An automatic calibration bench to calibrate line scales up to three meters has been developed at the Centro Nacional de Metrologia. It incorporates an heterodyne laser interferometer to follow the position of a carriage that support a microscope with a CCD camera. The images are processed using a novel robust algorithm to determine the center of each line. The carriage travels along guide ways and is commanded by a computer that controls the servomotor that moves it, allowing to complete the calibration automatically. The measurement and control software developed uses an image processing algorithm based on Gabor filters and robust statistics to discriminate between lines and unwanted features that may exist such as stain, scratches, rust, etc. It then calculates the absolute position of each line by coupling the reading of the carriage position given by the interferometer and the centerline position of the line in the image. Additionally, the software corrects the laser readings for ambient condition variations and controls the progress of the carriage.
The mechanical design consists of a stiff bench with guide ways on which the carriage travels. Although the carriage travels in non-kinematic guide ways, the microscope and CCD camera sit on a plate that is kinematically supported. The movement is provided by a servomotor and transmitted by means of a screw. Uncertainty is expected to be between 3 and 10 um which is common to other similar systems. The gross advantage is the ability to calibrate automatically and discriminate defects on the scale.
This paper proposes a robust method for computing discontinuous phase maps. The proposed algorithm is based on the minimization of a edge-preserving regularized cost functional. We use a robust regularized potential based on the paradigm of the Plate with Adaptive Rest Condition (PARC). Our algorithm computes the phase from fringe patterns with discontinuities on the fringe pattern due to steps on the phase and changes on the illumination component. The method is presented in the context of calibrating Gauge Blocks by interferometric method. The performance of the method is demonstrated by numerical experiments on both synthetic and real data.