The discrete modal transform and its application to lossy image compression |
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| Affiliation: | 1. Department of Electronics and Computer Science, University of Santiago, Campus Sur s/n, 15782 Santiago de Compostela, Spain;2. Department of Computer Science, Escuela Superior de Ingeniería Informática, University of Vigo, Campus As Lagoas s/n, 32004 Ourense, Spain;3. Department of Radiology, University of Santiago de Compostela, Complejo Hospitalario Universitario de Santiago, C/San Francisco 1, 15782 Santiago, Spain;1. 333 Cory Hall, UC Berkeley, Berkeley, CA 94720, United States;2. 146 Coordinated Science Laboratory, 1308 W. Main St, Urbana, IL 61801, United States;3. 145 Coordinated Science Laboratory, 1308 W. Main St., Urbana, IL 61801, United States;4. 514 Cory Hall, UC Berkeley, Berkeley, CA 94720, United States |
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| Abstract: | This paper introduces the discrete modal transform (DMT), a 1D and 2D discrete, non-separable transform for signal processing, which, in the mathematical sense, is a generalization of the well-known discrete cosine transform (DCT). A 3D deformable surface model is used to represent the image intensity and the introduced discrete transform is a by-product of the explicit surface deformation governing equations. The properties of the proposed transform are similar to those of the DCT. To illustrate these properties, the proposed transform is applied to lossy image compression and the obtained results are compared to those of a DCT-based compression scheme. Experimental results show that DMT, which includes an embedded compression ratio selection mechanism, has excellent energy compaction properties and achieves comparable compression results to DCT at low compression ratios, while being in general better than DCT at high compression ratios. |
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