Nonseparable two- and three-dimensional wavelets
نویسندگان
چکیده
منابع مشابه
Tomographic reconstruction using nonseparable wavelets
In this paper, the use of nonseparable wavelets for tomographic reconstruction is investigated. Local tomography is also presented. The algorithm computes both the quincunx approximation and detail coefficients of a function from its projections. Simulation results showed that nonseparable wavelets provide a reconstruction improvement versus separable wavelets.
متن کاملParameterization for Bivariate Nonseparable Wavelets
In this paper, we give a complete and simple parameterization for bivariate non-separable compactly supported orthonormal wavelets based on the commonly used uniform dilation matrix = 0 1 2 0 D Key-Words: Wavelets, Nonseparable, Bivariate, Parameterization
متن کاملNonseparable two-dimensional fractional fourier transform.
Previous generalizations of the fractional Fourier transform to two dimensions assumed separable kernels. We present a nonseparable definition for the two-dimensional fractional Fourier transform that includes the separable definition as a special case. Its digital and optical implementations are presented. The usefulness of the nonseparable transform is justified with an image-restoration exam...
متن کاملNonseparable sampling theorems for two-dimensional signals
It is well-known that continuous time bandlimited signals can be sampled without creating aliasing if the sampling period is small enough. It is also known that if s(t) is a bandpass signal, the passbands of X ( n ) must be located properly for aliasfree maximal sampling. Similar situations arise in discrete time case. This paper addresses these issues for two-dimensional (2D) oneand two-parall...
متن کاملBivariate (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...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: IEEE Transactions on Signal Processing
سال: 1995
ISSN: 1053-587X
DOI: 10.1109/78.382414