Patent ID: 7324895

Claim:
A vehicle navigation system that receives sensor data from a plurality of sensors, and provides a map image that is presented on a display, the system comprising: a navigation map data memory that includes map data indicative of roadways stored in Cornu spiral form and data indicative of a unit Cornu spiral; and a navigation processing unit that receives the sensor data, and requests map data from the navigation map data memory associated with the sensor data, and computes the map image from the map data, where terms of polynomials of the unit Cornu spiral are stored in the navigation map data memory and the map image is computed using the terms of polynomials of the unit Cornu spiral, where the terms of polynomials are associated with Taylor series expressions indicative of the Cornu spiral, where the Cornu spiral is of the form l=Ka 2 , where l is indicative of arc length and K is indicative of curvature.