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Related Concept Videos

Fischer Projections02:18

Fischer Projections

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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...
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Coordinates and Map Projections01:29

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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,...
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Three-Dimensional Force System:Problem Solving01:30

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A three-dimensional force system refers to a scenario in which three forces act simultaneously in three different directions. This type of problem is commonly encountered in physics and engineering, where it is necessary to calculate the resultant force on the system, which can then be used to predict or analyze the behavior of the object or structure under consideration.
To solve a three-dimensional force system, first resolve each force into its respective scalar components. Do this using...
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Newman Projections02:06

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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.
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Polar and Cylindrical Coordinates01:22

Polar and Cylindrical Coordinates

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The Cartesian coordinate system is a very convenient tool to use when describing the displacements and velocities of objects and the forces acting on them. However, it becomes cumbersome when we need to describe the rotation of objects. So, when describing rotation, the polar coordinate system is generally used.
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Area Computation by the Alternative Coordinate Method01:24

Area Computation by the Alternative Coordinate Method

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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...
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High-resolution, High-speed, Three-dimensional Video Imaging with Digital Fringe Projection Techniques
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A correspondence finding method based on space conversion in 3D shape measurement using fringe projection.

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    This study introduces a novel space conversion method to improve 3D shape measurement using phase correlation. The new technique enhances corresponding point detection, overcoming limitations in complex phase maps for accurate 3D reconstruction.

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    Area of Science:

    • Computer Vision
    • Metrology
    • Image Processing

    Background:

    • Phase correlation is a key technique for 3D shape measurement.
    • A significant challenge lies in accurately finding corresponding points within phase maps.
    • Complexity in phase maps can lead to errors in real-world applications.

    Purpose of the Study:

    • To address the limitations of traditional phase correlation methods.
    • To propose an improved correspondence finding method for 3D shape measurement.
    • To enhance the accuracy and effectiveness of 3D shape reconstruction.

    Main Methods:

    • Analysis of phase map complexity and its impact on correspondence finding.
    • Development of a novel correspondence finding method based on space conversion.
    • Integration of phase maps from multiple cameras into a unique phase space.
    • Adaptation of the method for CC and VR techniques.

    Main Results:

    • The proposed space conversion method effectively integrates phase maps from two cameras.
    • Correspondence searching is simplified by operating within a single projector coordinate system.
    • Experimental validation demonstrates the success and effectiveness of the developed algorithms.

    Conclusions:

    • The novel space conversion approach significantly improves the accuracy of correspondence finding in phase correlation.
    • This method offers a robust solution for 3D shape measurement challenges posed by complex phase maps.
    • The proposed algorithms provide a valuable advancement for 3D metrology applications.