Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Optimization Problems01:26

Optimization Problems

199
Optimization problems often involve identifying maximum or minimum values under specific constraints. A well-known example is determining the longest horizontal pipe that can be moved around a right-angled corner, where a 3-meter-wide hallway meets a 2-meter-wide hallway. This scenario, common in architectural design and industrial transport, can be understood conceptually through geometric and trigonometric reasoning.To visualize the problem, consider the pipe as a straight line that touches...
199
Routh-Hurwitz Criterion II01:19

Routh-Hurwitz Criterion II

1.3K
In the application of the Routh-Hurwitz criterion, two specific scenarios can arise that complicate stability analysis.
The first scenario occurs when a singular zero appears in the first column of the Routh table. This situation creates a division by zero issues. To resolve this, a small positive or negative number, denoted as epsilon (∈), is substituted for the zero. The stability analysis proceeds by assuming a sign for ∈. If ∈ is positive, any sign change in the first...
1.3K
Routh-Hurwitz Criterion I01:15

Routh-Hurwitz Criterion I

713
Consider an electrical power grid, where stability is essential to prevent blackouts. The Routh-Hurwitz criterion is a valuable tool for assessing system stability under varying load conditions or faults. By analyzing the closed-loop transfer function, the Routh-Hurwitz criterion helps determine whether the system remains stable.
To apply the Routh-Hurwitz criterion, a Routh table is constructed. The table's rows are labeled with powers of the complex frequency variable s, starting from the...
713
Region of Convergence of Laplace Tarnsform01:20

Region of Convergence of Laplace Tarnsform

1.4K
The Region of Convergence (ROC) is a fundamental concept in signal processing and system analysis, particularly associated with the Laplace transform. The ROC represents an area in the complex plane where the Laplace transform of a given signal converges, determining the transform's applicability and utility.
Consider a decaying exponential signal that begins at a specific time. When deriving its Laplace transform, the time-domain variable is replaced with a complex variable. This...
1.4K
Region of Convergence01:17

Region of Convergence

1.1K
The z-transform is a powerful mathematical tool used in the analysis of discrete-time signals and systems. It is a crucial tool in the analysis of discrete-time systems, but its convergence is limited to specific values of the complex variable z. This range of values, known as the Region of Convergence (ROC), is fundamental in determining the behavior and stability of a system or signal. The ROC defines the region in the complex plane where the z-transform converges, which can take various...
1.1K
Area Between Curves: Problem Solving01:27

Area Between Curves: Problem Solving

188
A region can be enclosed by three curves: a square root function, a reflected cube root function, and a linear function. The linear function intersects each of the other two curves, and these intersection points determine where the boundary of the enclosed region changes. Because different curves serve as the upper and lower boundaries in different parts of the graph, the area cannot be found using a single setup over the entire interval.To compute the area, the region is first divided into two...
188

You might also read

Related Articles

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

Sort by
Same author

Enhanced Glycolysis Confers Resistance Against Photon but Not Carbon Ion Irradiation in Human Glioma Cell Lines.

Cancer management and research·2023
Same author

Development of a normal tissue complication probability (NTCP) model using an artificial neural network for radiation-induced necrosis after carbon ion re-irradiation in locally recurrent nasopharyngeal carcinoma.

Annals of translational medicine·2022
Same author

Calculating dose-averaged linear energy transfer in an analytical treatment planning system for carbon-ion radiotherapy.

Journal of applied clinical medical physics·2022
Same author

Advances in emission control of diesel vehicles in China.

Journal of environmental sciences (China)·2022
Same author

Locally organised and activated Fth1<sup>hi</sup> neutrophils aggravate inflammation of acute lung injury in an IL-10-dependent manner.

Nature communications·2022
Same author

Spatiotemporal variations and driving factors for potential wind erosion on the Mongolian Plateau.

The Science of the total environment·2022

Related Experiment Video

Updated: Apr 20, 2026

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns
13:44

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns

Published on: August 30, 2013

43.9K

EFFICIENT ALGORITHMS FOR THE OPTIMAL-RATIO REGION DETECTION PROBLEMS IN DISCRETE GEOMETRY WITH APPLICATIONS.

Xiaodong Wu1

  • 1Department of Electrical and Computer Engineering, Department of Radiation Oncology, The University of Iowa, Iowa City, IA 52242, USA, xiaodong-wu@uiowa.edu.

International Journal of Computational Geometry & Applications
|November 22, 2014
PubMed
Summary

This study introduces efficient algorithms for optimal-ratio region detection (ORD) in high-dimensional medical image segmentation. The novel framework uses graph transformations and minimum s-t cut computations for accurate region identification.

Keywords:
Hand probingalgorithmsminimum closed setoptimal-ratio region detectionparametric search

More Related Videos

Generating Strictly Controlled Stimuli for Figure Recognition Experiments
05:39

Generating Strictly Controlled Stimuli for Figure Recognition Experiments

Published on: March 18, 2019

5.7K
Robotized Testing of Camera Positions to Determine Ideal Configuration for Stereo 3D Visualization of Open-Heart Surgery
05:12

Robotized Testing of Camera Positions to Determine Ideal Configuration for Stereo 3D Visualization of Open-Heart Surgery

Published on: August 12, 2021

2.6K

Related Experiment Videos

Last Updated: Apr 20, 2026

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns
13:44

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns

Published on: August 30, 2013

43.9K
Generating Strictly Controlled Stimuli for Figure Recognition Experiments
05:39

Generating Strictly Controlled Stimuli for Figure Recognition Experiments

Published on: March 18, 2019

5.7K
Robotized Testing of Camera Positions to Determine Ideal Configuration for Stereo 3D Visualization of Open-Heart Surgery
05:12

Robotized Testing of Camera Positions to Determine Ideal Configuration for Stereo 3D Visualization of Open-Heart Surgery

Published on: August 12, 2021

2.6K

Area of Science:

  • Computational geometry
  • Medical image analysis
  • Computer vision

Background:

  • High-dimensional medical image segmentation presents challenges in accurately identifying regions.
  • Existing methods may be biased by noise, leading to overly large or small region detection.
  • Optimal-ratio region detection (ORD) is crucial for precise segmentation in complex datasets.

Purpose of the Study:

  • To develop efficient algorithms for optimal-ratio region detection (ORD) in d-D (d ≥ 3) discrete spaces.
  • To address challenges in high-dimensional medical image segmentation using novel computational techniques.
  • To provide a unified algorithmic framework for solving ORD problems with normalized objective functions.

Main Methods:

  • A unified algorithmic framework based on geometric structure characterization and graph transformation.
  • Utilizing a hand probing technique to construct a convex hull for unknown 2-D points.
  • Implementing probing oracles via minimum s-t cut computations in weighted directed graphs, with O(n) calls.

Main Results:

  • Efficient polynomial-time algorithms for solving ORD problems in high dimensions.
  • Demonstration that ORD problems can be solved by O(n) calls to a minimum s-t cut algorithm.
  • For single heightfield surfaces, detection complexity reduces to a single maximum flow computation.

Conclusions:

  • The developed framework offers efficient solutions for complex ORD problems in high-dimensional spaces.
  • The approach provides a significant advancement for medical image segmentation tasks.
  • This work lays the foundation for further research in high-dimensional geometric data analysis.