Název:	Modeling methods with implicitly defined objects: technical report no. DCSE/TR-2003-04
Autoři:	Uhlíř, Karel
Datum vydání:	2003
Nakladatel:	University of West Bohemia in Pilsen
Typ dokumentu:	zpráva report
URI:	http://www.kiv.zcu.cz/publications/ http://hdl.handle.net/11025/21610
Klíčová slova:	implicitní modelování;vizualizace;radiální bázové funkce
Klíčová slova v dalším jazyce:	implicit modelling;visualization;radial basis functions
Abstrakt v dalším jazyce:	A new trend in the usage of functional modeling in computer science has been formed during several last years. One of the basic fields developing in a lot of departments is modeling with the implicitly defined objects. The implicit definition (in contrast to the parametric definition of the object) is the most compact description of the model, which exactly defines the object surface(volumetric data). One of the basic modeling methods is modeling with the Boolean operations. The Boolean operati ons allow creating the CSG tree structure from the implicit ly defined objects. CSG tree can be further used in the visualization methods. Visualization of an implicitly defined object is possible by using several methods. One group of these methods represents direct methods like ray tracing or ray casting, in the second group belong surface approximation methods with triangle mesh like Marching cubes or Marching tetrahedra. Since, this kind of description has many benefits, there is a tendency to represent the objects described by triangle mesh with implicit equation. Area of the implicit modeling is very large. This offered work contains an overview of methods used for implicitization of objects defined by the polygonal mesh or point-cloud data. The mathematical methods for implicitization are briefly introduced, too. The main goal of the research is oriented to the Radial Basis Function method. Basic aspects, possible solutions, advantages and disadvantages of present ed algorithms are discussed. The outlook of our previous work and future work is presented.
Práva:	© University of West Bohemia in Pilsen
Vyskytuje se v kolekcích:	Zprávy / Reports (KIV)

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