Denoising-based image reconstruction from pixels located at non-integer positions
J\'an Koloda, J\"urgen Seiler, Andr\'e Kaup

TL;DR
This paper introduces a novel method for reconstructing images from pixels at non-integer positions using triangulation and adaptive denoising, significantly improving image quality in such scenarios.
Contribution
It presents a new triangulation-based initial estimate combined with an adaptive denoising framework for better image reconstruction from non-integer pixel locations.
Findings
Achieves up to 1.8 dB PSNR improvement over initial estimates.
Demonstrates effectiveness in reconstructing images with non-integer pixel positions.
Provides a robust approach for image processing operations like rotation.
Abstract
Digital images are commonly represented as regular 2D arrays, so pixels are organized in form of a matrix addressed by integers. However, there are many image processing operations, such as rotation or motion compensation, that produce pixels at non-integer positions. Typically, image reconstruction techniques cannot handle samples at non-integer positions. In this paper, we propose to use triangulation-based reconstruction as initial estimate that is later refined by a novel adaptive denoising framework. Simulations reveal that improvements of up to more than 1.8 dB (in terms of PSNR) are achieved with respect to the initial estimate.
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