Precise measurement of linear displacement by spatial phase detection.

extremal region detection guided by maxima of gradient magnitude

a problem of computer vision applications is to detect regions of interest under dif- ferent imaging conditions. the state-of-the-art maximally stable extremal regions (mser) detects affine covariant regions by applying all possible thresholds on the input image, and through three main steps including: 1) making a component tree of extremal regions’ evolution (enumeration), 2) obtaining region ...

Imaging by a phase grating used in displacement measurement

Precision displacement measurement with a phase grating based on grating imaging is proposed. In this imaging system, a conventional amplitude grating as a scale is replaced by a phase grating. That generates a sinusoidal pattern, which works as an optical scale, with higher amplitude than the conventional imaging system with an amplitude grating. In this paper, analysis using an optical transf...

Detection of Outliers and Influential Observations in Linear Ridge Measurement Error Models with Stochastic Linear Restrictions

The aim of this paper is to propose some diagnostic methods in linear ridge measurement error models with stochastic linear restrictions using the corrected likelihood. Based on the bias-corrected estimation of model parameters, diagnostic measures are developed to identify outlying and influential observations. In addition, we derive the corrected score test statistic for outliers detection ba...

Precise Gene Expression Measurement with Outlier Detection

High resolution displacement detection by speckle pattern analysis : accuracy limits in linear displacement speckle metrology

We propose a simple reflection measurement setup and a motion evaluation procedure based on a two dimensional recording of subsequent speckle images. The averaging of cross correlation functions is used to measure displacements. We demonstrate experimentally a 10 nm precision on a 50 μm measurement range limited by systematical errors. An image library is proposed to extend the measurement rang...