نتایج جستجو برای: irregular geometric medium

تعداد نتایج: 353681  

2008
Andreas Weinmann

The present article deals with convergence and smoothness analysis of geometric, nonlinear, subdivision schemes in the presence of extraordinary points. For a certain class of stationary linear subdivision schemes we can show that if a convergent linear scheme and its nonlinear analogue meet a proximity condition, then the nonlinear scheme converges for dense enough input data. Furthermore, we ...

2009
Andreas Weinmann

The present article deals with convergence and smoothness analysis of geometric, nonlinear, subdivision schemes in the presence of extraordinary points. For a certain class of stationary linear subdivision schemes we can show that if a convergent linear scheme and its nonlinear analogue meet a proximity condition, then the nonlinear scheme converges for dense enough input data. Furthermore, we ...

Journal: :CoRR 2016
Ke Liu Ye Guo Zeyun Yu

Development of additive manufacturing in last decade greatly improves tissue engineering. During the manufacturing of porous scaffold, simplified but functionally equivalent models are getting focused for practically reasons. Scaffolds can be classified into regular porous scaffolds and irregular porous scaffolds. Several methodologies are developed to design these scaffolds. A novel method is ...

2009
Andreas Weinmann

The present article deals with convergence and smoothness analysis of geometric, nonlinear, subdivision schemes in the presence of extraordinary points. We discuss when the existence of a proximity condition between a linear scheme and its nonlinear analogue implies convergence of the nonlinear scheme (for dense enough input data). Furthermore, we obtain C1 smoothness of the nonlinear limit fun...

1999
Luiz Velho Luiz Henrique de Figueiredo Jonas Gomes

The polygonization, or tesselation, of surfaces is a classical problem that has many practical applications in computer graphics and geometric modeling. The problem consists in computing a piecewise linear approximation for a smooth surface described either by parametric or implicit functions. A polygonal mesh is the one of the simplest forms of surface description and therefore is the represen...

Journal: :Stochastics and Dynamics 2022

We extend the recently developed rough path theory for Volterra equations from [F. Harang and S. Tindel, driven by signals, Stoch. Process. Appl. 142 (2021) 34–78] to case of more noise and/or singular kernels. It was already observed in that introduced there did not satisfy any geometric relation, similar classical theory. Thus, an extension irregular driving signals requires a deeper understa...

2002
Stefanie Hahmann Georges-Pierre Bonneau Alex Yvart

In previous works a polynomial interpolation method for triangular meshes has been introduced. This interpolant can be used to design smooth surfaces of arbitrary topological type. In a design process, it is very useful to be able to locate the deformation made on a geometric model. The previously introduced interpolant has the so-called strict locality property: when a mesh vertex is changed, ...

Journal: :Computer Vision and Image Understanding 2007
Evgeni Magid Octavian Soldea Ehud Rivlin

Estimating intrinsic geometric properties of a surface from a polygonal mesh obtained from range data is an important stage of numerous algorithms in computer and robot vision, computer graphics, geometric modeling, and industrial and biomedical engineering. This work considers different computational schemes for local estimation of intrinsic curvature geometric properties. Four different algor...

2009
Radu Bogdan Rusu Nico Blodow Zoltan Csaba Marton Michael Beetz

In this paper we present a framework for 3D geometric shape segmentation for close-range scenes used in mobile manipulation and grasping, out of sensed point cloud data. Our proposed approach proposes a robust geometric mapping pipeline for large input datasets that extracts relevant objects useful for a personal robotic assistant to perform manipulation tasks. The objects are segmented out fro...

2015
Bert Jüttler Angelos

Subdivision surfaces are proven to be a powerful tool in geometric modeling and computer graphics, due to the great flexibility they offer in capturing irregular topologies. This paper discusses the robust and efficient implementation of an isogeometric discretization approach to partial differential equations on surfaces using subdivision methodology. Elliptic equations with the Laplace-Beltra...

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