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

Reconstruction of Signal using Interpolation01:10

Reconstruction of Signal using Interpolation

628
Signal processing techniques are essential for accurately converting continuous signals to digital formats and vice versa. When a continuous signal is sampled with a period T, the resulting sampled signal exhibits replicas of the original spectrum in the frequency domain, spaced at intervals equal to the sampling frequency. To handle this sampled signal, a zero-order hold method can be applied, which creates a piecewise constant signal by retaining each sample's value until the next...
628
Fischer Projections02:18

Fischer Projections

16.0K
Learning to draw Fischer projections of molecules and understanding their relevance plays a crucial role in the visual depiction of organic molecules. A Fischer projection is a two-dimensional projection on a planar surface to simplify the three-dimensional wedge–dash representation of molecules. This is especially helpful in the case of molecules with multiple chiral centers that can be difficult to draw. Here, all the bonds of interest are represented as horizontal or vertical lines. While...
16.0K
Area Computation by the Alternative Coordinate Method01:24

Area Computation by the Alternative Coordinate Method

450
The alternative coordinate method, also known as the Shoelace Formula, is a technique for determining the area of a traverse using Cartesian coordinates. This method relies on the sequential arrangement of x and y coordinates for each point of the shape, ensuring accuracy and ease of application.In this approach, each corner's x and y coordinates are listed as fractions, with the x-coordinate as the numerator and the y-coordinate as the denominator. These coordinates are arranged sequentially...
450
Parallel-axis Theorem01:06

Parallel-axis Theorem

7.9K
The parallel-axis theorem provides a convenient and quick method of finding the moment of inertia of an object about an axis parallel to the axis passing through its center of mass. Consider a thin rod as an example. There is a striking similarity between the process of finding the moment of inertia of a thin rod about an axis through its middle, where the center of mass lies, and about an axis through its end using the conventional method. In the conventional method, the concept of linear mass...
7.9K
Centroid for the Paraboloid of Revolution01:16

Centroid for the Paraboloid of Revolution

816
The paraboloid of revolution is an axially symmetric surface generated by rotating a parabola around its axis. This shape has several applications in mechanical engineering due to its advantageous structural properties, such as strength against stress concentration points and rotational symmetry.
The centroid for the paraboloid of revolution is the point where all the mass of the paraboloid is concentrated. This centroid is important for engineering applications, as it determines how forces are...
816
Bending of Curved Members - Neutral Surface01:16

Bending of Curved Members - Neutral Surface

423
In curved beams, unlike straight beams, the stress distribution across the cross-section is not uniform due to the beam's curvature. This non-uniformity arises because the neutral axis, where stress is zero, does not align with the centroid of the section. In a curved beam, the strain varies along the section as a function of the distance from the neutral axis.
Consider the curved member described in the previous lesson. According to Hooke's law, which relates stress to strain within the...
423

You might also read

Related Articles

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

Sort by
Same author

Hepatocellular carcinoma detection via targeted enzymatic methyl sequencing of plasma cell-free DNA.

Clinical epigenetics·2023
Same author

Hyperuricemia as a possible risk factor for abnormal lipid metabolism in the Chinese population: a cross-sectional study.

Annals of palliative medicine·2021
Same author

Effects of Huatan Tongluo decoction on vascular endothelial growth factor receptor 2 expression in synovial tissues of rats with collagen-induced arthritis.

Journal of traditional Chinese medicine = Chung i tsa chih ying wen pan·2020
Same author

Understanding the diverse functions of Huatan Tongluo Fang on rheumatoid arthritis from a pharmacological perspective.

Experimental and therapeutic medicine·2016

Related Experiment Video

Updated: Dec 23, 2025

How to Measure Cortical Folding from MR Images: a Step-by-Step Tutorial to Compute Local Gyrification Index
09:57

How to Measure Cortical Folding from MR Images: a Step-by-Step Tutorial to Compute Local Gyrification Index

Published on: January 2, 2012

28.4K

C1 triangular Coons surface construction and image interpolation based on new Side-Side and Side-Vertex interpolation

Mingshan Qiu1, Yuanpeng Zhu1

  • 1School of Mathematics, South China University of Technology, Guangzhou, China.

Plos One
|April 23, 2020
PubMed
Summary

Researchers developed new interpolation operators using rational quadratic/linear trigonometric Hermite functions. These operators offer flexible shape control for Coons surfaces and show competitive performance in image interpolation tasks.

More Related Videos

Author Spotlight: Advancing CBCT and Digital Dental Image Integration with AI-Assisted Digitization
05:49

Author Spotlight: Advancing CBCT and Digital Dental Image Integration with AI-Assisted Digitization

Published on: February 23, 2024

1.3K
Operation of the Collaborative Composite Manufacturing CCM System
10:09

Operation of the Collaborative Composite Manufacturing CCM System

Published on: October 1, 2019

7.0K

Related Experiment Videos

Last Updated: Dec 23, 2025

How to Measure Cortical Folding from MR Images: a Step-by-Step Tutorial to Compute Local Gyrification Index
09:57

How to Measure Cortical Folding from MR Images: a Step-by-Step Tutorial to Compute Local Gyrification Index

Published on: January 2, 2012

28.4K
Author Spotlight: Advancing CBCT and Digital Dental Image Integration with AI-Assisted Digitization
05:49

Author Spotlight: Advancing CBCT and Digital Dental Image Integration with AI-Assisted Digitization

Published on: February 23, 2024

1.3K
Operation of the Collaborative Composite Manufacturing CCM System
10:09

Operation of the Collaborative Composite Manufacturing CCM System

Published on: October 1, 2019

7.0K

Area of Science:

  • Computer Graphics
  • Geometric Modeling
  • Image Processing

Background:

  • Coons surfaces are widely used for constructing smooth surfaces over arbitrary domains.
  • Existing interpolation methods may lack flexibility in shape control or efficiency.

Purpose of the Study:

  • To introduce a novel class of rational quadratic/linear trigonometric Hermite functions.
  • To develop improved interpolation operators (FCSS, SCSS, FCSV, SCSV) for C1 Coons surfaces on triangular domains.
  • To enable flexible shape adjustment of Coons surfaces and apply operators to image interpolation.

Main Methods:

  • Proposed a new class of rational quadratic/linear trigonometric Hermite functions with two shape parameters.
  • Developed four improved interpolation operators: FCSS, SCSS, FCSV, and SCSV.
  • Introduced a center of mass control method for triangular surface patches.
  • Applied the operators to image interpolation.

Main Results:

  • The new Hermite functions and interpolation operators allow flexible adjustment of Coons surface patch shapes without altering boundary conditions.
  • The center of mass control method effectively determines shape parameter values for specific surface patch requirements.
  • The proposed methods demonstrate competitive performance in image interpolation compared to existing techniques.

Conclusions:

  • The novel Hermite functions and interpolation operators provide enhanced control over Coons surface generation.
  • The developed methods offer a promising approach for both geometric modeling and image interpolation applications.