A method for the description and identification of curved objects is described in this paper. The shape of a curved object is considered as a surface which is an accumulation of horizontal section boundaries. This is described by the coefficients of a Fourier series expansion of the proposed representative function. Each complicated feature of the shape of the object is decomposed into five simple features: elongatedness, horizontal strain, section shape, torsion, and displacement. Differences of objects as patterns are defined as pseudodistances of corresponding features. Some essential properties such as completeness of the pseudodistance family are explained theoretically. Finally, experimental results of identification of wooden block models and a doll are displayed.