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作者(中文):喻世文
作者(外文):Yu, Shih-Wen
論文名稱(中文):多影像曲體的次數
論文名稱(外文):Degrees of Multi-Image Varieties
指導教授(中文):卓士堯
指導教授(外文):Jow, Shin-Yao
口試委員(中文):蔡孟傑
陳正傑
口試委員(外文):Chuah, Meng-Kiat
Chen, Jheng-Jie
學位類別:碩士
校院名稱:國立清華大學
系所名稱:數學系
學號:109021501
出版年(民國):111
畢業學年度:110
語文別:英文
論文頁數:37
中文關鍵詞:代數幾何多視圖幾何電腦視覺
外文關鍵詞:Multiple View GeometryAlgebraic GeometryComputer Vision
相關次數:
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本論文主軸為推廣 EK17 中所定義的幾何相機模型與多影像曲體。此外,本論文也將計算多影像曲體在 G(1,n)^m 中 的周類,以及其在 Plucker 嵌入映射下作為一射影乘積空間 (P^n)^m 中射影曲體的次數。
Our work extends the definitions of multi-image variety and geometric cameras defined in \cite{EK17}, and computes its Chow class in G(1,n)^m and its multidegree as a subvariety of $(P^n)^m$ via the Plucker embedding.
1. Introduction ... 2
2. Preliminaries ... 5
3. Chow Rings ... 13
4. Concurrent Lines Varieties ... 23
5. Congruences & Geometric Cameras ... 28
6. Multi-Image Variety ... 32
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