The invertibility of Radon Transform is a necessary property in 3-D reconstruction. However it has limited utility when Radon Transform is used as a texture descriptor. In this paper, we propose a modified non-invertible discrete Radon transform, so as to increase its texture-describing capability. The modification is achieved by incorporating the effect of uniformity of a pixel under consideration with respect to its neighborhood, on the line integral of the Radon transform. We demonstrate the advantage of such a modification by showing that the modified Radon transform, when used as a descriptor for content-based image retrieval, shows better retrieval performance than the standard Radon transform or its generalization the Trace transform.