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Related Concept Videos

Level Curves and Contour Maps01:22

Level Curves and Contour Maps

Level curves and contour maps provide a way to visualize functions of two variables on a two-dimensional plane. A useful example is a topographic map, where curved lines represent locations that share the same elevation. In mathematics, these curves are called level curves or contour lines. Each contour line corresponds to points in the domain where the function has a constant value. For a function of two variables written as z = f(x,y), a level curve is defined by the equation f(x,y) = k,...
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Tangent Planes to Surfaces

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Related Experiment Video

Updated: Jun 16, 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

Holographic contouring by translation.

N Abramson

    Applied Optics
    |February 19, 2010
    PubMed
    Summary
    This summary is machine-generated.

    Holographic interference fringes from object motion are visualized as 3D moiré patterns. Object translations near focal points create contour fringes perpendicular to the line of sight, controllable during reconstruction.

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    Last Updated: Jun 16, 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

    Compact Lens-less Digital Holographic Microscope for MEMS Inspection and Characterization
    10:28

    Compact Lens-less Digital Holographic Microscope for MEMS Inspection and Characterization

    Published on: July 5, 2016

    Area of Science:

    • Optical physics
    • Holography
    • Interferometry

    Background:

    • Holographic interference fringes are typically explained as object intersections with spatial surfaces.
    • Understanding the geometric nature of these fringes is crucial for precise motion analysis.

    Purpose of the Study:

    • To visualize and explain holographic interference fringes as a 3D moiré effect.
    • To demonstrate how object motion and viewing conditions influence fringe formation and orientation.

    Main Methods:

    • Graphical explanation of interference surfaces as a 3D moiré effect between holodiagram ellipsoids.
    • Experimental verification of fringe formation due to object translation near focal points.
    • Analysis of fringe orientation changes with viewing angle during reconstruction.

    Main Results:

    • Interference surfaces were visualized as a 3D moiré effect, with varying angles and curvatures near foci.
    • Object translations near focal points produced contour fringes perpendicular to the line of sight.
    • The angle of these contour fringes was shown to be adjustable during reconstruction by altering the viewing position.

    Conclusions:

    • Holographic interference fringes can be effectively modeled as a 3D moiré phenomenon.
    • The study provides a method for generating and controlling contour fringes for metrology applications.
    • This work enhances the understanding of fringe interpretation in holographic interferometry.