English

Sampling and resolution in sparse view photoacoustic tomography

Numerical Analysis 2023-10-17 v1 Numerical Analysis Image and Video Processing
Authors: Markus Haltmeier , Daniel Obmann , Karoline Felbermayer , Florian Hinterleitner , Peter Burgholzer
View on arXiv ↗ PDF ↗

Abstract

We investigate resolution in photoacoustic tomography (PAT). Using Shannon theory, we investigate the theoretical resolution limit of sparse view PAT theoretically, and empirically demonstrate that all reconstruction methods used exceed this limit.

Cite

@article{arxiv.2310.09447,
  title  = {Sampling and resolution in sparse view photoacoustic tomography},
  author = {Markus Haltmeier and Daniel Obmann and Karoline Felbermayer and Florian Hinterleitner and Peter Burgholzer},
  journal= {arXiv preprint arXiv:2310.09447},
  year   = {2023}
}

Related papers

View all related →
Medical Physics · Physics
Score-Based Diffusion Models for Photoacoustic Tomography Image Reconstruction
Sreemanti Dey, Snigdha Saha, Berthy T. Feng, Manxiu Cui +4
2024-04-02
Analysis of PDEs · Mathematics
Reconstruction Formulas for Photoacoustic Sectional Imaging
Peter Elbau, Otmar Scherzer, Rainer Schulze
2015-05-30
Analysis of PDEs · Mathematics
Analysis for Full Field Photoacoustic Tomography with Variable Sound Speed
Linh V. Nguyen, Markus Haltmeier, Richard Kowar, Ngoc Do
2021-12-07
Image and Video Processing · Electrical Eng. & Systems
Sparse-view Signal-domain Photoacoustic Tomography Reconstruction Method Based on Neural Representation
Bowei Yao, Yi Zeng, Haizhao Dai, Qing Wu +5
2024-06-26
Numerical Analysis · Mathematics
Image reconstruction in quantitative photoacoustic tomography with the simplified $P_2$ approximation
Christina Frederick, Kui Ren, Sarah Vallélian
2019-08-07
Analysis of PDEs · Mathematics
Photo-acoustic tomography in a rotating measurement setting
Guillaume Bal, Amir Moradifam
2016-09-21
Computer Vision and Pattern Recognition · Computer Science
Deep Learning for Photoacoustic Tomography from Sparse Data
Stephan Antholzer, Markus Haltmeier, Johannes Schwab
2018-08-31
Numerical Analysis · Mathematics
Characterizing impacts of model uncertainties in quantitative photoacoustics
Kui Ren, Sarah Vallélian
2018-12-10
Quantum Physics · Physics
Passive optical superresolution at the quantum limit
A. I. Lvovsky, Michael R. Grace, Saikat Guha, Mankei Tsang +2
2026-05-12
Numerical Analysis · Mathematics
Photoacoustic tomography with time-dependent damping: Theoretical and a convolutional neural network-guided numerical inversion procedure
Sunghwan Moon, Anwesa Dey, Souvik Roy
2026-03-27
Optimization and Control · Mathematics
A sparsity-based nonlinear reconstruction method for two-photon photoacoustic tomography
Madhu Gupta, Rohit Kumar Mishra, Souvik Roy
2020-06-30
Image and Video Processing · Electrical Eng. & Systems
Towards robust quantitative photoacoustic tomography via learned iterative methods
Anssi Manninen, Janek Gröhl, Felix Lucka, Andreas Hauptmann
2026-04-24
Numerical Analysis · Mathematics
Quantitative PAT with simplified $P_N$ approximation
Hongkai Zhao, Yimin Zhong
2021-05-26
Image and Video Processing · Electrical Eng. & Systems
PAT image reconstruction using augmented sparsity regularization with practicable tuning of regularization weight
Nadaparambil Aravindakshan Rejesh, Muthuvel Arigovindan
2021-05-20
Numerical Analysis · Mathematics
Evaluation of Adjoint Methods in Photoacoustic Tomography with Under-Sampled Sensors
Hongxiang Lin, Takashi Azuma, Mehmet Burcin Unlu, Shu Takagi
2018-06-25
Medical Physics · Physics
A survey of computational frameworks for solving the acoustic inverse problem in three-dimensional photoacoustic computed tomography
Joemini Poudel, Yang Lou, Mark A. Anastasio
2019-05-13
Numerical Analysis · Mathematics
Accelerated High-Resolution Photoacoustic Tomography via Compressed Sensing
Simon Arridge, Paul Beard, Marta Betcke, Ben Cox +4
2016-12-21
Image and Video Processing · Electrical Eng. & Systems
Super-temporal-resolution Photoacoustic Imaging with Dynamic Reconstruction through Implicit Neural Representation in Sparse-view
Youshen Xiao, Yiling Shi, Ruixi Sun, Hongjiang Wei +2
2025-06-05
Analysis of PDEs · Mathematics
Compressed sensing photoacoustic tomography reduces to compressed sensing for undersampled Fourier measurements
Giovanni S. Alberti, Paolo Campodonico, Matteo Santacesaria
2021-07-27
Information Theory · Computer Science
Sampling and Super-resolution of Sparse Signals Beyond the Fourier Domain
Ayush Bhandari, Yonina C. Eldar
2019-02-20
Computer Vision and Pattern Recognition · Computer Science
Score-based Generative Models for Photoacoustic Image Reconstruction with Rotation Consistency Constraints
Shangqing Tong, Hengrong Lan, Liming Nie, Jianwen Luo +1
2023-06-27
Image and Video Processing · Electrical Eng. & Systems
Limited View and Sparse Photoacoustic Tomography for Neuroimaging with Deep Learning
Steven Guan, Amir A. Khan, Siddhartha Sikdar, Parag V. Chitnis
2020-06-30
Medical Physics · Physics
Tattoo tomography: Freehand 3D photoacoustic image reconstruction with an optical pattern
Niklas Holzwarth, Melanie Schellenberg, Janek Gröhl, Kris Dreher +5
2020-11-12
Numerical Analysis · Mathematics
A New Sparsification and Reconstruction Strategy for Compressed Sensing Photoacoustic Tomography
Markus Haltmeier, Michael Sandbichler, Thomas Berer, Johannes Bauer-Marschallinger +2
2018-08-01
Quantum Physics · Physics
Sparse Reconstruction for Radar Imaging based on Quantum Algorithms
Xiaowen Liu, Chen Dong, Ying Luo, Le Kang +2
2022-01-05
R2 v1 2026-06-28T12:50:27.162Z