Visualization of four-variable algebraic equations representing form and coloration simultaneously

Tatyana S. Tarasova; Vladimir M. Degtyarev

doi:10.1117/12.726777

10 April 2007 Visualization of four-variable algebraic equations representing form and coloration simultaneously

Tatyana S. Tarasova, Vladimir M. Degtyarev

Proceedings Volume 6597, Nanodesign, Technology, and Computer Simulations; 659717 (2007) https://doi.org/10.1117/12.726777
Event: Nanodesign, Technology, and Computer Simulations, 2006, Olsztyn, Poland

Abstract

In the beginning of the four variables algebraic equations research two problems were faced. Having more variables then equations in the equations set for visualization is the first one. Having several roots of the color equation which should be shown by one color value is the second one. In the given article results of solving these problems are represented. Different methods of setting relation between colour equation roots and colour in the point are esteemed. Examples of colouring the algebraic surfaces by adding a forth variable to its equation, examples of painted surfaces as well.

Citation Download Citation

Tatyana S. Tarasova and Vladimir M. Degtyarev "Visualization of four-variable algebraic equations representing form and coloration simultaneously", Proc. SPIE 6597, Nanodesign, Technology, and Computer Simulations, 659717 (10 April 2007); https://doi.org/10.1117/12.726777

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available