7 citations · 16 across the 4 of their papers we have counts for
4 papers
First Integrals of Homogeneous Vector Fields and the Eigenmirror Problem of Geometric Optics
R. Andrew Hicks
The eigenmirror problem asks: ``When does the reflection of a surface in a curved mirror appear undistorted to an observer?'' We call such a surface an {\em eigensurface} and the c…
Imaging with two-axis micromirrors
R. Andrew Hicks, Vasileios T. Nasis, Timothy P. Kurzweg
We demonstrate a means of creating a digital image by using a two axis tilt micromirror to scan a scene. For each different orientation we extract a single grayscale value from the…
An exact expression for the image error in a catadioptric sensor
R. Andrew Hicks
A catadioptric sensor induces a projection between a given object surface and an image plane. The prescribed projection problem is the problem of finding a catadioptric sensor that…
Differential Methods in Catadioptric Sensor Design with Applications to Panoramic Imaging
R. Andrew Hicks
We discuss design techniques for catadioptric sensors that realize given projections. In general, these problems do not have solutions, but approximate solutions may often be found…