大学院情報理工学系研究科電子情報学専攻
Graduate School of Information Science and Technology Department of Information and Communication Engineering The University of Tokyo
Abstract
There exist efficient function based shape representation techniques such as Fourier, B-Splines, Non-Uniform Rational B-Splines (NURBS), Radial Basis Function (RBF), and Implicit Polynomial (IP). Among these techniques, we study the shape representation of IP, since in contrast to other representations, IPs are superior especially in the areas of fast fitting, few parameters, algebraic/geometric invariants, robustness against noise and occlusion, etc. In this thesis, we provide insights into the theory and practice of polynomial representation, and the main contribution can be summarized by the three following points: Firstly, a 3D IP-segment representation method is developed even for robustly representing complex objects. Secondly, an efficient fitting method has been developed for adaptively estimating the IP of moderate degree for objects with various shapes. Thirdly, a fast and robust registration method of using IP gradient flow has been developed and applied for medical image applications.
発行年
2008-09-30
日本十進分類法
548
学位名
博士(情報理工学)
学位
doctoral
学位分野
Information Science and Technology (情報理工学)
学位授与機関
University of Tokyo (東京大学)
研究科・専攻
Department of Information and Communication Engineering, Graduate School of Information Science and Technology (情報理工学系研究科電子情報学専攻)
学位授与年月日
2008-09-30
学位授与番号
甲第24187号
学位記番号
博情第206号
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2D CURVE AND 3D SURFACE REPRESENTATION USING IMPLICIT POLYNOMIAL AND ITS APPLICATIONS
48057417.pdf
(10.15MB)
