Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Coordinates and Map Projections

Coordinates and Map Projections

Coordinates and map projections are essential tools in accurately representing the Earth's surface for various applications, ranging from navigation to spatial analysis. The latitude and longitude coordinate system is a universally recognized framework for defining locations. Latitude specifies the distance of a point north or south of the equator, measured in degrees from 0° at the equator to 90° at the poles. Longitude indicates a location's position east or west of the prime meridian,...

Newman Projections

Newman Projections

Different notations are used to represent the three-dimensional structure of molecules on two-dimensional surfaces. One of the most commonly used representations is the dash-wedge formula. The dashed wedges, solid wedges, and the plane lines indicate the groups situated behind the plane, coming out of the plane, and in the plane, respectively.
The organic molecules rotate across the single bonds leading to numerous temporary three-dimensional structures of varying energy known as conformers.

Fischer Projections

Fischer Projections

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...

Area Computation by the Alternative Coordinate Method

Area Computation by the Alternative Coordinate Method

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...

Spherical Coordinates

Spherical Coordinates

Spherical coordinate systems are preferred over Cartesian, polar, or cylindrical coordinates for systems with spherical symmetry. For example, to describe the surface of a sphere, Cartesian coordinates require all three coordinates. On the other hand, the spherical coordinate system requires only one parameter: the sphere's radius. As a result, the complicated mathematical calculations become simple. Spherical coordinates are used in science and engineering applications like electric and...

Cartesian Vector Notation

Cartesian Vector Notation

Cartesian vector notation is a valuable tool in mechanical engineering for representing vectors in three-dimensional space, performing vector operations such as determining the gradient, divergence, and curl, and expressing physical quantities such as the displacement, velocity, acceleration, and force. By using Cartesian vector notation, engineers can more easily analyze and solve problems in various areas of mechanical engineering, including dynamics, kinematics, and fluid mechanics. This...

You might also read

Related Articles

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

Sort by

Same author

TiVy: Time Series Visual Summary for Scalable Visualization.

IEEE transactions on visualization and computer graphics·2025

Same author

Challenges and Opportunities for the Visualization of Protein Energy Landscapes.

IEEE computer graphics and applications·2025

Same author

CounterCrime - Using Counterfactual Explanations to Explore Crime Reduction Scenarios.

IEEE transactions on visualization and computer graphics·2025

Same author

Visagreement: Visualizing and Exploring Explanations (Dis)Agreement.

IEEE transactions on visualization and computer graphics·2025

Same author

HUMAP: Hierarchical Uniform Manifold Approximation and Projection.

IEEE transactions on visualization and computer graphics·2024

Same author

TopoMap++: A Faster and More Space Efficient Technique to Compute Projections with Topological Guarantees.

IEEE transactions on visualization and computer graphics·2024

Same journal

MesoSplats: Texture Synthesis with Gaussian Splatting.

IEEE transactions on visualization and computer graphics·2026

Same journal

GLLA: A Unified Force-Directed Graph Layout Framework Supporting Local Adjustments.

IEEE transactions on visualization and computer graphics·2026

Same journal

Multi-Perception Crowd: Learning to combine entity and implicit perception for diverse crowd simulation.

IEEE transactions on visualization and computer graphics·2026

Same journal

Hiding in Plain Sight: Camouflaging Real-world Objects.

IEEE transactions on visualization and computer graphics·2026

Same journal

RTF2Mesh: Restricted Tangent Face Based Mesh Compression With Neural Displacement Fields.

IEEE transactions on visualization and computer graphics·2026

Same journal

Practical Occluder Generation for Mobile Games.

IEEE transactions on visualization and computer graphics·2026

See all related articles

Search research articles

Related Experiment Video

Updated: May 28, 2026

High-resolution, High-speed, Three-dimensional Video Imaging with Digital Fringe Projection Techniques

High-resolution, High-speed, Three-dimensional Video Imaging with Digital Fringe Projection Techniques

Published on: December 3, 2013

Local Affine Multidimensional Projection.

Paulo Joia¹, Fernando V Paulovich, Danilo Coimbra

¹Universidade de São Paulo, Brazil. pjoia@icmc.usp.br

IEEE Transactions on Visualization and Computer Graphics

|October 29, 2011

Summary

This summary is machine-generated.

Local Affine Multidimensional Projection (LAMP) offers a flexible and accurate method for visualizing high-dimensional data. This new technique enhances interactive applications by enabling dynamic adjustments based on user input, improving data exploration. Keywords: multidimensional projection, data visualization, interactive applications, Local Affine Multidimensional Projection.

More Related Videos

Multimodal Cross-Device and Marker-Free Co-Registration of Preclinical Imaging Modalities

Multimodal Cross-Device and Marker-Free Co-Registration of Preclinical Imaging Modalities

Published on: October 27, 2023

Related Experiment Videos

Last Updated: May 28, 2026

High-resolution, High-speed, Three-dimensional Video Imaging with Digital Fringe Projection Techniques

High-resolution, High-speed, Three-dimensional Video Imaging with Digital Fringe Projection Techniques

Published on: December 3, 2013

Multimodal Cross-Device and Marker-Free Co-Registration of Preclinical Imaging Modalities

Multimodal Cross-Device and Marker-Free Co-Registration of Preclinical Imaging Modalities

Published on: October 27, 2023

Area of Science:

Computer Science
Data Visualization
Machine Learning

Background:

Multidimensional projection techniques have advanced in speed and accuracy.
Current methods lack sufficient flexibility for interactive, visualization-focused applications.

Purpose of the Study:

Introduce a novel multidimensional projection technique for enhanced flexibility and versatility.
Address the limitations of existing methods in interactive data visualization.

Main Methods:

Developed Local Affine Multidimensional Projection (LAMP), a new technique.
Utilized orthogonal mapping theory for accurate local transformations.
Enabled dynamic modification of transformations based on user knowledge.

Main Results:

LAMP demonstrated superior accuracy, flexibility, and computational efficiency compared to existing methods.
Comprehensive comparisons validated the technique's performance.
LAMP proved versatile in correlating seemingly unrelated data and exploring textual documents.

Conclusions:

LAMP provides a flexible and accurate solution for multidimensional data projection.
The technique significantly improves interactive visualization applications.
LAMP's versatility opens new avenues for data correlation and text analysis.