functions (RBF) have ubiquitously proved very successful to solve different forms of partial differential equations (PDE) using shifted basis functions, and as with the other meshless methods, they have been extensively used in scattered data interpolation. The current paper proposes a framework that successfully reconciles RBF and adaptive wavelet method to solve the ...