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Related Concept Videos

Propagation of Uncertainty from Random Error00:59

Propagation of Uncertainty from Random Error

An experiment often consists of more than a single step. In this case, measurements at each step give rise to uncertainty. Because the measurements occur in successive steps, the uncertainty in one step necessarily contributes to that in the subsequent step. As we perform statistical analysis on these types of experiments, we must learn to account for the propagation of uncertainty from one step to the next. The propagation of uncertainty depends on the type of arithmetic operation performed on...
Divergence Theorem in 3D Space01:20

Divergence Theorem in 3D Space

In vector calculus, flux measures the total flow of a vector field through a surface. For a closed surface in three-dimensional space, this means measuring how much of the field passes outward through every point on the boundary. Directly calculating this flux can be difficult when the surface has a complicated or irregular shape. The Divergence Theorem provides a powerful alternative by relating surface flux to behavior inside the enclosed region.The Divergence Theorem states that the outward...
Propagation of Uncertainty from Systematic Error01:10

Propagation of Uncertainty from Systematic Error

The atomic mass of an element varies due to the relative ratio of its isotopes. A sample's relative proportion of oxygen isotopes influences its average atomic mass. For instance, if we were to measure the atomic mass of oxygen from a sample, the mass would be a weighted average of the isotopic masses of oxygen in that sample. Since a single sample is not likely to perfectly reflect the true atomic mass of oxygen for all the molecules of oxygen on Earth, the mass we obtain from this particular...
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Gauss's Law: Cylindrical Symmetry

A charge distribution has cylindrical symmetry if the charge density depends only upon the distance from the axis of the cylinder and does not vary along the axis or with the direction about the axis. In other words, if a system varies if it is rotated around the axis or shifted along the axis, it does not have cylindrical symmetry. In real systems, we do not have infinite cylinders; however, if the cylindrical object is considerably longer than the radius from it that we are interested in,...
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Gauss's Law: Spherical Symmetry

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Related Experiment Video

Updated: Jun 8, 2026

Digital Inline Holographic Microscopy (DIHM) of Weakly-scattering Subjects
10:16

Digital Inline Holographic Microscopy (DIHM) of Weakly-scattering Subjects

Published on: February 8, 2014

Complex-valued error diffusion for off-axis computer-generated holograms.

R Eschbach, Z Fan

    Applied Optics
    |September 11, 2010
    PubMed
    Summary
    This summary is machine-generated.

    Complex-valued error diffusion enhances computer-generated holograms by offering greater flexibility in noise spectrum shaping for real-valued hologram data.

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    Last Updated: Jun 8, 2026

    Digital Inline Holographic Microscopy (DIHM) of Weakly-scattering Subjects
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    Published on: February 8, 2014

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    Area of Science:

    • Optics and Photonics
    • Digital Holography
    • Image Processing

    Background:

    • Error diffusion is a key technique for calculating computer-generated holograms.
    • Real-valued error diffusion is established for real-valued holograms with off-axis reconstructions.

    Purpose of the Study:

    • To explore the application of complex-valued error diffusion on real-valued hologram data.
    • To achieve enhanced flexibility in noise spectrum shaping.

    Main Methods:

    • Implementation of a complex-valued error-diffusion algorithm.
    • Application to real-valued hologram data.

    Main Results:

    • Demonstration of successful application of complex-valued error diffusion.
    • Achieved greater flexibility in shaping the noise spectrum.

    Conclusions:

    • Complex-valued error diffusion offers advantages for real-valued hologram calculations.
    • This method provides improved control over noise characteristics.