Vector-Valued Image Regularization with PDEs: A Common Framework for Different Applications

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Vector-Valued Image Regularization with PDEs: A Common Framework for Different Applications (2003)

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by David Tschumperlé , R. Deriche

Venue:	IEEE Transactions on Pattern Analysis and Machine Intelligence
Citations:	181 - 8 self

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@INPROCEEDINGS{Tschumperlé03vector-valuedimage,
    author = {David Tschumperlé and R. Deriche},
    title = {Vector-Valued Image Regularization with PDEs: A Common Framework for Different Applications},
    booktitle = {IEEE Transactions on Pattern Analysis and Machine Intelligence},
    year = {2003},
    pages = {506--517}
}

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Abstract

We address the problem of vector-valued image regularization with variational methods and PDE's. From the study of existing formalisms, we propose a unifying framework based on a very local interpretation of the regularization processes. The resulting equations are then specialized into new regularization PDE's and corresponding numerical schemes that respect the local geometry of vector-valued images. They are finally applied on a wide variety of image processing problems, including color image restoration, inpainting, magnification and flow visualization.

Keyphrases

vector-valued image regularization different application common framework image processing problem color image restoration local geometry unifying framework wide variety vector-valued image resulting equation new regularization pde flow visualization local interpretation variational method numerical scheme

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