Choosing the Best Interpolation Data in Images with Noise

نویسندگان

چکیده

We introduce and discuss shape based models for finding the best interpolation data in compression of images with noise. The aim is to reconstruct missing regions by means minimizing fitting term $L^2$-norm between their reconstructed counterparts. analyse proposed framework $\Gamma$-convergence from two different points view. First, we consider a continuous stationary PDE model get pointwise information on relevance each pixel topological asymptotic method. Second, finite dimensional setting into fat pixels (balls positive radius), study asymptotics when radius vanishes. extend method time-dependent reconstruction several strategies choosing within masks that might be improved over iterations. Numerical computations are presented confirm usefulness our theoretical findings non-stationary PDE-based image compression.

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ژورنال

عنوان ژورنال: Social Science Research Network

سال: 2021

ISSN: ['1556-5068']

DOI: https://doi.org/10.2139/ssrn.3959650