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arXiv · 1812.04042

Supervised Deep Kriging for Single-Image Super-Resolution

Gianni Franchi·Angela Yao·Andreas Kolb
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Abstract

We propose a novel single-image super-resolution approach based on the geostatistical method of kriging. Kriging is a zero-bias minimum-variance estimator that performs spatial interpolation based on a weighted average of known observations. Rather than solving for the kriging weights via the traditional method of inverting covariance matrices, we propose a supervised form in which we learn a deep network to generate said weights. We combine the kriging weight generation and kriging process into a joint network that can be learned end-to-end. Our network achieves competitive super-resolution results as other state-of-the-art methods. In addition, since the super-resolution process follows a known statistical framework, we are able to estimate bias and variance, something which is rarely possible for other deep networks.

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Gianni Franchi, Angela Yao, Andreas Kolb. 2018-12-10. Supervised Deep Kriging for Single-Image Super-Resolution. https://arxiv.org/abs/1812.04042

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