IMAGE SHAPE COMPARISON IN MOSAIC DIFFUSION MORPHOLOGIES

In this paper, developing the early proposed unified approach to the representation of morphological models, we show that since morphological models in the attribute representation have the same mathematical form as images, the morphological models themselves can be the subject of morphological analysis and can be directly compared in form with using morphological operators. In this case, the previously introduced formalism of mosaic diffusion morphology is used.In the framework of mosaic diffusion morphology, two alternative descriptions of the projection of the image on the form are considered, which are based on a clear model and a fuzzy model of the form respectively. It is shown that the projection operator in the second case is a one-sorted diffuse operator that makes direct comparision of model to model instead of image to model. In this case, a fuzzy mosaic model appears in this scheme as a projection of a clear mosaic model onto another clear mosaic model. Based on this shape-to-shape projection idea, we propose the new version of Pytiev morphology tools for shape comparison: the morphological shape difference map, the morphological quasi-distance between shapes, as well as the Morphological Shape Correlation Coefficient (MSCC). We show that MSCC from the resource parameters of the reciprocal model has exactly the same formula as the standard effective morphological correlation coefficient proposed earlier based on statistical averaging of projected images.

Structure of the hybrid zone between Siberian stone pine and Siberian dwarf pine

Siberian stone pine (Pinus sibirica) and Siberian dwarf pine (P. pumila) are widespread in northern Asiafive-needle pines from subgenus Strobus. The natural hybridization occurs in many regions where the species growtogether. Traditional hybrid zone model was considered in the paper and, based on the accumulated data, it is determinedwhich one corresponds to the hybrid zone of Siberian stone pine and Siberian dwarf pine. The paper presents argumentsin favor of the mosaic model.

A Combined Non-Invasive Approach to the Study of A Mosaic Model: First Laboratory Experimental Results

This paper presents first laboratory results of a combined approach carried out by the use of three different portable non-invasive electromagnetic methods: Digital holographic speckle pattern interferometry (DHSPI), stimulated infrared thermography (SIRT) and holographic subsurface radar (HSR), proposed for the analysis of a custom-built wall mosaic model. The model reproduces a series of defects (e.g., cracks, voids, detachments), simulating common deteriorated, restored or reshuffled areas in wall mosaics. DHSPI and SIRT, already well known in the field of non-destructive (NDT) methods, are full-field contactless techniques, providing complementary information on the subsurface hidden discontinuities. The use of DHSPI, based on optical imaging and interferometry, provides remote control and visualization of surface micro-deformation after induced thermal stress, while the use of SIRT allows visualization of thermal energy diffusion in the surface upon the induced thermal stress. DHSPI and SIRT data are complemented by the use of HSR, a contact method that provides localized information about the distribution of contrasts in dielectric permittivity and related possible anomalies. The experimental results, made by the combined use of these methods to the identification of the known anomalies in the mosaic model, are presented and discussed here as a contribution in the development of an efficient non-invasive approach to the in-situ subsurface analysis of ancient wall mosaics.