研究生: |
喻世文 Yu, Shih-Wen |
---|---|
論文名稱: |
多影像曲體的次數 Degrees of Multi-Image Varieties |
指導教授: |
卓士堯
Jow, Shin-Yao |
口試委員: |
蔡孟傑
Chuah, Meng-Kiat 陳正傑 Chen, Jheng-Jie |
學位類別: |
碩士 Master |
系所名稱: |
理學院 - 數學系 Department of Mathematics |
論文出版年: | 2022 |
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 Geometry, Algebraic Geometry, Computer Vision |
相關次數: | 點閱:2 下載:0 |
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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.
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