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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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A calibration curve is a plot of the instrument's response against a series of known concentrations of a substance. This curve is used to set the instrument response levels, using the substance and its concentrations as standards. Alternatively, or additionally, an equation is fitted to the calibration curve plot and subsequently used to calculate the unknown concentrations of other samples reliably.
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Accurate calibration of glassware, such as volumetric flasks, pipettes, and burettes, is essential to ensure accurate measurements in the analytical laboratory. Calibration helps maintain consistency across measurements and prevents errors arising from inaccurate volumes.
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Consider a component AB undergoing a linear motion. Along with a linear motion, point B also rotates around point A. To comprehend this complex movement, position vectors for both points A and B are established using a stationary reference frame.
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A charge distribution has spherical symmetry if the density of charge depends only on the distance from a point in space and not on the direction. In other words, if the system is rotated, it doesn't look different. For instance, if a sphere of radius R is uniformly charged with charge density ρ0, then the distribution has spherical symmetry. On the other hand, if a sphere of radius R is charged so that the top half of the sphere has a uniform charge density ρ1 and the bottom half has a...
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The Earth's shape is best described as an ellipsoid, a slightly flattened sphere created by rotating an ellipse around its minor axis. This flattening results in the polar axis being about 21 kilometers shorter than the equatorial axis. In contrast, the geoid represents the Earth's gravitational shape and aligns with the mean sea level (MSL). The geoid is an irregular equipotential surface where gravity is perpendicular at every point. Variations in Earth's mass distribution cause geoid...
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Related Experiment Video

Updated: Feb 25, 2026

Three-dimensional Super Resolution Microscopy of F-actin Filaments by Interferometric PhotoActivated Localization Microscopy iPALM
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Flexible and accurate camera calibration using grid spherical images.

Zhen Liu, Qun Wu, Suining Wu

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    |August 10, 2017
    PubMed
    Summary

    A novel grid spherical target (GST) enhances camera calibration in computer vision. This method refines intrinsic and extrinsic parameters for improved accuracy in simulations and real-world applications.

    Area of Science:

    • Computer Vision
    • Robotics
    • 3D Reconstruction

    Background:

    • Accurate camera calibration is crucial for 3D computer vision tasks.
    • Existing spherical and checkerboard targets have limitations.
    • A new target combining advantages of both is needed.

    Purpose of the Study:

    • To propose a novel Grid Spherical Target (GST) for camera calibration.
    • To leverage GST's unique features for improved calibration accuracy.
    • To validate the GST-based method through simulations and experiments.

    Main Methods:

    • Utilizing latitude and longitude circles on the GST for calibration.
    • Obtaining the Image of Absolute Conic from elliptic curves.
    • Employing nonlinear optimization with GST features for parameter refinement.

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    Main Results:

    • Initial camera parameters derived from the Image of Absolute Conic.
    • Optimized intrinsic and extrinsic parameters achieved through nonlinear optimization.
    • Demonstrated effectiveness of the GST method in simulation and physical experiments.

    Conclusions:

    • The Grid Spherical Target (GST) offers a robust solution for camera calibration.
    • The proposed method provides accurate intrinsic and extrinsic camera parameters.
    • GST is a promising tool for computer vision applications requiring precise calibration.