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Physical Sciences and Mathematics Commons

Open Access. Powered by Scholars. Published by Universities.®

2006

California Polytechnic State University, San Luis Obispo

Statistics and Probability

Articles 1 - 3 of 3

Full-Text Articles in Physical Sciences and Mathematics

Additional Algorithms For Sensor Chip Alignment To Blind Datums, Gary B. Hughes Aug 2006

Additional Algorithms For Sensor Chip Alignment To Blind Datums, Gary B. Hughes

Statistics

Alignment of the sensor focal plane array (FPA) to optical components is a critical design feature. Imaging system designs include reference datums that provide the basis for manufacturing alignment in each sub-assembly. Measurement of z and parallelism positioning can be problematic, since the relevant datum features are often beneath the mounting platform and are obscured to the measurement system. General algorithms for determining sensor chip alignment when datum features are inaccessible to the measurement system have been developed. Pre-characterization measurements of datum surfaces are stored for later use during alignment measurement to determine datum locations. The algorithms are useful for …


Algorithms For Sensor Chip Alignment To Blind Datums, Gary B. Hughes Jul 2006

Algorithms For Sensor Chip Alignment To Blind Datums, Gary B. Hughes

Statistics

The sensor element of an imaging system should be mounted into its housing in such a way that the scene can be properly focused onto the sensor element's focal plane over the active area. Operational imaging requirements are forcing increasingly smaller tolerances on sensor alignment, and manufacturing systems must improve alignment capability to keep pace. Imaging system designs include reference datums that provide the basis for manufacturing alignment of optical components in each subassembly. Design constraints for alignment of the sensor element into the camera housing typically include x,y,z, clocking, and parallelism specifications. Measurement of z and parallelism positioning is …


Existence Of Optimal Controls For Singular Control Problems With State Constraints, Amarjit Budhiraja, Kevin Ross Jan 2006

Existence Of Optimal Controls For Singular Control Problems With State Constraints, Amarjit Budhiraja, Kevin Ross

Statistics

We establish the existence of an optimal control for a general class of singular control problems with state constraints. The proof uses weak convergence arguments and a time rescaling technique. The existence of optimal controls for Brownian control problems, associated with a broad family of stochastic networks, follows as a consequence.