6533b822fe1ef96bd127cb7b
RESEARCH PRODUCT
Tensor product multiresolution analysis with error control for compact image representation
Francesc AràndigaSergio AmatRosa DonatAlbert Cohensubject
Discrete mathematicsMultiresolution analysisMathematicsofComputing_NUMERICALANALYSISWavelet transformImage processingReal imageThresholdingTensor productControl and Systems EngineeringSignal ProcessingComputer Vision and Pattern RecognitionElectrical and Electronic EngineeringChange of basisAlgorithmSoftwareMathematicsImage compressiondescription
A class of multiresolution representations based on nonlinear prediction is studied in the multivariate context based on tensor product strategies. In contrast to standard linear wavelet transforms, these representations cannot be thought of as a change of basis, and the error induced by thresholding or quantizing the coefficients requires a different analysis. We propose specific error control algorithms which ensure a prescribed accuracy in various norms when performing such operations on the coefficients. These algorithms are compared with standard thresholding, for synthetic and real images.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2002-04-01 | Signal Processing |