¡¡Chinese Journal of Computers   Full Text
  TitleOrthogonal Reconstruction of 3D Model Based on V-System over Triangular Domain
  AuthorsLI Jian1) SONG Rui-Xia2) YE Meng-Jie1) LIANG Yan-Yan1) QI Dong-Xu1),2)
  Address1)(Faculty of Information Technology, Macau University of Science and Technology, Macao)
2)(College of Sciences, North China University of Technology, Beijing 100144)
  Year2009
  IssueNo.2(193¡ª202)
  Abstract &
  Background 		Abstract This paper presents a novel method for representing the 3D model. A new complete orthogonal function system over nested triangulated domains, called V-system, is applied to decompose 3D model to spectrums. Due to some special properties of the V-system those separate 3D models could be represented untidily. The orthogonal expressions of the 3D models make it be possible that to study 3D models by spectrum analysis.
Keywords 3D model; triangular domains; V-system; orthogonal reconstruction; spectrums
Background Determining how to find the better way to represent 3D geometric models is one of the fundamental themes in computer graphics. From Bezier curve (surface) spline curve (surface) that rapidly used in CAGD to polygonal mesh and subdivision surface, people have been given many methods for different applications. But all of these representations are not orthogonal representation. The orthogonal representation is the base of frequency domain method which is the powerful tool in signal processing. Lacking for the orthogonal presentation of 3D models, the frequency spectrum analysis is difficult to use to study 3D model.
This paper studies on a kind of complete orthogonal V-system that on triangular domain. We use V-system to construct the orthogonal representation of 3D model (triangular mesh) and calculate the spectrums. The spectrum is one of features of 3D model. The orthogonal expression of the 3D models make it¡¯s possible that to study 3D models by frequency spectrum analysis.
This project is supported by the National Natural Science Foundation of China (Nos.10631080, 10771002), the National Key Basic Research Project of China grant (No.2004CB 318006) and the Science and Technology Development Fund of Macao SAR (No.045/2006/A).
The Authors have developed U-system and V-system (tension product) which are all the completed orthogonal functions and used in image processing, signal denoise etc. The authors have published papers on many journals and conferences such as Journal of System Simulation, Communications on Pure and Applied Analysis and so on.