HDR Imaging With One-Bit Quantization

TL;DR

This paper extends the UNO sampling framework to non-bandlimited signals in HDR imaging, proposing a novel recovery algorithm and conditions that enable high-quality image reconstruction from one-bit modulo samples.

Contribution

It introduces a new approach for HDR imaging using one-bit modulo sampling, expanding UNO's applicability to non-bandlimited signals in spline spaces.

Findings

Effective image recovery demonstrated in numerical experiments

New sufficient condition for perfect signal reconstruction

Enhanced HDR imaging quality from one-bit samples

Abstract

Modulo sampling and dithered one-bit quantization frameworks have emerged as promising solutions to overcome the limitations of traditional analog-to-digital converters (ADCs) and sensors. Modulo sampling, with its high-resolution approach utilizing modulo ADCs, offers an unlimited dynamic range, while dithered one-bit quantization offers cost-efficiency and reduced power consumption while operating at elevated sampling rates. Our goal is to explore the synergies between these two techniques, leveraging their unique advantages, and to apply them to non-bandlimited signals within spline spaces. One noteworthy application of these signals lies in High Dynamic Range (HDR) imaging. In this paper, we expand upon the Unlimited One-Bit (UNO) sampling framework, initially conceived for bandlimited signals, to encompass non-bandlimited signals found in the context of HDR imaging. We present a novel algorithm rigorously examined for its ability to recover images from one-bit modulo samples. Additionally, we introduce a sufficient condition specifically designed for UNO sampling to perfectly recover non-bandlimited signals within spline spaces. Our numerical results vividly demonstrate the effectiveness of UNO sampling in the realm of HDR imaging.