Levelings, Image Simplification Filters for Segmentation
Before segmenting an image, one has often to simplify it. In this paper we investigate a class of filters able to simplify an image without blurring or displacing its contours: the simplified image has less details, hence less contours. As the contours of the simplified image are as accurate as in the initial image, the segmentation may be done on the simplified image, without going back to the initial image. The corresponding filters are called levelings. Their properties and construction are described in the present paper.