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Leaf Surface Reconstruction Using a Hybrid Interpolation Finite Element Method
The goals of the research presented in this paper are first, construction a leaf surface from large real 3D scanned data points using a new hybrid...
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Modelling leaf surface reconstruction using Bernstein polynomials method
In this research paper, we adapt for the first time Bernstein polynomials for reconstructing a continuous differentiable surfaces of a real leaf from...
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GPU-native Dynamic Octree-based Grid Adaptation to Moving Bodies
AbstractThe present paper is devoted to the development of algorithms for dynamic grid adaptation to the geometry of an immersed moving rigid body...
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RETRACTED ARTICLE: AHI: a hybrid machine learning model for complex industrial information systems
A summary of the numerous hybrid machine learning (HML) patterns is provided in this paper, which covers the complete ML lifecycle from model...
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Transposition of Biomimetical Principles into Generative Design: Example of the Species Campanula patula L
This paper deals with the flower geometry analysis of the species Campanula patula L. (Campanulaceae) and attempts to use a freeform curve to...
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A Panoramic Tour
This chapter highlights four different applications of and structural results about...
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Parallelization strategies for resolved simulations of fluid-structure-particle interactions
Fluid-structure-particle interactions in three spatial dimensions happen in many environmental and engineering flows. This paper presents the...
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A Tropical View on Landau–Ginzburg Models
This paper, largely written in 2009/2010, fits Landau–Ginzburg models into the mirror symmetry program pursued by the last author jointly with Mark...
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Holomorphic Foliations: Singularities and Local Geometric Aspects
This text has been written with the aim of providing a fast introduction to the framework of holomorphic foliations with singularities. Our...
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A taxonomy of constraints in black-box simulation-based optimization
The types of constraints encountered in black-box simulation-based optimization problems differ significantly from those addressed in nonlinear...
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A modeling framework for adaptive collective defense: crisis response in social-insect colonies
Living systems, from cells to superorganismic insect colonies, have an organizational boundary between inside and outside and allocate resources to...
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Basic Principles of Classical Mechanics
To describe the motion of mechanical systems one uses a variety of mathematical models which are based on different principles - laws of motion. In...
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From Knot Invariants to Knot Dynamics
This paper is an introduction to combinatorial topology via state summation models for the Jones polynomial and its generalizations and also an...
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Guiding the New, Revealing the Old
Editor-in-Chief Kim Williams discusses the versatility and range of tools used in exploring questions of form-finding, both ancient and modern, and...
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Analysis of the hot gas ingress into the wheel space of an axial turbine stage
The thermal efficiency of gas turbines strongly depends on the turbine inlet temperature. Increasing the inlet gas temperature improves the engine...
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Sampling and Estimation for Stereology
Chapter 2 covers geometric sampling and mean values of random variables observable on the intersection between a non-random target object and a...
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Sound Synthesis
In our survey, sound synthesis refers to the process of reproducing a sound with a computing procedure or mathematical formula to estimate each...
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Concrete One Complex Dimensional Moduli Spaces of Hyperbolic Manifolds and Orbifolds: Kleinian Groups and the Generalised Riley Slices
The Riley slice is arguably the simplest example of a moduli space of Kleinian groups; it is naturally embedded in ℂ, and has a natural coordinate...
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Arc Diagrams on 3-Manifold Spines
We develop a theory of link projections to trivalent spines of 3-manifolds. We prove a Reidemeister Theorem providing a set of combinatorial moves...
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Contact geometry in the restricted threebody problem: a survey
This survey is based on lecture notes for an online mini-course taught for postgraduate students at UDELAR, Montevideo, Uruguay, in November 2020,...