Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Surface Integrals of Vector Fields: Flux

Surface Integrals of Vector Fields: Flux

Understanding the movement of air masses is fundamental to meteorological analysis and atmospheric modeling. A key component in this process is quantifying the total mass of air that flows into or out of a defined region over a specified period of time. This is achieved by evaluating the mass flux across a boundary surface, a conceptual tool that simplifies the complex dynamics of atmospheric systems.To begin, an imaginary boundary surface S is introduced, enclosing the region of interest. The...

Applications of Integration to Find Blood Flow

Applications of Integration to Find Blood Flow

Blood flow through a cylindrical blood vessel can be mathematically described using the principles of laminar flow, a regime in which fluid moves smoothly in parallel layers. In this model, the velocity of the blood is not uniform across the cross-section of the vessel; rather, it varies with the radial distance from the center. The maximum velocity occurs along the central axis, decreasing progressively toward the vessel walls, where it reaches zero due to viscous drag.Approximating Blood...

Calculation of Electric Flux

Calculation of Electric Flux

Consider the electric field of an oppositely charged, parallel-plate system and an imaginary box between those plates. Let the bottom face of the box be ABCD, and the top face be FGHK. The electric field between the plates is uniform and points from the positive plate toward the negative plate. The calculation of this field's flux through the box's various faces shows that the net flux through the box is zero. Why does the flux cancel out here?

Divergence Theorem in 3D Space

Divergence Theorem in 3D Space

In vector calculus, flux measures the total flow of a vector field through a surface. For a closed surface in three-dimensional space, this means measuring how much of the field passes outward through every point on the boundary. Directly calculating this flux can be difficult when the surface has a complicated or irregular shape. The Divergence Theorem provides a powerful alternative by relating surface flux to behavior inside the enclosed region.The Divergence Theorem states that the outward...

Gauss's Law: Spherical Symmetry

Gauss's Law: Spherical Symmetry

A charge distribution has spherical symmetry if the density of charge depends only on the distance from a point in space and not on the direction. In other words, if the system is rotated, it doesn't look different. For instance, if a sphere of radius R is uniformly charged with charge density ρ0, then the distribution has spherical symmetry. On the other hand, if a sphere of radius R is charged so that the top half of the sphere has a uniform charge density ρ1 and the bottom half has a uniform...

Triple Integrals in Spherical Coordinates

Triple Integrals in Spherical Coordinates

Triple integrals in spherical coordinates provide an efficient method for evaluating volumes over regions with central symmetry, such as spheres. Instead of describing points by rectangular coordinates, spherical coordinates use three variables: 𝜌, 𝜃, and 𝜑. Here, 𝜌 is the distance from the origin, 𝜃 is the angle in the xy-plane measured from the positive x-axis, and 𝜑 is the angle measured downward from the positive z-axis.To derive the volume of a sphere, the solid region can be divided...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

InstantGroup: Instant Template Generation for Scalable Group of Brain MRI Registration.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2025

Same author

Depth-Aware Networks for Multi-Organ Lesion Detection in Chest CT Scans.

Bioengineering (Basel, Switzerland)·2024

Same author

EfficientQ: An efficient and accurate post-training neural network quantization method for medical image segmentation.

Medical image analysis·2024

Same author

Retinal Vessel Segmentation by a Transformer-U-Net Hybrid Model With Dual-Path Decoder.

IEEE journal of biomedical and health informatics·2024

Same author

A Dual Coordinate System Vertebra Landmark Detection Network with Sparse-to-Dense Vertebral Line Interpolation.

Bioengineering (Basel, Switzerland)·2024

Same author

Unsupervised Domain Adaptation for Medical Image Segmentation Using Transformer With Meta Attention.

IEEE transactions on medical imaging·2023

Search research articles

Related Experiment Video

Updated: Jun 25, 2026

Perfusable Vascular Network with a Tissue Model in a Microfluidic Device

Perfusable Vascular Network with a Tissue Model in a Microfluidic Device

Published on: April 4, 2018

Efficient implementation for spherical flux computation and its application to vascular segmentation.

Max W K Law¹, Albert C S Chung

¹Lo Kwee-Seong Medical Image Analysis Laboratory, Department of Computer Science and Engineering, The Hong Kong University of Science and Technology, Clear Water Bay, Hong Kong. maxlawwk@cse.ust.hk

IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society

|February 13, 2009

Summary

This summary is machine-generated.

This study introduces a faster method for calculating spherical flux, crucial for medical imaging analysis. The new Fourier domain approach significantly speeds up computation, especially for large structures, without sacrificing accuracy.

More Related Videos

Rapid Whole-Mount High-Resolution Imaging of Small Animal Vasculature for Quantitative Studies

Rapid Whole-Mount High-Resolution Imaging of Small Animal Vasculature for Quantitative Studies

Published on: May 23, 2025

A Volumetric Method for Quantification of Cerebral Vasospasm in a Murine Model of Subarachnoid Hemorrhage

A Volumetric Method for Quantification of Cerebral Vasospasm in a Murine Model of Subarachnoid Hemorrhage

Published on: July 28, 2018

Related Experiment Videos

Last Updated: Jun 25, 2026

Perfusable Vascular Network with a Tissue Model in a Microfluidic Device

Perfusable Vascular Network with a Tissue Model in a Microfluidic Device

Published on: April 4, 2018

Rapid Whole-Mount High-Resolution Imaging of Small Animal Vasculature for Quantitative Studies

Rapid Whole-Mount High-Resolution Imaging of Small Animal Vasculature for Quantitative Studies

Published on: May 23, 2025

A Volumetric Method for Quantification of Cerebral Vasospasm in a Murine Model of Subarachnoid Hemorrhage

A Volumetric Method for Quantification of Cerebral Vasospasm in a Murine Model of Subarachnoid Hemorrhage

Published on: July 28, 2018

Area of Science:

Medical Imaging
Computational Fluid Dynamics
Image Processing

Background:

Spherical flux analysis is vital for tubular structures in magnetic resonance angiography and computed tomographic angiography.
Conventional spatial domain methods for spherical flux computation are computationally intensive, with time complexity quadratic to sphere radius.

Purpose of the Study:

To develop a more efficient implementation for spherical flux computation.
To reduce the computational time for spherical flux analysis, particularly for large spherical regions.

Main Methods:

Reformulated spherical flux calculation using the divergence theorem, spherical step function, and convolution.
Implemented the calculation in the Fourier domain to leverage its computational efficiencies.
Selected appropriate frequency subbands to maintain computational accuracy.

Main Results:

The proposed Fourier domain implementation is significantly more computationally efficient than the conventional spatial domain method.
Experimental results on synthetic and clinical data show comparable accuracy between the two methods.
The new method's time complexity is independent of the sphere radius, unlike the conventional approach.

Conclusions:

The Fourier domain implementation offers a substantial improvement in computational efficiency for spherical flux calculations.
This method is particularly beneficial for multiscale spherical flux computations involving various radii.
The approach maintains accuracy while drastically reducing computation time, enhancing its utility in medical imaging analysis.