Estimate of Color Depth Discretization Impact on the Accuracy of an Ideal Pinhole Camera

摘要

This paper investigates the limits of precision caused by color depth discretization in motion capture with known sphere marker in a uniform lighted scene for an ideal pinhole camera using a black box model. For each marker position its ellipse projection in the pixel plane is computed and the final pixel values are established based on how match a pixel area is covered by the marker’s image. The color of some boundary pixels loses information due to the color depth discretization and therefore the same image represents a range of marker location in space and not a single location. The maximum variations on all the major axis are computed with a precision of 100 nm for each marker location and a final analysis is performed using this findings.