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Shape-from-Template with Camera Focal Length Estimation
One of the major and open research objectives in computer vision is to automatically reconstruct the 3D shape of a deformable object from a monocular...
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Shape preserving rational [3/2] Hermite interpolatory subdivision scheme
In this paper, a new Hermite interpolatory subdivision scheme for curve interpolation is introduced. The scheme is constructed from the Rational...
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The Dependence of the Antenna Directional Pattern on the Body Shape
We consider a mathematical model for electrodynamic analysis of antennas. The problem is reduced to solving an integral equation over an antenna...
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Numerical Solution to a Free Boundary Problem for the Stokes Equation Using the Coupled Complex Boundary Method in Shape Optimization Setting
A new reformulation of a free boundary problem for the Stokes equations, which govern a viscous flow with an overdetermined condition on the free...
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An investigation on multilayer shape memory polymers under finite bending through nonlinear thermo-visco-hyperelasticity
This study presents a semi-analytical solution to describe the behavior of shape memory polymers (SMPs) based on the nonlinear...
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Geometric design of electric motors using adjoint-based shape optimization
Interest in electric aircraft has increased due to developments in electric propulsion technology and concerns regarding aircraft carbon emissions....
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Sharp-Interface Limit of a Multi-phase Spectral Shape Optimization Problem for Elastic Structures
We consider an optimization problem for the eigenvalues of a multi-material elastic structure that was previously introduced by Garcke et al....
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Evolution of the Shape of a Gas Cloud during Pulsed Laser Evaporation into Vacuum: Direct Simulation Monte Carlo and the Solution of a Model Equation
AbstractThe dynamics of gas expansion during nanosecond laser evaporation into vacuum is studied. The problem is considered in an axisymmetric...
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Shape Spaces: From Geometry to Biological Plausibility
This chapter reviews several Riemannian metrics and evolution equations in the context of diffeomorphic shape analysis. After a short review of...
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A second-order-accurate approximation for the shape of a sessile droplet deformed by gravity
We analytically solve the Young–Laplace equation for the shape of a stationary sessile droplet pinned to an inclined substrate, assuming that the...
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How Do We Know the Shape of a Function?
Consider the graph of \(f(x)=x^3-3003x^2+3006000x\) in...
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Interfaces: Modeling, Analysis, Numerics
These lecture notes are dedicated to the mathematical modelling, analysis and computation of interfaces and free boundary problems appearing in...
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Shape Derivative for Penalty-Constrained Nonsmooth–Nonconvex Optimization: Cohesive Crack Problem
A class of non-smooth and non-convex optimization problems with penalty constraints linked to variational inequalities is studied with respect to its...
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Influence of the Shape and Geometric Parameters of Clasps on the Strength and Holding Force of Removable Orthopedic Dentures
We propose a procedure for the evaluation of the characteristics of clasps of removable partial dentures made of thermoplastic materials. The...
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Shape preserving fractal multiquadric quasi-interpolation
In this article, we construct a novel self-referential fractal multiquadric function which is symmetric about the origin. The scaling factors are...
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Compensated Convex-Based Transforms for Image Processing and Shape Interrogation
This paper reviews some recent applications of the theory of the compensated convex transforms or of the proximity hull as developed by the authors...
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Shape Sensitivity of Eigenvalue Functionals for Scalar Problems: Computing the Semi-derivative of a Minimum
This paper is devoted to the computation of certain directional semi-derivatives of eigenvalue functionals of self-adjoint elliptic operators...
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Some recent results on the geometry of complex polynomials: the Gauss–Lucas theorem, polynomial lemniscates, shape analysis, and conformal equivalence
In this article, we survey the recent literature surrounding the geometry of complex polynomials. Specific areas surveyed are (i) Generalizations of...
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Analysis of the Shape of Wave Packets in the “Half Space–Layer–Layer with Rigid Lid " Three-Layer Hydrodynamic System
We study the process of propagation of weakly nonlinear wave packets on the contact surfaces of a “half space–layer–layer with rigid lid”...