Metric-topological approach to shape representation and recognition

摘要

Visual shape can be represented by means of certain integer valued functions of two real variables called size functions. This paper presents the theory of size functions in detail and discusses several useful properties of size functions, like stability to small shape changes and invariance to transformations of increasing generality. Then, a scheme for shape recognition based on size functions is described and tested on a study case. It is concluded that size functions can be very useful for shape representation and recognition.