Earticle

The temporal discretisation of a moderate semilinear parabolic problem in an abstract setting by the two-step backward differentiation formula with variable step sizes is analysed. Stability as well as optimal smooth data error estimates are derived if the ratios of adjacent step sizes are bounded from above by 1.91.

It is important to identify informative variables in high dimensional data analysis; however, it becomes a challenging task when covariates are contaminated by measurement error due to the bias induced by measurement error. In this article, we present a two-step approach for variable selection in the presence of measurement error. In the first step, we directly select important variables from the contaminated covariates as if there is no measurement error. We then apply, in the following step, orthogonal regression to obtain the unbiased estimates of regression coefficients identified in the previous step. In addition, we propose a modification of the two-step approach to further enhance the variable selection performance. Various simulation studies demonstrate the promising performance of the proposed method.

본 논문에서는 2단 가변 밸브 리프트 모듈의 조립불량 검사를 수행하기 위하여, 레이저 비전 기반의 높이 측정 시스템을 개발하였다. 측정방식은 레이저 비전 센서 모듈을 이용하여 삼각 측량법의 원리에 기초하여 3차원 점군집(point cloud) 데이터를 수집하고, 이를 바탕으로 밸브 위치의 높이 차이를 계산하였다. 본 논문에서는 먼저, 측정 시스템의 구성과 제안된 높이 측정 알고리즘을 설명하였다. 그리고, 레이저 비전 기반의 3차원 측정을 위한 실험장치를 구성하였다. 마지막으로, 실험장치의 정확성과 반복성을 검증하기 위해서, 2단 가변 밸브 리프트 모듈에서의 래쉬조정기 및 밸브간의 고저 차이를 측정하는 실험들을 여러 번 수행하였다. 실험 수행결과, 제안된 레이저 비전 기반의 높이 측정 시스템은 2단 가변밸브 리프트 모듈 조립 검사에 대한 높은 정확성, 반복성 및 안정성을 확보하고 있음을 확인할 수 있었다.

A laser-vision-based height measurement system is developed and implemented for the inspection of two-step variable valve lift module assemblies. The proposed laser-vision sensor module is designed based on the principle of laser triangulation. This paper summarizes the work on 3D point cloud data collection and height difference measurements. The configuration of the measurement system and the proposed height measurement algorithm are described and analyzed in detail. Additional measurement experiments on the height differences of valves and lash adjusters of a two-step variable valve lift module were implemented repeatedly to evaluate the accuracy and repeatability of the proposed measurement system. Experimental results show that the proposed laser-vision-based height measurement system achieves high accuracy, repeatability, and stabilization for the inspection of two-step variable valve lift module assemblies.