Color Image Analysis by Quaternion-Type Moments

International audienceIn this paper, by using the quaternion algebra, the conventional complex-type moments (CTMs) for gray-scale images are generalized to color images as quaternion-type moments (QTMs) in a holistic manner. We first provide a general formula of QTMs from which we derive a set of quaternion-valued QTM invariants (QTMIs) to image rotation, scale and translation transformations by eliminating the influence of transformation parameters. An efficient computation algorithm is also proposed so as to reduce computational complexity. The performance of the proposed QTMs and QTMIs are evaluated considering several application frameworks ranging from color image reconstruction, face recognition to image registration. We show they achieve better performance than CTMs and CTM invariants (CTMIs). We also discuss the choice of the unit pure quaternion influence with the help of experiments. appears to be an optimal choice

Digital Filters and Signal Processing

Digital filters, together with signal processing, are being employed in the new technologies and information systems, and are implemented in different areas and applications. Digital filters and signal processing are used with no costs and they can be adapted to different cases with great flexibility and reliability. This book presents advanced developments in digital filters and signal process methods covering different cases studies. They present the main essence of the subject, with the principal approaches to the most recent mathematical models that are being employed worldwide

Wavelet Theory

The wavelet is a powerful mathematical tool that plays an important role in science and technology. This book looks at some of the most creative and popular applications of wavelets including biomedical signal processing, image processing, communication signal processing, Internet of Things (IoT), acoustical signal processing, financial market data analysis, energy and power management, and COVID-19 pandemic measurements and calculations. The editor’s personal interest is the application of wavelet transform to identify time domain changes on signals and corresponding frequency components and in improving power amplifier behavior

Feature Extraction Methods for Character Recognition

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High-resolution algorithms for the reconstruction of the equivalent currents of an antenna by means of modal theory and a priori information

El objetivo del diagnóstico de antenas es la detección de errores en antena fabricadas. Dado que este diagnóstico es difícil de realizar simplemente observando medidas de campo, el diagnóstico se realiza usando las corrientes equivalentes reconstruidas en una superficie próxima a la antena. Esta tesis describe las diferentes posibilidades de realizar esta reconstrucción en una superficie plana a partir de medidas esféricas en campo próximo. En concreto, se estudian extensivamente, y se aplican a situaciones reales, las técnicas de la expansión modal. El problema principal de las técnicas modales es la limitación en la resolución de las corrientes equivalentes. La razón de esta limitación es la pequeña región disponible del espectro de ondas planas (cuya transformada de Fourier son las corrientes equivalentes). En esta tesis se estudia este problema, se muestran varios ejemplos y se describen las posibilidades de mejorar la resolución. De entre estas posibilidades, se propone el uso de una técnica de extrapolación con la que estimar el espectro no visible a partir de la región conocida (el espectro visible) y de información adicional sobre la antena como, por ejemplo, el tamaño de la antena. Entre las diferentes técnicas de extrapolación, se describen y comparan las técnicas más usadas comúnmente. En primer lugar, se aplica el algoritmo iterativo de Papoulis-Gerchberg usando el tamaño y la forma de la antena. Después se describen las versiones directas de este algoritmo, es decir la matriz de extrapolación por filas y columnas y la matriz de extrapolación generalizada. Finalmente, se estudia la transformación PDFT y se compara con los algoritmos anteriores. Todas estas técnicas son aplicadas en situaciones reales con una importante mejora en la resolución. El último capítulo de esta tesis trata de los procedimientos de calibración de sonda. Estos procedimientos son especialmente importantes en el diagnóstico de antenas.Sánchez Escuderos, D. (2009). High-resolution algorithms for the reconstruction of the equivalent currents of an antenna by means of modal theory and a priori information [Tesis doctoral no publicada]. Universitat Politècnica de València. https://doi.org/10.4995/Thesis/10251/8323Palanci

Feature Extraction for image super-resolution using finite rate of innovation principles

To understand a real-world scene from several multiview pictures, it is necessary to find the disparities existing between each pair of images so that they are correctly related to one another. This process, called image registration, requires the extraction of some specific information about the scene. This is achieved by taking features out of the acquired images. Thus, the quality of the registration depends largely on the accuracy of the extracted features. Feature extraction can be formulated as a sampling problem for which perfect re- construction of the desired features is wanted. The recent sampling theory for signals with finite rate of innovation (FRI) and the B-spline theory offer an appropriate new frame- work for the extraction of features in real images. This thesis first focuses on extending the sampling theory for FRI signals to a multichannel case and then presents exact sampling results for two different types of image features used for registration: moments and edges. In the first part, it is shown that the geometric moments of an observed scene can be retrieved exactly from sampled images and used as global features for registration. The second part describes how edges can also be retrieved perfectly from sampled images for registration purposes. The proposed feature extraction schemes therefore allow in theory the exact registration of images. Indeed, various simulations show that the proposed extraction/registration methods overcome traditional ones, especially at low-resolution. These characteristics make such feature extraction techniques very appropriate for applications like image super-resolution for which a very precise registration is needed. The quality of the super-resolved images obtained using the proposed feature extraction meth- ods is improved by comparison with other approaches. Finally, the notion of polyphase components is used to adapt the image acquisition model to the characteristics of real digital cameras in order to run super-resolution experiments on real images