Wavelet bases on a triangle

Biorthogonal multiresolution analysis on a triangle and applications

We present in this paper new constructions of biorthogonal multiresolution analysis on the triangle ∆. We use direct method based on the tensor product to construct dual scaling spaces on ∆. Next, we construct the associated wavelet spaces and we prove that the associated wavelets have compact support and preserve the original regularity. Finally, we describe some regular results which are very...

Constructing Two-Dimensional Multi-Wavelet for Solving Two-Dimensional Fredholm Integral Equations

In this paper, a two-dimensional multi-wavelet is constructed in terms of Chebyshev polynomials. The constructed multi-wavelet is an orthonormal basis for space. By discretizing two-dimensional Fredholm integral equation reduce to a algebraic system. The obtained system is solved by the Galerkin method in the subspace of by using two-dimensional multi-wavelet bases. Because the bases of subs...

Construction of Compactly Supported Nonseparable Orthogonal Wavelets of L^2(R^n)

Motion estimation and compensation in the redundant-wavelet domain using triangle meshes

In this paper, a technique is presented that incorporates an irregular triangle mesh into wavelet-domain motion estimation and compensation using a shift-invariant redundant wavelet transform. The main contribution of this work resides in a demonstration that triangle-mesh motion estimation and compensation can be deployed more effectively in the redundant-wavelet domain thanks to a simple corr...

Fast similarity search on video signatures

Video signatures are compact representations of video sequences designed for efficient similarity measurement. In this paper, we propose a feature extraction technique to support fast similarity search on large databases of video signatures. Our proposed technique transforms the high dimensional video signatures into low dimensional vectors where similarity search can be efficiently performed. ...