Frame Reconstruction Of The Laplacian Pyramid

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Frame Reconstruction Of The Laplacian Pyramid (2001)

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by Minh N. Do , Martin Vetterli

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BibTeX

@MISC{Do01framereconstruction,
    author = {Minh N. Do and Martin Vetterli},
    title = {Frame Reconstruction Of The Laplacian Pyramid},
    year = {2001}
}

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Abstract

We study the Laplacian pyramid (LP) as a frame operator, and this reveals that the usual reconstruction is suboptimal. With orthogonal filters, the LP is shown to be a tight frame, thus the optimal linear reconstruction using the dual frame operator has a simple structure as symmetrical with the forward transform. For more general cases, we propose an efficient filter bank for reconstruction in the LP that is shown to perform better than the usual method. Numerical results indicate that gains of more than 1 dB are actually achieved.

Keyphrases

laplacian pyramid frame reconstruction usual method optimal linear reconstruction frame operator usual reconstruction numerical result orthogonal filter general case forward transform efficient filter bank dual frame operator tight frame simple structure

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