Straight Lines and Circles in the Log-Polar Image

Foveal or spatially-variant image representations are important components of active vision systems. Log-polar sampling is a particularly powerful example as a result of the simplicity with which expansion and rotation can be handled. These properties are exploited here for the detection of general straight lines, line segments, and circles through the foveation point. An efficient and practical method based on convolution is described, and investigated in the context of a simple foveation strategy.