图像帧间变形随机估计的收敛特性

A. Tashlinskii, A. Zhukova, D. Kraus
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引用次数: 0

摘要

研究了图像帧间几何变形数值描述的几种方法,对非识别中继随机梯度估计迭代时的参数估计行为进行了研究。选取估计向量欧几里得失配距离的概率密度作为构成数值的特征参数。这使得保证研究对所使用的框架间几何变形模型参数集的不变性成为可能。研究了收敛速度的数学期望、超过给定阈值的概率和欧氏失配距离的置信区间作为特征。应用概率数学模型计算欧几里得失配距离的概率密度。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Convergence characteristics at stochastic estimation of image inter-frame deformations
Several approaches to the numerical description of image inter-frame geometric deformations parameters estimates behavior at iterations of non-identification relay stochastic gradient estimation are considered. The probability density of the Euclidean mismatch distance of estimates vector is chosen as an argument of the characteristics forming the numerical values. It made it possible to ensure invariance of research to the set of parameters of the used inter-frame geometric deformations model. The mathematical expectation, the probability of exceeding a given threshold value of the convergence rate and the confidence interval of the Euclidean mismatch distance were investigated as characteristics. Probabilistic mathematical modeling is applied to calculate the probability density of the Euclidean mismatch distance.
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