TL;DR: A comprehensive presentation of the conceptual basis of wavelet analysis, including the construction and analysis of wavelets bases, can be found in this article, along with a detailed exposition of the Haar series.
Abstract: This book provides a comprehensive presentation of the conceptual basis of wavelet analysis, including the construction and analysis of wavelet bases. It motivates the central ideas of wavelet theory by offering a detailed exposition of the Haar series, then shows how a more abstract approach allows readers to generalize and improve upon the Haar series. It then presents a number of variations and extensions of Haar construction.
TL;DR: An efficient numerical method for solution of nonlinear evolution equations based on the Haar wavelets approach is proposed and tested in the case of Burgers and sine-Gordon equations, demonstrating that the accuracy of theHaar wavelet solutions is quite high even in the cases of a small number of grid points.
TL;DR: Empirical results showed that the Haar+Adaboost method yields AU recognition rates comparable to those of the Gabor+SVM method but operates at least two orders of magnitude more quickly.
Abstract: We examined the effectiveness of using Haar features and the Adaboost boosting algorithm for FACS action unit (AU) recognition. We evaluated both recognition accuracy and processing time of this new approach compared to the state-of-the-art method of classifying Gabor responses with support vector machines. Empirical results on the Cohn-Kanade facial expression database showed that the Haar+Adaboost method yields AU recognition rates comparable to those of the Gabor+SVM method but operates at least two orders of magnitude more quickly.
TL;DR: In this paper, the effectiveness of using Haar features and the Adaboost boosting algorithm for FACS action unit (AU) recognition was examined. But, the Haar+Adaboost method yielded AU recognition rates comparable to those of the Gabor+SVM method but operates at least two orders of magnitude more quickly.
Abstract: We examined the effectiveness of using Haar features and the Adaboost boosting algorithm for FACS action unit (AU) recognition. We evaluated both recognition accuracy and processing time of this new approach compared to the state-of-the-art method of classifying Gabor responses with support vector machines. Empirical results on the Cohn-Kanade facial expression database showed that the Haar+Adaboost method yields AU recognition rates comparable to those of the Gabor+SVM method but operates at least two orders of magnitude more quickly.