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

Quadratic Models01:23

Quadratic Models

324
Quadratic models are mathematical representations used to describe relationships in which the rate of change changes at a constant rate. These models appear in a wide variety of natural and engineered systems, especially those involving motion, forces, and optimization. One common application is analyzing the vertical motion of objects influenced by gravity, such as a ball thrown into the air.In such scenarios, the object's height changes over time in a curved pattern, rising to a maximum point...
324
Eccentricity of an Ellipse01:27

Eccentricity of an Ellipse

607
An ellipse is a fundamental conic section defined by the constant sum of distances from any point on its curve to two fixed points, known as the foci. This geometric property can be physically demonstrated using a pencil, string, and two pins. By anchoring the string at both ends and maintaining it taut with a pencil, one can trace the outline of an ellipse.The shape and extent of the ellipse are determined by its eccentricity, e, defined as the ratio of the distance between the center and a...
607
Quadratic Equations01:29

Quadratic Equations

571
A quadratic equation is an algebraic expression where a variable is raised to the second power and combined with its first power and a constant; all equated to zero. These equations are frequently used to model relationships involving area, motion, and optimization. The general representation of a quadratic equation iswhere a, b, and c are real values, and a is nonzero to ensure the presence of the squared term.One method for solving a quadratic equation involves rewriting it as a product of...
571
Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving01:29

Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving

407
Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
407
Ellipses01:30

Ellipses

388
An ellipse is formed when a right circular cone is intersected by an inclined plane that does not cut through its base. This intersection yields a closed, symmetric curve characterized by distinctive geometric properties. Most notably, an ellipse is defined as the collection of all points in a plane for which the combined distances to two fixed points—called the foci—remain constant.The ellipse features two principal axes: the major and the minor axes. The major axis is the longest...
388
Calibration Curves: Linear Least Squares01:20

Calibration Curves: Linear Least Squares

5.3K
A calibration curve is a plot of the instrument's response against a series of known concentrations of a substance. This curve is used to set the instrument response levels, using the substance and its concentrations as standards. Alternatively, or additionally, an equation is fitted to the calibration curve plot and subsequently used to calculate the unknown concentrations of other samples reliably.
For data that follow a straight line, the standard method for fitting is the linear...
5.3K

You might also read

Related Articles

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

Sort by
Same author

Linear Quadratic Regulator Control of Vehicle Active Front Steering Considering Aerodynamic Characteristics.

Sensors (Basel, Switzerland)·2026
Same author

Sodium lactate attenuates LPS-induced acute kidney injury by suppressing CHOP dependent endoplasmic reticulum stress.

Archives of biochemistry and biophysics·2026
Same author

Effects of Chronic Renal Insufficiency Combined with Atrial Fibrillation on Left Atrial Endothelial Function in a Beagle Model.

Journal of visualized experiments : JoVE·2026
Same author

Implementation of an ai-enabled multimodal emergency care system is associated with improved sudden cardiac death rescue outcomes in anyang.

Scientific reports·2026
Same author

OsGAPC3 modulates starch synthesis and grain chalkiness by integrating glycolysis and transcriptional regulation in rice.

Plant science : an international journal of experimental plant biology·2026
Same author

A Novel Reversed U Curve Method to Facilitate Ethanol Infusion into the Vein of Marshall in Atrial Fibrillation: A Single-Center Case Series Study.

Journal of cardiovascular development and disease·2026

Related Experiment Video

Updated: Apr 6, 2026

ARL Spectral Fitting as an Application to Augment Spectral Data via Franck-Condon Lineshape Analysis and Color Analysis
07:11

ARL Spectral Fitting as an Application to Augment Spectral Data via Franck-Condon Lineshape Analysis and Color Analysis

Published on: August 19, 2021

3.1K

Robust Ellipse Fitting via Half-Quadratic and Semidefinite Relaxation Optimization.

Junli Liang, Yunlong Wang, Xianju Zeng

    IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
    |July 29, 2015
    PubMed
    Summary

    This study introduces a robust ellipse fitting method to overcome errors from image edge detection. The new approach effectively handles outliers, improving accuracy in computer vision and automated manufacturing applications.

    More Related Videos

    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
    Analysis of SEC-SAXS data via EFA deconvolution and Scatter
    10:59

    Analysis of SEC-SAXS data via EFA deconvolution and Scatter

    Published on: January 28, 2021

    10.1K

    Related Experiment Videos

    Last Updated: Apr 6, 2026

    ARL Spectral Fitting as an Application to Augment Spectral Data via Franck-Condon Lineshape Analysis and Color Analysis
    07:11

    ARL Spectral Fitting as an Application to Augment Spectral Data via Franck-Condon Lineshape Analysis and Color Analysis

    Published on: August 19, 2021

    3.1K
    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
    Analysis of SEC-SAXS data via EFA deconvolution and Scatter
    10:59

    Analysis of SEC-SAXS data via EFA deconvolution and Scatter

    Published on: January 28, 2021

    10.1K

    Area of Science:

    • Computer Vision
    • Image Processing
    • Optimization

    Background:

    • Ellipse fitting is crucial for computer vision and automated manufacturing.
    • Image edge detection introduces errors, particularly outliers, degrading ellipse fitting performance.

    Purpose of the Study:

    • To develop a robust ellipse fitting method that mitigates the impact of outliers.
    • To enhance the accuracy and reliability of ellipse fitting in the presence of noisy data.

    Main Methods:

    • Incorporated the maximum correntropy criterion into constrained least-square (CLS) ellipse fitting.
    • Employed half-quadratic optimization for solving the nonlinear, nonconvex problem.
    • Introduced a quadratic equality constraint to ensure elliptical solutions, formulating a nonconvex quadratically constrained quadratic programming problem.
    • Derived a semidefinite programming approach using the trace operator for parameter determination.

    Main Results:

    • The proposed method demonstrates robustness against outliers in ellipse fitting.
    • Simulated and experimental results validate the effectiveness of the robust ellipse fitting approach.
    • The integration of maximum correntropy and semidefinite programming yields accurate ellipse parameter estimation.

    Conclusions:

    • The developed robust ellipse fitting method significantly improves performance in the presence of outliers.
    • This technique offers a reliable solution for applications requiring precise ellipse parameter estimation from imperfect image data.
    • The study advances ellipse fitting methodologies for computer vision and automated manufacturing.