论文信息 - Image Approximation by Adaptive Tetrolet Transform

Image Approximation by Adaptive Tetrolet Transform

In order to get an efficient image representation we introduce a new adaptive Haar wavelet transform, calledTetrolet Transform. Tetrolets are Haar-type wavelets whose supports are tetrominoes which are shapes made by connecting four equal-sized squares. The corresponding filter bank algorithm is simple but enormously effective. Numerical results show the strong efficiency of the tetrolet transform for image compression.

Jens Krommweh

[1] Jens Krommweh,et al. Tetrolet transform: A new adaptive Haar wavelet algorithm for sparse image representation , 2010, J. Vis. Commun. Image Represent..

[2] Stéphane Mallat,et al. Sparse geometric image representations with bandelets , 2005, IEEE Transactions on Image Processing.

[3] D. Donoho. Wedgelets: nearly minimax estimation of edges , 1999 .

[4] Demetrio Labate,et al. Optimally Sparse Multidimensional Representation Using Shearlets , 2007, SIAM J. Math. Anal..

[5] E. Candès,et al. New tight frames of curvelets and optimal representations of objects with piecewise C2 singularities , 2004 .

[6] G. Plonka. The Easy Path Wavelet Transform: A New Adaptive Wavelet Transform for Sparse Representation of Two-Dimensional Data , 2009 .

[7] Baltasar Beferull-Lozano,et al. Directionlets: anisotropic multidirectional representation with separable filtering , 2006, IEEE Transactions on Image Processing.

[8] Minh N. Do,et al. Ieee Transactions on Image Processing the Contourlet Transform: an Efficient Directional Multiresolution Image Representation , 2022 .