In this paper we present an algorithm to automatically generate sketches from stereo image pairs. Stereo analysis is initially performed on the input stereo pair to estimate a dense depth map. An Edge Combination image is computed by localising object contour edges, as indicated by the depth map, within the intensity reference image. We then approximate these pixel-represented contours by devising a new parametric curve fitting algorithm. The algorithm successfully recovers a minimum number of control points required to fit a Bezier curve onto the pixel-edge dataset in the Edge Combination image. Experiments demonstrate how the Edge Combination algorithm, used for dominant edge extraction, can be combined with a curve fitting algorithm to automatically provide parameterized artistic sketches or concept drawings of a real scene.