  We perform high fidelity simulations of a wide-field telescopic survey
searching for Near-Earth Objects (NEO) larger than 140\,m, focusing on the
observational and detection model, detection efficiency and accuracy. As a test
survey we select the Large Synoptic Survey Telescope. We use its proposed
pointings for a 10-year mission and model the detection of near-Earth objects
in the fields. We discuss individual model parameters for magnitude losses,
vignetting, fading, asteroid rotation and colors, fill factor, limiting
magnitude, rate of motion, field shape and rotation and survey patterns and we
assess results in terms of the cumulative completeness of the detected
population as a function of size and time. Additionally, we examine the sources
of modeling uncertainty and derive the overall NEO population completeness for
the baseline LSST survey to be $55\pm5$% for NEOs with absolute magnitude
brighter than 22. Including already discovered objects and ongoing surveys, the
population completeness at the end of the LSST baseline survey should reach
$\sim 77\%$.
