A segment detection system automatically, contactlessly, rapidly, and precisely detects a segment along an edge, such as a boundary, of an object in a digitized image. The segment detection system includes an imager for capturing an image of an object and converting the image into an electrical signal. A computer is connected to the camera for receiving the electrical signal. A machine vision system is associated with the computer and is adapted to analyze the image. A segment detection program is disposed in the computer for driving the computer and the machine vision system in accordance with the present invention. The segment detection program includes an initialization subroutine and a matching subroutine. The initialization subroutine configures the program to search for a particular target polynomial equation. The matching subroutine derives a test polynomial equation that represents a test segment from a test edge of the object based upon an analysis of the image. Further, the matching subroutine determines whether the test segment matches the target segment by comparing corresponding coefficients of the test polynomial equation and the target polynomial equation.