Effective spectral representations of shape region are proposed in literature. On the other hand, a significant spatial characteristic of shape region is shape contour because human beings discriminate shapes mainly by their contour features. It is proposed that a descriptor is obtained by complementing the spectral representation of shape region with the spectral representation of shape contour. Such a descriptor, obtained by explicitly combining two (or more) descriptors is termed composite descriptor. A composite descriptor is proposed; the effectiveness of the composite descriptor to represent shape region is evaluated.