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Showing 1 to 14 of 14 for “"Bézier"”.
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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 …
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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 …
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Intersection Algorithms Based On Geometric Intervals
… a geometric interval to extend the technique of Bézier clipping. A geometric interval is used to tightly bound a curve or surface or to contain a point on a curve or surface. Our algorithms retain the desirable characteristics of the Bézier clipping technique such as ease of implementation and …
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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 …
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Desenvolvimento de uma metodologia para representação analítica de curvas características de bombas hidráulicas, visando sua seleção, seu dimensionamento e a simulação de sua operação
… foi representada por uma ou mais curvas Bézier cúbicas e a superfície de rendimento hidráulico foi modelada de forma precisa e irrestrita, utilizando-se o método de interpolação de Hardy. O funcionamento de bombas associadas em série e em paralelo foi analisado sob o aspecto analítico e a …
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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.
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LineFORM: designing interactions with actuated curve interfaces
… digital geometrical models through wireframe or Bézier data. The customization capability is another characteristic of line; strings or tape can be cut and rearranged to create various shapes and configurations. In this thesis, we will introduce "LineFORM, a novel concept for shape changing …
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Advanced four-dimensional trajectory generation for tactical guidance of unmanned aerial vehicles
… Pythagorean Hodograph (PH) curves based on Bézier splines. This yields nonic spatial curves, joined so as to ensure second order geometric (G²) continuity. The spatial trajectory is speci fied using way-points, tangents, and a geometric acceleration vector that controls the curvature. A …
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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 …
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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 …
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Isogeometric Design, Analysis and Optimisation of Lattice-Skin Structures
… intersected by the line are converted to Bézier representations. For the intersection computation, a matrix-based algorithm is applied, which converts the nonlinear intersection computation into solving a sequence of linear algebra problems using the singular value decomposition (SVD). …
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Multi-scale representations of virtual 3D city models
… smoothly at the interval boundaries using cubic Bézier splines. Non-landmark geometry that is near landmark objects is deformed with respect to a limited number of landmarks. We demonstrate the technique by applying it to a highly detailed virtual 3D city model and a generalized 3D city model. In …
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Constructive geometry parametrization tools for computer-aided design, analysis, and optimization of aeropropulsive systems
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2025-10-19 without embargo terms
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Linear and non-linear deformations of a wind turbine blade considering warping and all aeroelastic load couplings
<p> <i>The structural dynamics behavior of the blade of a horizontal axis wind turbine that reacts to the different components of the aerodynamic loading were studied by many researchers using different approaches and assumptions. In the present research, the author considered all the extensional, …