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

Boundary Conditions: Lossless Lines01:21

Boundary Conditions: Lossless Lines

Consider a single-phase, two-wire, lossless transmission line terminated by an impedance at the receiving end and a source with Thevenin voltage and impedance at the sending end. The line, with length, has a surge impedance and wave velocity determined by the line's inductance and capacitance.
At the receiving end, the boundary condition states that the voltage equals the product of the receiving-end impedance and current. This relationship is expressed as a function of the incident and...
Extended Versions of Green’s Theorem01:27

Extended Versions of Green’s Theorem

Green’s Theorem connects the circulation of a vector field around a closed curve with the behavior of the field across the region enclosed by that curve. It provides a way to replace a line integral around a boundary with a double integral over the interior region, making it especially useful in plane geometry, fluid flow, and vector calculus.Although Green’s Theorem is often introduced using simple regions without gaps, it can also be applied to regions made from several simple parts. This...
Divergence Theorem in 3D Space01:20

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...
Electrostatic Boundary Conditions01:16

Electrostatic Boundary Conditions

Consider an external electric field propagating through a homogeneous medium. When the electric field crosses the surface boundary of the medium, it undergoes a discontinuity. The electric field can be resolved into normal and tangential components. The amount by which the field changes at any boundary is given by the difference between the field components above and below the surface boundary.
The surface integral of an electric field is given by Gauss's law in integral form and is related to...
Boundary Conditions for Current Density01:25

Boundary Conditions for Current Density

Current density becomes discontinuous across an interface of materials with different electrical conductivities. The normal component of the current density is continuous across the boundary.
Design Example: Measuring Distance Between Two Points with Obstructions01:10

Design Example: Measuring Distance Between Two Points with Obstructions

When measuring distances in areas with physical obstructions, such as a lake in a field, surveyors must employ techniques to calculate accurate lengths without direct line measurements. One effective method is the offset technique, which allows for precise distance estimation over inaccessible stretches.In this scenario, a surveyor must measure a side of an area that crosses a lake. Since the measuring tape cannot span the lake, the surveyor begins by establishing a baseline that aligns with...

You might also read

Related Articles

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

Sort by
Same author

Perfusion-based Collaterals in Prediction of Infarct Growth in Patients with Acute Ischemic Stroke: A Multicenter Comparative Analysis.

AJNR. American journal of neuroradiology·2026
Same author

Translation of hyperpolarized [<sup>13</sup>C,<sup>15</sup>N<sub>2</sub>]urea MRI for novel human brain perfusion studies.

Npj imaging·2025
Same author

Immune checkpoint inhibitors and the risk of major atherosclerotic cardiovascular events in patients with high-risk or advanced melanoma: a retrospective cohort study.

Cardio-oncology (London, England)·2022
Same author

Improving skin cancer management with ARTificial intelligence: A pre-post intervention trial of an artificial intelligence system used as a diagnostic aid for skin cancer management in a real-world specialist dermatology setting.

Journal of the American Academy of Dermatology·2022
Same author

Association Between Low-Dose Methotrexate Exposure and Melanoma: A Systematic Review and Meta-analysis.

JAMA dermatology·2022
Same author

A Statistical Overview of Fixed Wing Air Medical Transportation Operations in the United States (2019-2020).

Air medical journal·2022

Related Experiment Video

Updated: Jul 10, 2026

From Voxels to Knowledge: A Practical Guide to the Segmentation of Complex Electron Microscopy 3D-Data
12:08

From Voxels to Knowledge: A Practical Guide to the Segmentation of Complex Electron Microscopy 3D-Data

Published on: August 13, 2014

Computing length-preserved free boundary for quasi-developable mesh segmentation.

Charlie Wang1

  • 1Department of Mechanical and Automation Engineering, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong, PR China. cwang@mae.cuhk.edu.hk

IEEE Transactions on Visualization and Computer Graphics
|November 13, 2007
PubMed
Summary

This study introduces a new method for segmenting 3D models into developable atlases for stretch-free surface flattening. The length-preserved free boundary (LPFB) computation accelerates parameterization and aids in segmentation.

More Related Videos

Outer-Boundary Assisted Segmentation and Quantification of Trabecular Bones by an Imagej Plugin
09:36

Outer-Boundary Assisted Segmentation and Quantification of Trabecular Bones by an Imagej Plugin

Published on: March 14, 2018

Quantifying Intermembrane Distances with Serial Image Dilations
07:45

Quantifying Intermembrane Distances with Serial Image Dilations

Published on: September 28, 2018

Related Experiment Videos

Last Updated: Jul 10, 2026

From Voxels to Knowledge: A Practical Guide to the Segmentation of Complex Electron Microscopy 3D-Data
12:08

From Voxels to Knowledge: A Practical Guide to the Segmentation of Complex Electron Microscopy 3D-Data

Published on: August 13, 2014

Outer-Boundary Assisted Segmentation and Quantification of Trabecular Bones by an Imagej Plugin
09:36

Outer-Boundary Assisted Segmentation and Quantification of Trabecular Bones by an Imagej Plugin

Published on: March 14, 2018

Quantifying Intermembrane Distances with Serial Image Dilations
07:45

Quantifying Intermembrane Distances with Serial Image Dilations

Published on: September 28, 2018

Area of Science:

  • Computer Graphics
  • Computational Geometry
  • Applied Mathematics

Background:

  • Surface flattening is crucial for applications like 3D modeling and digital fabrication.
  • Segmenting complex 3D models into developable patches remains a significant challenge.
  • Efficient criteria for evaluating developability are needed for segmentation algorithms.

Purpose of the Study:

  • To develop a fast and effective method for segmenting 3D models into nearly developable atlases.
  • To introduce a novel criterion for evaluating the flattenability of mesh patches.
  • To accelerate the process of stretch-free surface parameterization.

Main Methods:

  • Introduced a method to compute the length-preserved free boundary (LPFB) of a mesh patch.
  • Formulated LPFB computation as a numerical optimization problem in angle space.
  • Utilized parameterization distortion as a criterion in a trial-and-error segmentation algorithm.

Main Results:

  • The LPFB computation significantly speeds up mesh parameterization.
  • Parameterization distortion derived from LPFB serves as an effective segmentation criterion.
  • The method enables segmentation of models into nearly developable atlases.

Conclusions:

  • The proposed LPFB method provides an efficient criterion for segmenting 3D models for stretch-free flattening.
  • This approach advances the state-of-the-art in mesh parameterization and surface processing.
  • The technique has potential applications in various fields requiring accurate 3D surface manipulation.