Interactive 4-D Visualization of Stereographic Images From the Double Orthogonal Projection

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11410%2F20%3A10417165" target="_blank" >RIV/00216208:11410/20:10417165 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/978-3-030-63403-2_11" target="_blank" >https://doi.org/10.1007/978-3-030-63403-2_11</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-030-63403-2_11" target="_blank" >10.1007/978-3-030-63403-2_11</a>

Result language
angličtina
Original language name
Interactive 4-D Visualization of Stereographic Images From the Double Orthogonal Projection
Original language description
The double orthogonal projection of the 4-space onto two mutually perpendicular 3-spaces is a method of visualization of four-dimensional objects in a three-dimensional space. We present an interactive animation of the stereographic projection of a hyperspherical hexahedron on a 3-sphere embedded in the 4-space. Described are synthetic constructions of stereographic images of a point, hyperspherical tetrahedron, and 2-sphere on a 3-sphere from their double orthogonal projections. Consequently, the double-orthogonal projection of a freehand curve on a 3-sphere is created inversely from its stereographic image. Furthermore, we show an application to a synthetic construction of a spherical inversion and visualizations of double orthogonal projections and stereographic images of Hopf tori on a 3-sphere generated from Clelia curves on a 2-sphere.
Czech name
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Czech description
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Proceedings of the19th International Conference on Geometry and Graphics
ISBN
978-3-030-63402-5
ISSN
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e-ISSN
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Number of pages
12
Pages from-to
115-126
Publisher name
Springer
Place of publication
Cham
Event location
Sao Paulo, Brazil
Event date
Jan 18, 2021
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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