平面上各向同性高斯随机场的形变估计
Estimating deformations of isotropic Gaussian random fields on the plane
摘要：
基于变形随机场的单个实现的稠密观测，提出了一种估计$\mathbb{R}^2$上各向同性高斯随机场变形的新方法.在这个框架下，我们研究的识别和估计的变形。然后，我们提出了一个完整的方法包-从模型假设的算法恢复的变形-类的非平稳过程通过变形各向同性高斯随机场。
英文摘要：
This paper presents a new approach to the estimation of the deformation of an isotropic Gaussian random field on $\mathbb{R}^2$ based on dense observations of a single realization of the deformed random field. Under this framework we investigate the identification and estimation of deformations. We then present a complete methodological package--from model assumptions to algorithmic recovery of the deformation--for the class of nonstationary processes obtained by deforming isotropic Gaussian random fields.
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