On classification of cubic and quartic surfaces

Vladimir M. Degtyarev; Ivan P. Krylov

doi:10.1117/12.555536

5 April 2004 On classification of cubic and quartic surfaces

Vladimir M. Degtyarev, Ivan P. Krylov

Proceedings Volume 5400, Seventh International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering; (2004) https://doi.org/10.1117/12.555536
Event: 2003 Chapter books, 2003, Bellingham, WA, United States

Abstract

In this contribution we report on a set of methods to obtain and classify new algebraic surfaces of three variables of third and fourth degree. These methods are used to create a software library of cubic and quartic surfaces that can be further expanded with surfaces of higher degrees. There is a short observation of what is available in literature regarding these surfaces, and there are three methods to generate new surfaces. These surfaces are to be studied, classified and they can be used in CAD and other systems for modeling real-life objects, artificial constructions and futuristic elements.

Citation Download Citation

Vladimir M. Degtyarev and Ivan P. Krylov "On classification of cubic and quartic surfaces", Proc. SPIE 5400, Seventh International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering, (5 April 2004); https://doi.org/10.1117/12.555536

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