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We develop a computational approach that significantly improves the efficiency of Bayesian optimal experimental design (BOED) using local radial basis functions (RBFs). The presented RBF--BOED method uses the intrinsic ability of RBFs to…

Computational Physics · Physics 2025-05-20 Tianyi Chu , Jonathan B. Estrada , Spencer H. Bryngelson

Porous materials are ubiquitous in various engineering and geological applications, where their permeability plays a critical role in viscous fluid flow and transport phenomena. Understanding and characterizing the microscale properties,…

Fluid Dynamics · Physics 2025-03-11 David Krach , Matthias Ruf , Holger Steeb

We describe a two-level method for computing a function whose zero-level set is the surface reconstructed from given points scattered over the surface and associated with surface normal vectors. The function is defined as a linear…

Graphics · Computer Science 2017-08-23 Rongjiang Pan , Vaclav Skala

The tenfold classification provides a powerful framework for organizing topological phases of matter based on symmetry and spatial dimension. However, it does not offer a systematic method for transitioning between classes or engineering…

Mesoscale and Nanoscale Physics · Physics 2025-08-08 Amit Goft , Eric Akkermans

In this paper, we deal with the challenging computational issue of interpolating large data sets, with eventually non-homogeneous densities. To such scope, the Radial Basis Function Partition of Unity (RBF-PU) method has been proved to be a…

Numerical Analysis · Mathematics 2016-11-23 Roberto Cavoretto , Alessandra De Rossi , Emma Perracchione

A porous scaffold is a three-dimensional network structure composed of a large number of pores, and triply periodic minimal surfaces (TPMSs) are one of conventional tools for designing porous scaffolds. However, discontinuity,…

Graphics · Computer Science 2019-08-07 Chuanfeng Hu , Hongwei Lin

This paper presents three different constitutive approaches to model thin rotation-free shells based on the Kirchhoff-Love hypothesis. One approach is based on numerical integration through the shell thickness while the other two approaches…

Computational Engineering, Finance, and Science · Computer Science 2017-10-25 Farshad Roohbakhshan , Roger A. Sauer

Developing successful scaffolds requires clinicians to adopt a multidisciplinary approach in order to understand and stimulate the natural bone regeneration process. A variety of natural and synthetic biomaterials, including naturally…

Tissues and Organs · Quantitative Biology 2016-10-28 Elaine R. Durham , Giuseppe Tronci , Xuebin Yang , David J. Wood , Stephen J. Russell

As modern electronic devices are increasingly miniaturized and integrated, their performance relies more heavily on effective thermal management. Two-phase cooling methods enhanced by porous surfaces, which capitalize on thin-film…

Machine Learning · Computer Science 2023-10-31 Jonathan Tammer Eweis-LaBolle , Chuanning Zhao , Yoonjin Won , Ramin Bostanabad

We study the dynamics of a seeding experiment where a fibrous scaffold material is colonized by two types of cell populations. The specific application that we have in mind is related to the idea of meniscus tissue regeneration. In order to…

We present a novel type of neural fields that uses general radial bases for signal representation. State-of-the-art neural fields typically rely on grid-based representations for storing local neural features and N-dimensional linear…

Computer Vision and Pattern Recognition · Computer Science 2023-09-28 Zhang Chen , Zhong Li , Liangchen Song , Lele Chen , Jingyi Yu , Junsong Yuan , Yi Xu

Thin sheets can be assembled into tubular origami structures that combine deployability with pronounced anisotropic stiffness, enabling applications ranging from robotics to deployable systems. However, most existing tubular origami designs…

Applied Physics · Physics 2026-04-15 Mingkai Zhang , Davood Farhadi

Starch based scaffolds are considered as promising biomaterials for bone tissue engineering. In this study, a highly porous starch/polyvinyl alcohol (PVA) based nanocomposite scaffold with a gradient pore structure was made by incorporating…

Applied Physics · Physics 2018-10-08 Fereshtehsadat Mirab , Mohammadjavad Eslamian , Reza Bagheri

Non-rigid 3D mesh matching is a critical step in computer vision and computer graphics pipelines. We tackle matching meshes that contain topological artefacts which can break the assumption made by current approaches. While Functional Maps…

Computer Vision and Pattern Recognition · Computer Science 2025-09-09 Aymen Merrouche , Stefanie Wuhrer , Edmond Boyer

In this paper two common collocation approaches based on radial basis functions have been considered; one be computed through the integration process (IRBF) and one be computed through the differentiation process (DRBF). We investigated the…

Mathematical Physics · Physics 2010-08-17 K. Parand , S. Abbasbandy , S. Kazem , A. R. Rezaei

In the realm of functional materials, the production of two-dimensional structures with tuneable porosity is of paramount relevance for many practical applications: surfaces with regular arrays of pores can be used for selective adsorption…

Soft Condensed Matter · Physics 2019-10-23 Carina Karner , Emanuela Bianchi , Christoph Dellago

Ordered protein layers are the subject of active biomedical research for their usually interesting physicochemical properties, e.g. permeability, stiffness and pours structure. In presented work, we focused on layers build of fibrinogen…

Materials Science · Physics 2012-08-02 Michal Ciesla , Jakub Barbasz

Scattered data interpolation schemes using kriging and radial basis functions (RBFs) have the advantage of being meshless and dimensional independent, however, for the data sets having insufficient observations, RBFs have the advantage over…

Numerical Analysis · Mathematics 2018-06-12 Pankaj K Mishra , Sankar K Nath , Mrinal K Sen , Gregory E Fasshauer

Laser Powder Bed Fusion has become a widely adopted method for metal Additive Manufacturing (AM) due to its ability to mass produce complex parts with increased local control. However, AM produced parts can be subject to undesirable…

Machine Learning · Computer Science 2022-05-13 Francis Ogoke , Kyle Johnson , Michael Glinsky , Chris Laursen , Sharlotte Kramer , Amir Barati Farimani

We present a novel derivative-free interpolation based optimization algorithm. A trust-region method is used where a surrogate model is realized via an interpolation framework. The framework for interpolation is provided by Universal…

Optimization and Control · Mathematics 2018-05-31 Tom Lefebvre , Frederik De Belie , Guillaume Crevecoeur