Geometric Illumination of Implicit Algebraic Surfaces

Kód výsledku v 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>

Nalezeny alternativní kódy

RIV/00216208:11410/24:10486010

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Geometric Illumination of Implicit Algebraic Surfaces

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Geometric Illumination of Implicit Algebraic Surfaces

Popis výsledku anglicky

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.

Druh

C - Kapitola v odborné knize

CEP obor

—

OECD FORD obor

50301 - Education, general; including training, pedagogy, didactics [and education systems]

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2024

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název knihy nebo sborníku

Lecture Notes on Data Engineering and Communications Technologies

ISBN

978-3-031-71224-1

Počet stran výsledku

12

Strana od-do

84-95

Počet stran knihy

520

Název nakladatele

Springer

Místo vydání

Cham

Kód UT WoS kapitoly

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