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This algorithm performs smoothing of images by smoothing only along the level lines of images and not across them. This methodology preserves the edges while removing any noise from it. It works on the principle of κ(1 / 3),κ(1 / 4) smoothing of the level lines of an image. κ(1 / 3) performs smoothing for each of the slices in the 2D plane while κ(1 / 4) performs volumetric smoothing, ie., smoothing in the 3D plane. If one wants to perform smoothing for the entire volume, use κ(1 / 4) smoothing, whereas for smoothing only a single slice, use κ(1 / 3) smoothing filter.