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Showing 1 to 6 of 6 for “"Bézier curves"”.

  1. Distributed cooperative trajectory generation for multiple autonomous vehicles using Pythagorean Hodograph Bézier curves

    … geometric-dynamic approach that uses continuous Bézier curves with Pythagorean hodographs, a class of polynomial functions with attractive mathematical properties and a collection of highly efficient computational procedures associated with them. The use of these curves is critical to generate …

    uiuc Repository record for Distributed cooperative trajectory generation for multiple autonomous vehicles using Pythagorean Hodograph Bézier curves (opens in a new tab)

  2. Piecewise Bézier curve trajectory generation and control for quadrotors

    … an optimization problem that generates piecewise Bézier curves which minimize snap over the complete trajectory. The optimization method generates these trajectories from collision-free waypoints indicative of the constrained environment. Further, the Bézier curves are time parameterized to …

    uiuc Repository record for Piecewise Bézier curve trajectory generation and control for quadrotors (opens in a new tab)

  3. Higher order mesh curving using geometry curvature extrapolation

    … the mesh. Edges are represented using four point Bézier curves to determine the positions of higher order edge points. Higher order face and volume points are positioned using the basis functions for serendipity face and volume elements. Parameters are defined which allow user specified control over …

    utc Repository record for Higher order mesh curving using geometry curvature extrapolation (opens in a new tab)

  4. Collision avoidance for multi-vehicle cooperative missions

    … avoidance maneuver. Through novel use of Bézier curves and surfaces for representing uncertain trajectories, these algorithms make use of partial information on obstacle trajectory and are computationally efficient.

    uiuc Repository record for Collision avoidance for multi-vehicle cooperative missions (opens in a new tab)

  5. Lightning Electromagnetic Pulse Functions and Protecting the Artemis Spacecraft

    … from other cables, and we encode them into cubic Bézier curves. We model the true shape of a lightning channel based on photographs from different vantage points, then simplify this geometry using an antenna array and a radiation pattern. We utilize Three-Dimensional Elevation Program (3DEP) data …

    houston Repository record for Lightning Electromagnetic Pulse Functions and Protecting the Artemis Spacecraft (opens in a new tab)

  6. Scale-model investigation of brittle tunnel failure using a true-triaxial device

    … of this work is the development of quadratic Bézier curves in capturing the successive progression of fracturing based on damage factors and breakout width. This method offers a more robust representation of tunnel damage under anisotropic stress conditions and improves the theoretical …

    colo-mines Repository record for Scale-model investigation of brittle tunnel failure using a true-triaxial device (opens in a new tab)