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2D CURVE AND 3D SURFACE REPRESENTATION USING IMPLICIT POLYNOMIAL AND ITS APPLICATIONS
https://doi.org/10.15083/00002423
https://doi.org/10.15083/00002423f8fdab62-f2b0-46ad-b1c9-8e299614aeaa
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
48057417.pdf (10.2 MB)
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| Item type | 学位論文 / Thesis or Dissertation(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2012-03-01 | |||||
| タイトル | ||||||
| タイトル | 2D CURVE AND 3D SURFACE REPRESENTATION USING IMPLICIT POLYNOMIAL AND ITS APPLICATIONS | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | Implicit Polynomial | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | shape representation | |||||
| 資源タイプ | ||||||
| 資源 | http://purl.org/coar/resource_type/c_46ec | |||||
| タイプ | thesis | |||||
| ID登録 | ||||||
| ID登録 | 10.15083/00002423 | |||||
| ID登録タイプ | JaLC | |||||
| その他のタイトル | ||||||
| その他のタイトル | 陰関数を用いた２Ｄ曲線と３Ｄ曲面の多項式表現とその応用 | |||||
| 著者 |
鄭, 波
× 鄭, 波 |
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| 著者別名 | ||||||
| 識別子Scheme | WEKO | |||||
| 識別子 | 6694 | |||||
| 姓名 | ZHENG, Bo | |||||
| 著者所属 | ||||||
| 著者所属 | 大学院情報理工学系研究科電子情報学専攻 | |||||
| 著者所属 | ||||||
| 著者所属 | Graduate School of Information Science and Technology Department of Information and Communication Engineering The University of Tokyo | |||||
| Abstract | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | 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. | |||||
| 書誌情報 | 発行日 2008-09-30 | |||||
| 日本十進分類法 | ||||||
| 主題Scheme | NDC | |||||
| 主題 | 548 | |||||
| 学位名 | ||||||
| 学位名 | 博士(情報理工学) | |||||
| 学位 | ||||||
| 値 | doctoral | |||||
| 学位分野 | ||||||
| Information Science and Technology (情報理工学) | ||||||
| 学位授与機関 | ||||||
| 学位授与機関名 | 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 | ||||||
| 学位授与年月日 | 2008-09-30 | |||||
| 学位授与番号 | ||||||
| 学位授与番号 | 甲第24187号 | |||||
| 学位記番号 | ||||||
| 博情第206号 | ||||||
