Image representation and compression with steered Hermite transforms
Signal Processing
Computers and Electrical Engineering
A Novel Image Fusion Method Using Curvelet Transform Based on Linear Dependency Test
ICDIP '09 Proceedings of the International Conference on Digital Image Processing
Local orientation analysis in images by means of the Hermite transform
IEEE Transactions on Image Processing
Image quality assessment: from error visibility to structural similarity
IEEE Transactions on Image Processing
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The Hermite transform is introduced as an image representation model for multiresolution image fusion with noise reduction. Image fusion is achieved by combining the steered Hermite coefficients of the source images, then the coefficients are combined with a decision rule based on the linear algebra through a measurement of the linear dependence. The proposed algorithm has been tested on both multi-focus and multi-modal image sets producing results that exceed results achieved with other methods such as wavelets, curvelets [11], and contourlets [2] proving that our scheme best characterized important structures of the images at the same time that the noise was reduced.