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This paper presents a method for constructing flow fields with proper orthogonal decomposition (POD) basis functions or modes with great reduction on the computational cost. Using this approach, it is possible to construct the entire aerodynamic flow fields from the knowledge of computed aerodynamic data or measured flow data specified on the aerodynamic surfaces, demonstrating a way to effectively...
Recently, a new method that slow feature analysis (SFA), which can extract slowly varying feature of temporally varying signals, has been explored. SFA method is an extension of independent component analysis (ICA), which has been used to separate blind source signals. In this article, we present a simple and efficient SFA based method to separate blind signals according to their different smooth...
This paper proposes a new approach to blind image extraction. By using the property that most of near pixels are smooth, blind image extraction is formulated to a generalized eigen-decomposition problem. The key point of our method is the formulation of matrix pencil. Since the image is two dimensional, the values of a small patch are smooth. Based on this observation, two mixed signals are formulated...
A few adaptive algorithms for generalized eigen-decomposition have been proposed, which are very useful in many applications such as digital mobile communications, blind signal separation, etc. These algorithms are all focusing on extracting principal generalized eigenvectors. However, in many practical applications such as dimension reduction and signal processing, extracting the minor generalized...
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