This paper introduces a precise and easy to use method for defining the microstructure of heterogeneous solids. This method is based on the concept of Heterogeneous Composite Bézier Hyperpatch, and allows to accurately represent the primary material proportions, as well as the size and shape of the material phases. The solid microstructure is modelled using two functions: a material distribution function (to compute the portion of the solid volume occupied by each primary material), and a modified Perlin noise function that determines the shape and size of each primary material phase.
With this method, the position and orientation of the solid in the modeling space R3 does not affect the portion of its volume that is occupied by each primary material, nor the shape and size of the phases. However, the solid microstructure is coherently and automatically modified when the shape of the solid is edited. Regarding continuity, this method allows to define to which extent continuity (both in shape and material distribution) has to be preserved at the junction of the cells that compose the solid. This makes modeling geometrically complex figures very easy.
The digitization of some of the processes carried out in an archaeological excavation is changing the way of working at the site. Today, new technologies coexist with traditional methodologies. The study of stratigraphy can combine drawings of profiles and plans, the Harris Matrix diagram, as well as digitized files that perform a complete record of the stratigraphic sequence. However, this information is usually unaggregated from the rest of the information system that makes up the archaeological record. In this paper, we present an integrated software tool and the associated methodology to record, store, visualize and analyze the 3D stratigraphy of a site. The implementation uses spatial databases to store information of a heterogeneous nature and game engines for the visualization and interaction with this information. During the excavation process, the strata are scanned using the Tof technology, which is available in many smartphones. The resulting 3D model of the stratum, once uploaded to the software system, allows us to visualize the sequence of strata incorporating the findings into their original arrangement. Some additional tools, such as the scrollbar, help to perform a temporal analysis of the site. The result is a 4D interactive stratigraphy tool, which together with the Harris Matrix, complements the archaeological record and facilitates the work to archaeologists. This methodology also allows to speed up the on-site work and the subsequent analysis, while improving the user experience with the 3D archaeological site replica.
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