Constructing Stereo Images of Error Surfaces in Problems of Numerical Methods Verification

Author:

Andreev Sergey1ORCID,Bondarev Alexander1ORCID,Bondarenko Alexander2ORCID,Galaktionov Vladimir1ORCID,Bondareva Nicole1ORCID

Affiliation:

1. Keldysh Institute of Applied Mathematics RAS

2. State Res. Institute of Aviation Systems (GosNIIAS)

Abstract

The tasks of constructing stereo representations of texts and formulas on an autostereoscopic monitor in stereo presentations designed to display the results of numerical modeling are an urgent sub-task in developing methods and algorithms for constructing stereo displays of scientific research results. In this paper, the construction of stereo images on an autostereoscopic monitor is considered. The autostereoscopic monitor allows you to watch stereo images without glasses, while ensuring the quality of the stereo image, which is not inferior to the quality of the stereo image presented using the classic 3D projection stereo system. The possibility of combining several stereo objects with different parameters on one frame with various parameters allowing to achieve the maximum stereo effect is being investigated. This technology has been applied practically to visualize the problems of verification of numerical methods and their comparative analysis. Similar solutions for the two-parameter problem are represented in the form of error surfaces constructed for each numerical method involved in the comparison. The construction of error surfaces in stereo mode is implemented for an autostereoscopic monitor based on a multi-view.

Funder

Russian Foundation for Basic Research

Publisher

MONOMAX Limited Liability Company

Reference21 articles.

1. Andreev, S.et al: Generation of Stereo-Presentations in Photorealistic Rendering and Scientific Visualization. Keldysh Institute preprints (61), 1-16 (2010). [in Russian]

2. Andreev, S.et al: Synthesis of photorealistic three-dimensional images in modern presentation systems. Software&Systems (3), 37-40 (2007). [in Russian]

3. Andreev, S., Filina, A. Using stereo presentations for visualization of scientific calcula-tions results. Scientific Visualization 4(1), 12-21 (2012).

4. Vandanov, V. et al: Hardware-software complex of 3D presentations based on a virtual studio and virtual environment. In: Proceedings of the 1-st international conference «3D visualization of scientific, technical and social reality. Cluster technologies of modeling» pp.73-77. Izhevs. (2009). [in Russian]

5. Mezhenin, A., Tozik, V.: 3D Visualization using the stereo image effect. In: Proceed-ings of the 2-nd international conference «3D visualization of scientific, technical and social reality. Cluster technologies of modeling» Izhevsk (2010). [in Russian].

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