On the Stability and Convergence Rate of Some Discretized Schemes for Parametric Deformable Models Used in Medical Image Analysis

机译：关于用于医学图像分析的参数化可变形模型的一些离散方案的稳定性和收敛速度

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In order to find the energy-minimizing surface and to reduce the computational requirements, we consider an associated simplified model, [1], and we derive an algorithm for solving numerically the corresponding Euler-Gauss-Ostrogradsky equation of Calculus of Variations. The stability and the convergence of the algorithm are discussed, together with some aspects regarding the statistical modeling, applied in medical imaging.

机译：为了找到能量最小的表面并减少计算需求，我们考虑一个相关的简化模型，[1]，并推导了一种算法，用于数值求解相应的微积分微分方程Euler-Gauss-Ostrogradsky方程。讨论了算法的稳定性和收敛性，以及与统计建模有关的方面，并将其应用于医学成像。

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来源
《International conference on advancements of medicine and health care through technology》|2011年|p.212-219|共8页
会议地点 Cluj-Napoca(RO);Cluj-Napoca(RO)
作者
A.I. Mitrea; O.M. Gurzau; P. Mitrea;
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作者单位

Technical University of Cluj-Napoca, Dep. of Mathematics, Romania;

Technical University of Cluj-Napoca, Dep. of Mathematics, Romania;

Technical University of Cluj-Napoca, Dep. of Computer Science, Romania;

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会议组织
原文格式 PDF
正文语种 eng
中图分类保健组织与事业（卫生事业管理）;
关键词
parametric deformable model; EGO-equation; EGO-algorithm; stability; convergence rate;

机译：参数形变模型自我方程自我算法稳定性;收敛速度;

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1. STABILITY AND CONVERGE_CE OF TWO DISCRETE SCHEMES FOR A DEGENERATE SOLUTAL NON-ISOTHERMAL PHASE-FIELD MODEL [J] . FRANCISCO GUILL_N-GONZ_LEZ, JUAN VICENTE GUTI_RREZ-SANTACREU RAIRO. Mathematical Modelling and Numerical Analysis. = Modelisation Mathematique et Analyse Numerique . 2009,第3期

机译：退化固溶非等温相场模型的两种离散格式的稳定性和收敛性
2. Convergence analysis of multidimensional parametric deformable models [J] . R. Berenguer-Vidal, R. Verdu-Monedero, J. Morales-Sanchez Computer vision and image understanding . 2015,第juna期

机译：多维参数可变形模型的收敛性分析
3. Convergence and stability analysis of the deformable discrete element method [J] . Madan Nikhil, Rojek Jerzy, Nosewicz Szymon International Journal for Numerical Methods in Engineering . 2019,第6期

机译：可变形离散元素法的收敛性和稳定性分析
4. Improving the Robustness in Extracting 3D Point Landmarks from 3D Medical Images Using Parametric Deformable Models [C] . Manfred Alker, Sonke Frantz, Karl Rohr, International Conference on Medical Image Computing and Computer-Assisted Intervention . 2001

机译：使用参数可变形模型提高从3D医学图像中提取3D点地标的鲁棒性
5. A knowledge-based deformable surface model for analysis of medical images. [D] . Ghanei, Amir. 2001

机译：基于知识的可变形表面模型，用于医学图像分析。
6. A Robust and Accurate Non-rigid Medical Image Registration Algorithm Based on Multi-level Deformable Model [O] . Yanli WAN, Hongpu HU, Yanli XU, 2017

机译：基于多级可变形模型的鲁棒且精确的非刚性医学图像配准算法
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8. Parametric and Non-Parametric Schemes for Discrete Time Signal Discrimination. [R] . Haimerl, J. A. 1990

机译：离散时间信号判别的参数和非参数方案。

On the Stability and Convergence Rate of Some Discretized Schemes for Parametric Deformable Models Used in Medical Image Analysis

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