Blind-spot problem for motor vehicles.
We consider the problem of designing a passenger side mirror for an automobile that does not have a blind spot and that does not distort the image. Our model consists of a coupled pair of partial differential equations that do not have a common solution. Using a best mean-square-error functional, we find approximate solutions using nonlinear optimization. In one case a local minimum provides a mirror that solves the problem, but it does not reverse the image.
Hicks
R Andrew
RA
Department of Mathematics and Computer Science, Drexel University, 3141 Chestnut Street, Philadelphia, Pennsylvania 19104-2875, USA. ahicks@math.drexel.edu
Perline
Ronald K
RK