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Related Concept Videos

Rectangular and Triangular Pulse Function01:19

Rectangular and Triangular Pulse Function

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The unit rectangular pulse function is mathematically represented by a rectangular function centered at the origin with a height of one unit. This function is defined by two parameters: T, which specifies the center location of the pulse along the time axis, and τ, which determines the pulse duration.
For example, consider a rectangular pulse with a 5V amplitude, a 3-second duration, and centered at t=2 seconds. This pulse can be expressed using the rectangular function, written as,
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High-resolution, High-speed, Three-dimensional Video Imaging with Digital Fringe Projection Techniques
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Double-pattern triangular pulse width modulation technique for high-accuracy high-speed 3D shape measurement.

Yajun Wang, Chufan Jiang, Song Zhang

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    Summary
    This summary is machine-generated.

    This study introduces an improved method for 3D shape measurement using binary patterns, enhancing phase quality for faster, high-resolution results. The technique utilizes a novel pattern generation to achieve high-quality phase retrieval with minimal patterns.

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    Area of Science:

    • Optics and Photonics
    • Computer Vision
    • Metrology

    Background:

    • Binary patterns offer speed advantages for 3D shape measurement over sinusoidal patterns.
    • Low phase quality is a limitation of binary patterns with few phase shifts.

    Purpose of the Study:

    • To enhance phase quality in 3D shape measurement using binary patterns.
    • To enable high-speed, high-resolution 3D shape measurement with improved phase quality.

    Main Methods:

    • Proposed a novel method using the difference of two Triangular Pulse Width Modulation (TPWM) generated binary patterns.
    • Applied a three-step phase-shifting algorithm to these difference patterns for phase retrieval.
    • Optimized the modulation frequency of the triangular carrier signal.

    Main Results:

    • Achieved high-quality phase generation across a wide range of fringe periods (18 to 1140 pixels).
    • Demonstrated effective phase retrieval using only six binary patterns.
    • Developed a real-time 3D shape measurement system capable of 30 Hz operation.

    Conclusions:

    • The proposed method significantly improves phase quality in 3D shape measurement using binary patterns.
    • This technique enables high-speed and high-resolution 3D shape acquisition with a simplified 1-bit pattern system.