Combinatorics

Pattern recognition (psychology)

Invariant (physics)

Pure mathematics

Mathematics

Mathematical physics

Convolution (computer science)

Kernel (algebra)

Algorithm

Philosophy

Artificial intelligence

Receptive field

Locality

Computer science

Linguistics

Computer vision

Artificial neural network

Affine transformation

Existing blind image super-resolution (SR) methods mostly assume blur kernels are spatially invariant across the whole image. However, such an assumption is rarely applicable for real images whose blur kernels are usually spatially variant due to factors such as object motion and out-of-focus. Hence, existing blind SR methods would inevitably give rise to poor performance in real applications. To address this issue, this paper proposes a mutual affine network (MANet) for spatially variant kernel estimation. Specifically, MANet has two distinctive features. First, it has a moderate receptive field so as to keep the locality of degradation. Second, it involves a new mutual affine convolution (MAConv) layer that enhances feature expressiveness without increasing receptive field, model size and computation burden. This is made possible through exploiting channel interdependence, which applies each channel split with an affine transformation module whose input are the rest channel splits. Extensive experiments on synthetic and real images show that the proposed MANet not only performs favorably for both spatially variant and invariant kernel estimation, but also leads to state-of-the-art blind SR performance when combined with non-blind SR methods.

Mutual Affine Network for Spatially Variant Kernel Estimation in Blind Image Super-Resolution