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

Area Problem01:26

Area Problem

312
Determining the area of a region with straight edges is straightforward, as geometric formulas for rectangles, triangles, and polygons can be applied directly. However, traditional geometric methods are insufficient when a region has a curved boundary, such as the area under a function.fromThe area problem involves finding a systematic way to measure such regions. One approach to solving this problem is through approximation. Instead of attempting to compute the area exactly at the outset, the...
312
Area Between Curves: Problem Solving01:27

Area Between Curves: Problem Solving

211
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...
211
Equipotential Surfaces and Field Lines01:29

Equipotential Surfaces and Field Lines

4.2K
Electric potential can be pictorially represented as a three-dimensional surface. On such a surface, the electric potential is constant everywhere. The equipotential surface is always perpendicular to the electric field lines, and while it is three-dimensional, it can be treated as an equipotential line in a two-dimensional case. These equipotential lines are also always perpendicular to electric field lines. The term equipotential is often used as a noun, referring to an equipotential line or...
4.2K

You might also read

Related Articles

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

Sort by
Same author

Influence of spatial resolution and scar extent on stretch-activated mechano-electric feedback in post-infarction ventricular models.

Computers in biology and medicine·2026
Same author

Longer action potential duration in the Purkinje network than in the ventricular myocardium delays retrograde activation of the human His-Purkinje system.

The Journal of physiology·2026
Same author

Computer-aided characterization of the arrhythmogenic substrate after myocardial infarction.

Europace : European pacing, arrhythmias, and cardiac electrophysiology : journal of the working groups on cardiac pacing, arrhythmias, and cardiac cellular electrophysiology of the European Society of Cardiology·2026
Same author

To reconnect or not reconnect distal Purkinje fibers, that is the question when modeling the Purkinje fiber network.

Frontiers in physiology·2025
Same author

Increased extracellular volume after aortic valve replacement: A footprint of reverse ventricular remodeling that does not affect conduction velocity.

Journal of cardiovascular magnetic resonance : official journal of the Society for Cardiovascular Magnetic Resonance·2025
Same author

Development and Clinical Validation of a Cross-Sex Translator of ECG Drug Responses.

JACC. Clinical electrophysiology·2025
Same journal

Correction to "Mathematical Modelling of COVID-19 Transmission in Kenya: A Model with Reinfection Transmission Mechanism".

Computational and mathematical methods in medicine·2025
Same journal

RETRACTION: Ligustrazine Inhibits Lung Phosphodiesterase Activity in a Rat Model of Allergic Asthma.

Computational and mathematical methods in medicine·2025
Same journal

RETRACTION: Delivery of miR-224-5p by Exosomes from Cancer-Associated Fibroblasts Potentiates Progression of Clear Cell Renal Cell Carcinoma.

Computational and mathematical methods in medicine·2025
Same journal

RETRACTION: Empirical Analysis of the Nursing Effect of Intelligent Medical Internet of Things in Postoperative Osteoarthritis.

Computational and mathematical methods in medicine·2025
Same journal

RETRACTION: Evaluation and Analysis of the Intervention Effect of Systematic Parent Training Based on Computational Intelligence on Child Autism.

Computational and mathematical methods in medicine·2024
Same journal

RETRACTION: Humanistic Spirit Training of Medical Students Based on Multisource Medical Data Fusion.

Computational and mathematical methods in medicine·2024
See all related articles

Related Experiment Video

Updated: Apr 30, 2026

Precision Measurements and Parametric Models of Vertebral Endplates
10:35

Precision Measurements and Parametric Models of Vertebral Endplates

Published on: September 17, 2019

5.9K

Fitting C² continuous parametric surfaces to frontiers delimiting physiologic structures.

Jason D Bayer1, Matthew Epstein2, Jacques Beaumont3

  • 1L'Institut de Rythmologie et Modélisation Cardiaque, Université de Bordeaux, 166 Cours de l'Argonne, 33000 Bordeaux, France.

Computational and Mathematical Methods in Medicine
|May 1, 2014
PubMed
Summary
This summary is machine-generated.

We developed a novel method to create smooth, continuous parametric surfaces from medical image data. This technique accurately models complex biological structures like the mouse heart ventricles.

More Related Videos

Concurrent EEG and Functional MRI Recording and Integration Analysis for Dynamic Cortical Activity Imaging
11:28

Concurrent EEG and Functional MRI Recording and Integration Analysis for Dynamic Cortical Activity Imaging

Published on: June 30, 2018

11.5K
Author Spotlight: Development of a Novel Finite Element Analysis Model for Improved Orthognathic Surgical Techniques
07:16

Author Spotlight: Development of a Novel Finite Element Analysis Model for Improved Orthognathic Surgical Techniques

Published on: October 20, 2023

2.0K

Related Experiment Videos

Last Updated: Apr 30, 2026

Precision Measurements and Parametric Models of Vertebral Endplates
10:35

Precision Measurements and Parametric Models of Vertebral Endplates

Published on: September 17, 2019

5.9K
Concurrent EEG and Functional MRI Recording and Integration Analysis for Dynamic Cortical Activity Imaging
11:28

Concurrent EEG and Functional MRI Recording and Integration Analysis for Dynamic Cortical Activity Imaging

Published on: June 30, 2018

11.5K
Author Spotlight: Development of a Novel Finite Element Analysis Model for Improved Orthognathic Surgical Techniques
07:16

Author Spotlight: Development of a Novel Finite Element Analysis Model for Improved Orthognathic Surgical Techniques

Published on: October 20, 2023

2.0K

Area of Science:

  • Medical imaging and computational geometry
  • Parametric surface modeling
  • Biomedical engineering

Background:

  • Fitting continuous parametric surfaces to scattered data is challenging.
  • Accurate surface representation is crucial for biomedical modeling and analysis.
  • Existing methods struggle with data distribution sensitivity.

Purpose of the Study:

  • To present a robust technique for fitting C(2) continuous parametric surfaces to geometric data.
  • To enable precise mathematical representation of physiological structures from segmented images.
  • To improve the accuracy and efficiency of 3D modeling in medical imaging.

Main Methods:

  • Extracting a polygonal surface from segmented image data.
  • Projecting the polygonal mesh onto a parametric plane for one-to-one mapping.
  • Regularizing the polygonal mesh for area and edge length to ensure surface continuity.

Main Results:

  • Successfully fitted C(2) continuous parametric surfaces to scattered geometric data.
  • Demonstrated excellent reproduction of geometric data in a mouse heart ventricle model.
  • The novel polygonal mesh regularization is key to the method's success.

Conclusions:

  • The presented technique provides an effective solution for generating C(2) continuous parametric surfaces.
  • This method facilitates accurate geometric modeling of physiological structures.
  • The approach shows significant potential for applications in medical visualization and simulation.