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    Area of Science:

    • Computer Vision
    • Computer Graphics
    • Virtual Reality

    Background:

    • Immersive virtual reality (VR) systems often utilize nonplanar displays such as cylindrical screens and Cave Automatic Virtual Environments (CAVEs).
    • Calibrating multiple projectors on these complex surfaces is challenging due to casual alignment and the need for precise registration.

    Purpose of the Study:

    • To develop a novel, fiducial-free calibration technique for multiple projectors on piecewise smooth, vertically extruded surfaces using a single camera.
    • To enable accurate 3D geometry estimation of the display surface and camera extrinsic parameters without explicit correspondences.
    • To facilitate robust and efficient projector intrinsic and extrinsic parameter recovery for seamless image registration in VR systems.

    Main Methods:

    • The method imposes priors on the display surface: it must be piecewise smooth, vertically extruded, with a known aspect ratio for corner-formed rectangles, and a visible, segmentable boundary.
    • Nonlinear optimization is used to estimate the display's 3D geometry and camera extrinsic parameters from a single image.
    • Projector parameters are recovered using a single projected pattern, enabling image registration from arbitrary viewpoints.
    • Novel dimension reduction and deterministic techniques enhance the speed and robustness of camera and projector parameter estimation.

    Main Results:

    • Accurate estimation of display surface geometry and camera extrinsics is achieved with a single camera and image.
    • Efficient recovery of projector intrinsic and extrinsic parameters allows for precise image registration.
    • The method demonstrates robustness to movements of projectors, cameras, or changes in display shape, allowing for fast recalibration.
    • Enables projector overlap at CAVE corners and deployment on novel shapes for applications in edutainment and digital signage.

    Conclusions:

    • The developed technique offers a simple, efficient, and robust solution for calibrating multi-projector displays on complex, nonplanar surfaces.
    • It significantly advances the capabilities of immersive VR systems by enabling easier setup, faster recalibration, and novel display configurations.
    • The method paves the way for wider adoption of advanced projection technologies in VR, edutainment, and digital signage.