Основні поняття
A novel Fourier domain algorithm is presented for efficient and stable reconstruction of high dynamic range tomographic images from modulo Radon transform measurements, providing mathematical guarantees and advantages over previous spatial domain approaches.
Анотація
The content discusses a new Fourier domain approach for inverting the modulo Radon transform (MRT) to enable high dynamic range (HDR) tomography. The key highlights are:
The authors present a novel, non-sequential algorithm that directly works in the Fourier domain, in contrast to previous spatial domain approaches. This leads to several advantages:
Efficient algorithmic implementation with reduced computational complexity.
Compatibility with existing Fourier-based Radon transform reconstruction methods.
Agnostic to the modulo folding threshold, circumventing the need for ADC calibration.
The proposed algorithm is backed by mathematical guarantees, showing that it can achieve exact recovery of the Radon projections from the modulo Radon measurements at sampling rates above the Nyquist rate, which is a factor πe improvement over previous results.
Experiments using modulo ADC hardware validate the theoretical claims, demonstrating advantages such as recovery at much lower sampling rates, higher digital resolution or lower quantization noise, and empirical robustness to system noise and outliers.
The content provides a comprehensive treatment of the modulo Radon transform inversion problem, bridging the gap between theory and practice for efficient HDR tomographic imaging.
Статистика
The content does not provide any explicit numerical data or statistics to support the key claims. The focus is on the theoretical and algorithmic developments.
Цитати
The content does not contain any striking quotes that directly support the key logics.