Geometric Illumination of Implicit Algebraic Surfaces
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F24%3A10486010" target="_blank" >RIV/00216208:11320/24:10486010 - isvavai.cz</a>
Alternative codes found
RIV/00216208:11410/24:10486010
Result on the web
<a href="https://doi.org/10.1007/978-3-031-71225-8_7" target="_blank" >https://doi.org/10.1007/978-3-031-71225-8_7</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-031-71225-8_7" target="_blank" >10.1007/978-3-031-71225-8_7</a>
Alternative languages
Result language
angličtina
Original language name
Geometric Illumination of Implicit Algebraic Surfaces
Original language description
Illumination of scenes is usually generated in computer graphics using polygonal meshes. In this paper, we present a geometric method using projections. Starting from an implicit polynomial equation of a surface in 3-D or a curve in 2-D, we provide a semi-algebraic representation of each part of the construction. To solve polynomial condition systems and find constrained regions, we apply algebraic computational algorithms for computing the Gröbner basis and cylindrical algebraic decomposition. The final selection of illuminated and self-shaded components for polynomial surfaces of a degree higher than three is discussed. The text is accompanied by visualizations of illumination of surfaces up to degree eight.
Czech name
—
Czech description
—
Classification
Type
C - Chapter in a specialist book
CEP classification
—
OECD FORD branch
50301 - Education, general; including training, pedagogy, didactics [and education systems]
Result continuities
Project
—
Continuities
S - Specificky vyzkum na vysokych skolach<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Book/collection name
Lecture Notes on Data Engineering and Communications Technologies
ISBN
978-3-031-71224-1
Number of pages of the result
12
Pages from-to
84-95
Number of pages of the book
520
Publisher name
Springer
Place of publication
Cham
UT code for WoS chapter
—