Modeling methods with implicitly defined objects: technical report no. DCSE/TR-2003-04

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dc.contributor.authorUhlíř, Karel
dc.date.accessioned2016-06-24T08:20:18Z
dc.date.available2016-06-24T08:20:18Z
dc.date.issued2003
dc.description.abstract-translatedA 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.en
dc.format42 s.cs
dc.format.mimetypeapplication/pdf
dc.identifier.urihttp://www.kiv.zcu.cz/publications/
dc.identifier.urihttp://hdl.handle.net/11025/21610
dc.language.isoenen
dc.publisherUniversity of West Bohemia in Pilsenen
dc.rights© University of West Bohemia in Pilsenen
dc.rights.accessopenAccessen
dc.subjectimplicitní modelovánícs
dc.subjectvizualizacecs
dc.subjectradiální bázové funkcecs
dc.subject.translatedimplicit modellingen
dc.subject.translatedvisualizationen
dc.subject.translatedradial basis functionsen
dc.titleModeling methods with implicitly defined objects: technical report no. DCSE/TR-2003-04en
dc.typezprávacs
dc.typereporten
dc.type.versionpublishedVersionen

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