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Differential leveling is a precise method in surveying used to determine the elevation difference between two points. Its primary goal is to establish accurate vertical measurements to create level surfaces or grade lines critical for designing and constructing infrastructures such as roads, bridges, and buildings.The procedure for differential leveling begins with setting up and leveling the instrument at a point where the benchmark can be seen. The level rod is held on the benchmark (BM), and...
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Related Experiment Video

Updated: May 18, 2026

Integrated Photoacoustic, Ultrasound, and Angiographic Tomography (PAUSAT) for NonInvasive Whole-Brain Imaging of Ischemic Stroke
06:45

Integrated Photoacoustic, Ultrasound, and Angiographic Tomography (PAUSAT) for NonInvasive Whole-Brain Imaging of Ischemic Stroke

Published on: June 2, 2023

Total variation based gradient descent algorithm for sparse-view photoacoustic image reconstruction.

Yan Zhang1, Yuanyuan Wang, Chen Zhang

  • 1Department of Electronics Engineering, Fudan University, Shanghai 200437, China.

Ultrasonics
|September 19, 2012
PubMed
Summary

A new Total Variation based Gradient Descent (TV-GD) algorithm improves sparse-view photoacoustic imaging (PAI) reconstruction. This method enhances image quality and offers a practical solution for real-time PAI applications.

Related Experiment Videos

Last Updated: May 18, 2026

Integrated Photoacoustic, Ultrasound, and Angiographic Tomography (PAUSAT) for NonInvasive Whole-Brain Imaging of Ischemic Stroke
06:45

Integrated Photoacoustic, Ultrasound, and Angiographic Tomography (PAUSAT) for NonInvasive Whole-Brain Imaging of Ischemic Stroke

Published on: June 2, 2023

Area of Science:

  • Medical Imaging
  • Biomedical Engineering
  • Optics and Photonics

Background:

  • Sparse-view sampling in photoacoustic imaging (PAI) poses challenges for real-time reconstruction.
  • Existing reconstruction algorithms struggle with limited data, impacting image fidelity.

Purpose of the Study:

  • To develop and validate a novel Total Variation based Gradient Descent (TV-GD) algorithm for sparse-view PAI reconstruction.
  • To enhance the accuracy and efficiency of PAI image reconstruction from limited angular data.

Main Methods:

  • Incorporation of Total Variation (TV) minimization into a gradient descent framework for PAI reconstruction.
  • Modification of the objective function to include the TV of the reconstructed image.
  • Individual processing of photoacoustic data at each detection point to avoid large matrix computations.

Main Results:

  • Numerical simulations demonstrated superior performance of the TV-GD algorithm compared to existing PAI reconstruction methods.
  • Reconstructed images achieved higher Peak Signal-to-Noise Ratios (PSNR).
  • In vitro experiments confirmed the practical efficiency and improved performance of the TV-GD algorithm.

Conclusions:

  • The proposed TV-GD algorithm offers a practical and efficient solution for sparse-view PAI reconstruction.
  • The method demonstrates robustness to noise and tunable parameters, suitable for real-time applications.
  • This advancement has the potential to improve diagnostic capabilities in PAI.