This paper proposes Principal Component Analysis (PCA) to find adaptive bases for multiresolution. An input image is decomposed into components (compressed images) which are uncorrelated and have maximum l2 energy. With only minor modification, a single layer linear network using the Generalized Hebbian Algorithm (GHA) is used for multiresolution PCA. The decomposition has been successfully app...

The n-gram analysis technique breaks up a text document into several n-character long unique grams, and produces a vector whose components are the counts of these grams. A typical corpus contains hundreds of thousands of such grams. Wavelet compression reduces the dimension of the n-gram vectors, and speeds up document query operations. Document vectors with their dimensions reduced to four com...

The wavelet representation using orthonormal wavelet bases has received widespread attention. Recently M-band orthonormal wavelet bases have been constructed and compactly supported M-band wavelets have been parameterized 15, 12, 32, 17]. This paper gives the theory and algorithms for obtaining the optimal wavelet multiresolution analysis for the representation of a given signal at a predetermi...

Quantitative analysis of urban reflectance characteristics can provide insights into the spatial and temporal variations in urban reflectance that modulate solar energy fluxes through the urban environment. Characterization of urban reflectance may also facilitate development of algorithms for classification of urban landcover. The characteristic scale of urban reflectance variations is general...

Recently, multiresolution analysis and wavelets have had a great impact on computer algorithm design, chieey in the areas of signal processing and compression, computer graphics, and numeric optimization algorithms. Of the algorithms that have beneetted, Meyers mul-tiresolution polygon tiling algorithm is unique in that it solves a combinatorial optimization problem. This paper suggests a gener...

The concept of multiresolution analysis applied to irregular meshes has become more and more important. Previous contributions proposed a variety of methods using simplification and/or subdivision algorithms to build a mesh pyramid. In this paper, we propose a multiresolution analysis framework for irregular meshes with attributes. Our framework is based on simplification and subdivision algori...