A Method for Affine Invariant Image Smoothing

Abstract

This paper proposes a new image smoothing method invariant to affine transformation. In the field of image processing and recognition, Gaussian filtering is a common procedure for image smoothing. However Gaussian filtering is not affine invariant. This paper proposes a new method for image smoothing that is invariant under such affine transformation that does not change the area of any region in the image. Experimental results show that the proposed method is almost never affected by affine transformation different from usual Gaussian filtering. In the proposed method, processing results are expected to be not affected much by variation of the viewpoint.