Visualization of sound frequencies of geomechanical processes using GIT technologies

Stepanov, Yu. A.; Burmin, L.N.; Степанов, А. В.

doi:10.26583/sv.10.3.11

Cited by 1 publication

(1 citation statement)

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“…This approach allows us to convey not only information about the shape of the test (or projected) object, but also additional properties as color support, reflecting the change in the physical, mechanical, architectural and other properties of the object. However, such a color reproduction of in-formation is either a discrete set of colored zones (e.g., computer-aided design systems, the finite element analysis [1][2]), or a linear relationship (e.g., geo-information systems with or without using a gradient [3] it [4]).…”

Section: Introductionmentioning

confidence: 99%

Features visualization of geometric objects in the BN-calculus

Konopatskiy¹,

Бездитный²,

Kokareva³

et al. 2020

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The article discusses an approach to imaging of geometric objects based on point equations of their formation. Spot equations that are represented in symbolic form, are reduced to a system of parametric equations using coordinate-wise calculation. The number of equations of the system depends on the dimension of the space in which geometric object is considered. The basic idea is that one part of this system of equations is used for spatial imaging of the object, and the other part-for color imaging. Thus, the combined use of spatial and color imaging allows to reduce the dimension of the space, involved in spatial visualization, and it becomes possible to visualize the additional properties of the geometric object. A distinctive feature of the proposed approach is the use of a continuous non-linear color encoding information by using a continuous function to expand the imaging capabilities of geometric multidimensional space objects. The work provides 6 examples of the practical use of the proposed approach for the visualization of one-parameter and two-parameter geometric objects. At the same time, the possibilities of visualizing one-parameter objects by the example of arcs of algebraic curves belonging to spaces of different dimensions and two-parameter ones by the example of visualizing a portion of a topographic surface are investigated. The prospect of further research is to summarize the proposed approach for visualizing three-parameter geometric objects and bodies, as well as the reconstruction of three-dimensional geometric objects based on color images.

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