Calibrating camera radial distortion with cross-ratio invariability

✍ Scribed by Guangjun Zhang; Junji He; Xianming Yang

• Book ID: 104159834
• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 383 KB
• Volume: 35
• Category: Article
• ISSN: 0030-3992
• DOI: 10.1016/s0030-3992(03)00053-7

✦ Synopsis

The calibration of camera distortion plays an important role in the ÿeld of industrial machine vision application. In this paper, a novel approach for calibrating camera radial distortion is presented based on cross-ratio invariability for perspective projection. Assumed to be with one-order radial distortion, the image coordinates and the cross-ratio of only four collinear points in space are needed in this approach. The cross-ratio, easily known from a calibration target, is identical with that of the four corresponding image points. This is called the cross-ratio invariability for perspective projection. A monadic two-order equation is built based on the cross-ratio invariability, which gives an accurate solution to radial distortion coe cients. A digital simulation and a practical image correction prove this approach to be simple, accurate, e cient and time saving.