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Scientific Visualization
| Issue Year: | 2016 |
| Quarter: | 4 |
| Volume: | 8 |
| Number: | 4 |
| Pages: | 38 - 49 |
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| Article Name: |
VISUAL TEXT AS TRUTH SUBSET OF THE UNIVERSAL SPACE |
| Authors: |
D.V. Manakov (Russian Federation), V.L. Averbukh (Russian Federation), P.A. Vasev (Russian Federation) |
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The paper is recommended by program committee of 26th International Conference on Computer Graphics and Vision GraphiCon’2016. |
| Address: |
D.V. Manakov
manakov@imm.uran.ru
Institute for Mathematics and Mechanics named by N.N. Krasovskii, Urals Branch of Russian Academy of Science, Ekaterinburg, Russian Federation
V.L. Averbukh
averbukh@imm.uran.ru
Institute for Mathematics and Mechanics named by N.N. Krasovskii, Urals Branch of Russian Academy of Science, Ekaterinburg, Russian Federation
Urals Federal University, Ekaterinburg, Ekaterinburg, Russian Federation
P.A. Vasev
vasev@imm.uran.ru
Institute for Mathematics and Mechanics named by N.N. Krasovskii, Urals Branch of Russian Academy of Science, Ekaterinburg, Russian Federation |
| Abstract: |
The paper considers formal approaches to evaluation of visual texts and visualization effectiveness. The consideration of the visual text as proper subset of the universal space is rather prospective approach interchangeably with linguistic approach (means to analyze the text using defined rules). Via the example of visualization builder the potentials of the formalized approach is considered. The concept of a visual text is actively used, as in the Humanities and Computer Visualization. The visual text is defined trivially as the result of any computer visualization systems.
The economy theory uses a definition of effectiveness (productivity) through the ratio of the product to the product source (resources). This definition is quite adequate. Formally, it can be considered as speed or full differential. Therefore, the effectiveness of visualization is a multivariable function. The parameters of this function are partial derivatives of visual text by its informative characteristics.
The necessary condition of derivative existence is persistence mapping. It is one of the reasons to consider visualization metaphor as persistence mapping analogous to denotational semantics using in the programming domain. Also persistence mapping may be defined throw little varying of visualization parameters. The study of poorly formalizable phenomena begins with a first approximation model. Within this framework visual texts may be set out as an intersection of a logical matrix and an intelligent agent.
Text interpretation as subsets of a universal space implies that the visual text has a true value. Properties of an intelligent agent in general are not determined. That is why an inverse problem is considered.
Problems of perception are important for computer visualization. The dependence of an intelligent agent from the perception and understanding is incorporated to the model.
Also it is interesting to consider the perception of visual texts from the point of view of information theory. In this regard, the Sunrise metaphor and its semimodel are proposed. |
| Language: |
Russian |
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