Cardinal Hermite Spline Interpolation with Shifted Nodes [PDF]
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
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
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]
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
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
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]
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
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
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]
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

