Open AccessModeling of surfaces using 3D fractal interpolation
Author(s) -
Mantas Landauskas
Publication year - 2013
Publication title -
lietuvos matematikos rinkinys
Language(s) - English
Resource type - Journals
eISSN - 2335-898X
pISSN - 0132-2818
DOI - 10.15388/lmr.a.2013.07
Subject(s) - interpolation (computer graphics) , fractal , representation (politics) , set (abstract data type) , surface (topology) , process (computing) , computer science , notice , algorithm , mathematics , mathematical optimization , geometry , artificial intelligence , mathematical analysis , image (mathematics) , politics , political science , law , programming language , operating system
This paper discusses the concept of three-dimensional (3D) fractal interpolation and the possibility to use it in modeling 3D surfaces. It is important to notice that this paper treats fractal interpolation only as a numerical tool and not as a model. The purpose of the research is to create a methodology for obtaining models for the given 3D surface and making them similar to it to a certain degree. The set of models then can be investigated as required (3D graphical representation, simulation of particular technological process, quality assessment for bonded surfaces, etc.). Measuring a particular 3D surface and making a set of models is far more cost efficient than performing the measurements many times.