Results 41 to 50 of about 6,363 (250)

Cardinal Hermite Spline Interpolation with Shifted Nodes [PDF]

open access: yesMathematics of Computation, 1994
The class \(S_{m,2} (\mathbb{Z})\) of \(L_ 1 (\mathbb{R})\)-bounded cardinal splines of degree \(m\) with knots at the integer points \(j \in \mathbb{Z}\) and defect 2 is studied. Given \(0 < \tau_ 1 \leq \tau_ 2 \leq 1\) and data sequences \(\{y_ i^{(0)}\}\), \(\{y_ i^{(1)}\}\) \((j = - \infty : + \infty)\) from \(L_ 1\), the interpolation problem ...
Plonka-Hoch, Gerlind, Tasche, Manfred
openaire   +2 more sources

Nanoindentation Criteria for Combinatorial Thin Film Libraries

open access: yesAdvanced Engineering Materials, EarlyView.
Thin‐film material libraries are compositional spreads used for screening composition‐structure‐property relationships. Nanoindentation is often used to characterize mechanical behavior across these systems, however variations in methodology are widespread.
Andre Bohn, Adie Alwen, Andrea M. Hodge
wiley   +1 more source

Isogeometric Transfinite Elements: A Unified B-Spline Framework for Arbitrary Node Layouts

open access: yesAxioms
This paper presents a unified framework for constructing partially unstructured B-spline transfinite finite elements with arbitrary nodal distributions. Three novel, distinct classes of elements are investigated and compared with older single Coons-patch
Christopher G. Provatidis
doaj   +1 more source

Elliptic scaling functions as compactly supported multivariate analogs of the B-splines [PDF]

open access: yes, 2013
In the paper, we present a family of multivariate compactly supported scaling functions, which we call as elliptic scaling functions. The elliptic scaling functions are the convolution of elliptic splines, which correspond to homogeneous elliptic ...
Zakharov, Victor G.
core  

Approximation error estimates and inverse inequalities for B-splines of maximum smoothness

open access: yes, 2015
In this paper, we develop approximation error estimates as well as corresponding inverse inequalities for B-splines of maximum smoothness, where both the function to be approximated and the approximation error are measured in standard Sobolev norms and ...
Takacs, Stefan, Takacs, Thomas
core   +1 more source

Bioinspired Shape‐Memory Hook Fasteners With Programmable Interlocking and Silent Release

open access: yesAdvanced Engineering Materials, EarlyView.
Bioinspired hook fasteners made from epoxy shape‐memory polymers are shown to switch between strong, secure attachment and gentle, silent release when heated. By combining programmable geometry and material response, these adaptive fasteners outperform commercial systems in strength and noise control, enabling new solutions for robotics, medical ...
Maria I. Vallejo Ciro   +3 more
wiley   +1 more source

Real-time path planning optimisation algorithm for obstacle avoidance [PDF]

open access: yes, 2006
This paper presents a new real-time path planning algorithm suitable for implementation on small mobile robots to aid navigation in unknown environments. The Random Obstacle Avoidance (R.O.A) algorithm was developed for small robots and it can be used as
Hur, S., Petropoulakis, L.
core  

Exponential Splines of Complex Order

open access: yes, 2013
We extend the concept of exponential B-spline to complex orders. This extension contains as special cases the class of exponential splines and also the class of polynomial B-splines of complex order.
Massopust, Peter
core   +1 more source

Unleashing the Power of Machine Learning in Nanomedicine Formulation Development

open access: yesAdvanced Functional Materials, EarlyView.
A random forest machine learning model is able to make predictions on nanoparticle attributes of different nanomedicines (i.e. lipid nanoparticles, liposomes, or PLGA nanoparticles) based on microfluidic formulation parameters. Machine learning models are based on a database of nanoparticle formulations, and models are able to generate unique solutions
Thomas L. Moore   +7 more
wiley   +1 more source

On Weighted Average Interpolation with Cardinal Splines [PDF]

open access: yesActa Applicandae Mathematicae, 2017
Given a sequence of data {yn}n∈Z with polynomial growth and an odd number d, Schoenberg proved that there exists a unique cardinal spline f of degree d with polynomial growth such that f (n) = yn for all n ∈ Z. In this work, we show that this result also holds if we consider weighted average data f ∗ h(n) = yn, whenever the average function h satisfies
López-Salazar Codes, Jeronimo   +1 more
openaire   +3 more sources

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