Results 51 to 60 of about 189,197 (211)

Enhancing Drone Light Shows Performances: Optimal Allocation and Trajectories for Swarm Drone Formations

Journal of Field Robotics, EarlyView.
ABSTRACT Drone light shows (DLShows) represent a rapidly growing application of swarm robotics, creating captivating aerial displays through the synchronized flight of hundreds or thousands of unmanned aerial vehicles (UAVs) as environmentally friendly and reusable alternatives to traditional pyrotechnics.
Yunes Alqudsi
wiley   +1 more source

Calibrating Bayesian inference

British Journal of Mathematical and Statistical Psychology, EarlyView.
Abstract Bayesian statistics has gained popularity in psychological research due to its intuitive uncertainty quantification and convenient information‐updating rules. In many applications, however, prior distributions are introduced merely as instruments to facilitate computation, rather than as representations of genuine subjective belief ...
Yang Liu, Jonathan P. Williams, Jan Hannig   +2 more
wiley   +1 more source

A new family of q-Bernstein polynomials: probabilistic viewpoint

Arab Journal of Basic and Applied Sciences
In this paper, we introduce a new class of polynomials, called probabilistic q-Bernstein polynomials, alongside their generating function. Assuming [Formula: see text] is a random variable satisfying moment conditions, we use the generating function of ...
Ayse Karagenc, Mehmet Acikgoz, Serkan Araci   +2 more
doaj   +1 more source

Basis Networks: Learning basis functions for free‐form triangulations

Computer Graphics Forum, EarlyView.
Abstract We present a framework for learning compactly supported basis functions that define tangent continuous surfaces based on coarse irregular triangle meshes. The basis functions are represented as MLPs. Smoothness of the basis functions is achieved by using the values of Loop basis functions as the parameterization of the surface.
T. Djuren, M. Alexa
wiley   +1 more source

Consistency of Approximation of Bernstein Polynomial-Based Direct Methods for Optimal Control

Machines, 2022
Bernstein polynomial approximation of continuous function has a slower rate of convergence compared to other approximation methods. “The fact seems to have precluded any numerical application of Bernstein polynomials from having been made.
Venanzio Cichella, Isaac Kaminer, Claire Walton, Naira Hovakimyan, António Pascoal   +4 more
doaj   +1 more source

Generalized Bernstein-Chlodowsky Polynomials

Rocky Mountain Journal of Mathematics, 1998
For given positive integers \(n\) and \(m\), the generalization of Bernstein-Chlodowsky polynomials is defined by \[ B_{n,m}(f,x)= \Biggl( 1+(m-1) \frac{x}{b_n} \Biggr) \sum_{k=0}^{[n/m]} f\Biggl( \frac{b_nk} {n-(m-1)k}\Biggr) C_{n-(m-1)k}^k \Biggl( \frac{x}{b_n} \Biggr)^k \Biggl(1- \frac{x}{b_n} \Biggr)^{n-mk}, \] where \(b_n\) is a sequence of ...
Gadjiev, A.D., Efendiev, R.O., Ibikli, E.   +2 more
openaire   +3 more sources

Register‐Efficient Linear‐Time Evaluation in the Bernstein Basis

Computer Graphics Forum, EarlyView.
Abstract We investigate the evaluation of points and derivatives of Bézier curves and surfaces on modern architectures, focusing on performance and guided by numerical error bounds. While the de Casteljau algorithm remains the reference for numerical robustness, its linear working‐set size imposes substantial register pressure on GPUs.
Gábor Valasek, Anna Lili Horváth
wiley   +1 more source

The approximation of localized Bernstein polynomials

Computers & Mathematics with Applications, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Linsen Xie, Tingfan Xie
openaire   +3 more sources

Parallel Vectors Extraction using Bézier Clipping

Computer Graphics Forum, EarlyView.
Abstract In this paper, we propose a novel local feature extraction algorithm for the parallel vectors (PV) operator. Our method is based on Bézier clipping, which is a bracketing‐based root finding method that is commonly‐used in computer‐aided geometric design.
Nico Daßler, Tobias Günther
wiley   +1 more source

Some Identities between the Extended -Bernstein Polynomials with Weight and -Bernoulli Polynomials with Weight (,)

Journal of Applied Mathematics, 2013
Using bosonic -adic -integral on , we give some interesting relationships between -Bernoulli numbers with weight (,) and -Bernstein polynomials with weight .
H. Y. Lee, C. S. Ryoo
doaj   +1 more source