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Related Concept Videos

Spherical Coordinates01:23

Spherical Coordinates

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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...
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Depth Perception and Spatial Vision01:15

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Depth perception is the ability to perceive objects three-dimensionally. It relies on two types of cues: binocular and monocular. Binocular cues depend on the combination of images from both eyes and how the eyes work together. Since the eyes are in slightly different positions, each eye captures a slightly different image. This disparity between images, known as binocular disparity, helps the brain interpret depth. When the brain compares these images, it determines the distance to an object.
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Centroid for the Paraboloid of Revolution01:16

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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.
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Curvilinear Motion: Polar Coordinates01:27

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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.
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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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Computed Tomography01:10

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Tomography refers to imaging by sections. Computed tomography (CT) is a non-invasive imaging technique that uses computers to analyze several cross-sectional X-rays to reveal minute details about structures in the body.
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OSLO: On-the-Sphere Learning for Omnidirectional Images and Its Application to 360-Degree Image Compression.

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    Area of Science:

    • Computer Vision
    • Machine Learning
    • Image Processing

    Background:

    • Current 2D image compression using convolutional neural networks (CNNs) faces challenges when extended to omnidirectional images.
    • Standard CNN operations like translation and sampling are not well-defined on spherical manifolds.

    Purpose of the Study:

    • To develop a deep learning framework for omnidirectional image representation and compression.
    • To adapt CNN mathematical tools for spherical data using HEALPix sampling.

    Main Methods:

    • Defined a novel spherical convolution operation preserving expressiveness and low complexity.
    • Adapted CNN techniques (stride, aggregation, pixel shuffling) to the spherical domain.
    • Applied the framework to omnidirectional image compression.

    Main Results:

    • Achieved 13.7% bit rate savings compared to models on equirectangular images.
    • Supported more expressive filters than graph convolutional networks, preserving high frequencies.
    • Demonstrated superior perceptual quality in compressed omnidirectional images.

    Conclusions:

    • The proposed on-the-sphere framework is efficient for omnidirectional image compression.
    • Opens new research avenues for spherical vision tasks.
    • Offers improved compression gains and perceptual quality for omnidirectional images.