Two-dimensional numerical fluid analysis using wavelets
نویسندگان
چکیده
منابع مشابه
Bivariate (Two-dimensional) Wavelets
Glossary Dilation matrix A 2× 2 matrix M is called a dilation matrix if all the entries of M are integers and all the eigenvalues of M are greater than one in modulus. Isotropic dilation matrix A dilation matrix M is said to be isotropic if M is similar to a diagonal matrix and all its eigenvalues have the same modulus. Wavelet system A wavelet system is a collection of square integrable functi...
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Notations For a real discrete-time filter whose impulse response is h[n], h̄[n] = h[−n], n ∈ Z is its timereversed version. The hat ˆ notation will be used for the Fourier transform of square-integrable signals. For a filter h, its z-transform is written H(z). The convolution product of two signals in l2(Z) will be written ∗. For the octave band wavelet representation, analysis (respectively, sy...
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We construct orthonormal wavelet bases of L2(IR) with compact support for dilation matrices of determinant 2. The key idea is to describe the set H2 of all two-dimensional (2D) scaling coefficients satisfying the orthogonality condition as an implicit function. This set includes the scaling coefficients for induced 1D wavelets. We compute the tangent space of H2 at HN , the scaling coefficients...
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ژورنال
عنوان ژورنال: Journal of the Visualization Society of Japan
سال: 2004
ISSN: 1884-037X,0916-4731
DOI: 10.3154/jvs.24.supplement1_97