点采样闭曲线的谱均值
A spectral mean for point sampled closed curves
摘要：
我们提出了一个频谱平均值的闭曲线描述的样本点在其边界上的错位和噪声。首先，我们忽略未对准，并在傅立叶域中导出模型和噪声参数的最大似然估计。我们估计的未知曲线的反变换，并得出的分布的综合平方误差。然后，我们通过一个移动的参数同构和最小化一个合适的目标函数同时在未知的曲线和错位参数的错位模型。最后，该方法是说明模拟数据，以及由宇航员在航天飞机任务期间拍摄的塔纳湖的照片。
英文摘要：
We propose a spectral mean for closed curves described by sample points on its boundary subject to mis-alignment and noise. First, we ignore mis-alignment and derive maximum likelihood estimators of the model and noise parameters in the Fourier domain. We estimate the unknown curve by back-transformation and derive the distribution of the integrated squared error. Then, we model mis-alignment by means of a shifted parametric diffeomorphism and minimise a suitable objective function simultaneously over the unknown curve and the mis-alignment parameters. Finally, the method is illustrated on simulated data as well as on photographs of Lake Tana taken by astronauts during a Shuttle mission.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
