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Related Concept Videos

Fischer Projections02:18

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...
Newman Projections02:06

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.
Coordinates and Map Projections01:29

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,...
Curvilinear Motion: Polar Coordinates01:27

Curvilinear Motion: Polar Coordinates

In polar coordinates, the motion of a particle follows a curvilinear path. The radial coordinate symbolized as 'r,' extends outward from a fixed origin to the particle, while the angular coordinate, 'θ,' measured in radians, represents the counterclockwise angle between a fixed reference line and the radial line connecting the origin to the particle.
The particle's location is described using a unit vector along the radial direction. Deriving the particle's position with respect to time...
Transformation of Plane Strain01:12

Transformation of Plane Strain

When analyzing elongated structures like bars subjected to uniformly distributed loads, it is essential to understand the transformation of plane strain when coordinate axes are rotated. This transformation helps to assess how material deformation characteristics vary with orientation, which is crucial in materials science and structural engineering.
Under plane strain conditions, typical for members where one dimension significantly exceeds the others, deformations and resultant strains are...
Transformations of Functions III01:20

Transformations of Functions III

Transformations modify the graphical representation of a function without changing its fundamental form. One common transformation is reflection, which flips the graph across a designated axis. When the vertical coordinates of all points are multiplied by the negative one, the entire graph is mirrored over the horizontal axis. This transformation reverses the vertical orientation of peaks and troughs, akin to signal inversion in electrical systems, where a waveform is flipped, but the timing of...

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Related Experiment Video

Updated: Jun 13, 2026

Measuring Spatially- and Directionally-varying Light Scattering from Biological Material
11:57

Measuring Spatially- and Directionally-varying Light Scattering from Biological Material

Published on: May 20, 2013

Ray projection for recovering projective transformations and illumination changes.

Yun Zhang1, Chee-Hung Henry Chu

  • 1Center for Advanced Computer Studies, University of Louisiana at Lafayette, 70504-4330, USA. yxz2646@cacs.louisiana.edu

IEEE Transactions on Pattern Analysis and Machine Intelligence
|April 28, 2010
PubMed
Summary
This summary is machine-generated.

This study introduces a novel variable contour technique for ray projection, enabling accurate recovery of geometric transformations and lighting changes between objects. The flexible framework demonstrates robustness and versatility in real-world image analysis.

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Measuring Spatially- and Directionally-varying Light Scattering from Biological Material
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Area of Science:

  • Computer Vision
  • Geometric Transformations
  • Photometric Analysis

Background:

  • Understanding geometric and lighting changes between images is crucial for computer vision tasks.
  • Existing methods may struggle with accuracy and flexibility in recovering these transformations.

Purpose of the Study:

  • To mathematically study ray projection for recovering projective geometric transformations and affine lighting changes.
  • To propose a novel technique and a flexible framework for joint recovery of transformation parameters.

Main Methods:

  • Mathematical analysis of ray projection.
  • Development of a novel variable contour technique for accurate ray projection evaluation.
  • Design of a flexible framework for joint recovery of 8 projective transformation parameters and 2 lighting change parameters.

Main Results:

  • The proposed variable contour technique accurately evaluates ray projection.
  • The flexible framework successfully recovers geometric and photometric transformations in real indoor and outdoor scenes.
  • Demonstrated robustness to image blur and occlusion.

Conclusions:

  • The novel framework provides a versatile and robust solution for analyzing geometric and photometric changes between images.
  • The method is effective for matching diverse objects across different classes.