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Showing 1 to 7 of 7 for “"Multiwavelets"”.
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Multiwavelets--theory and applications
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1996.
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Image Compression Using Balanced Multiwavelets
… does not possess both properties simultaneously. Multiwavelets overcome this limitation; the multiwavelet transform allows orthogonality and symmetry to co-exist. However recently reported image compression results indicate that the scalar wavelets still outperform the multiwavelets in terms of …
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Galerkin boundary element methods with multiwavelets
… particularly at edges and corners. However, withmultiwavelets, an increase in the order of vanishing moments is obtained not by increasingthe support but by increasing the number of mother wavelets. In this thesis we areconcerned with multi wavelets. They have proved to be very efficient and …
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Applications of Multiwavelets to Image Compression
… properties. The relatively new field of multiwavelets shows promise in removing some of the limitations of wavelets. Multiwavelets offer more design options and hence can combine all desirable transform features. The few previously published results of multiwavelet-based image compression …
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Spatially adaptive multiwavelet representations on unstructured grids with applications to multidimensional computational modeling
… and prove the existence of a large class of multiwavelets in Rn with vanishing moments around corners that are well suited for complex geometries. These wavelets share all of the major advantages of conventional wavelets, in that they provide an analysis tool for studying data, functions and …
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The Nonexistence of Shearlet-Like Scaling Multifunctions that Satisfy Certain Minimally Desirable Properties and Characterizations of the Reproducing Properties of the Integer Lattice Translations of a Countable Collection of Square Integrable Functions
… is infinite, and the nonexistence of classical multiwavelets, when the dilation matrix is integral and has determinant 1 in absolute value. </p> <p>There is a well-known connection, via the Fourier transform, between smoothness and integral polynomial decay. In Chapter 4, we prove several …
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Wavelet-based Image Compression Using Human Visual System Models
Recent research in transform-based image compression has focused on the wavelet transform due to its superior performance over other transforms. Performance is often measured solely in terms of peak signal-to-noise ratio (PSNR) and compression algorithms are optimized for this quantitative metric. …