This paper presents a new approach to scale-space image based on our recent work on polygonal approximation. The polygonal approximation involves a counter which can be varied to produce different sets of vertex points and hence different polygonal approximations. These polygons are combined to construct a scale-space image. The scale-space image is in conformity with the scale-space theory. The scale-space behaviour of different corner models is also analysed and a method for corner detection is proposed. The validity of the proposed technique is tested through experimental results. © 1994.