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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 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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Encrypted fringe projection profilometry.

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    This summary is machine-generated.

    Encrypted Fringe Projection Profilometry (E-FPP) embeds encryption into 3D optical measurements. This privacy-preserving method ensures secure 3D reconstruction using unique key pairs.

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    Area of Science:

    • Optical Metrology
    • Computer Vision
    • Cryptography

    Background:

    • Fringe Projection Profilometry (FPP) is a key technique for 3D shape measurement.
    • Existing FPP methods lack inherent data security and privacy.
    • Protecting sensitive 3D data during optical metrology is crucial.

    Purpose of the Study:

    • To introduce a novel encrypted fringe projection profilometry (E-FPP) framework.
    • To enable secure and privacy-preserving 3D reconstruction in optical metrology.
    • To develop a co-keyed phase-code system for binding reconstruction to authorized keys.

    Main Methods:

    • Developed a co-keyed phase-code framework integrating encryption into the FPP measurement process.
    • Utilized two random phase fields and orthogonal temporal codes for joint encoding.
    • Preserved the standard three-step FPP operational sequence.

    Main Results:

    • Demonstrated accurate 3D reconstruction exclusively with authorized key pairs.
    • Verified strong resistance against single- and multi-frame inference attacks.
    • Successfully implemented key-dependent 3D reconstruction.

    Conclusions:

    • E-FPP offers a robust, privacy-preserving solution for optical metrology.
    • The proposed method enhances data security without compromising measurement accuracy.
    • This framework advances secure 3D data acquisition in sensitive applications.