| 研究生: |
翁立言 Weng, Li-Yien |
|---|---|
| 論文名稱: |
物品旋轉下的影像變形 The image spacial transformation under object rotation |
| 指導教授: |
沈士育
Shen, Shih-Yu |
| 學位類別: |
碩士 Master |
| 系所名稱: |
理學院 - 數學系應用數學碩博士班 Department of Mathematics |
| 論文出版年: | 2019 |
| 畢業學年度: | 107 |
| 語文別: | 中文 |
| 論文頁數: | 51 |
| 中文關鍵詞: | 影像變形 、物品旋轉 |
| 外文關鍵詞: | spacial transformation, object rotation |
| 相關次數: | 點閱:166 下載:5 |
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在現代生活中經常靠影像得到許多資訊,例如車牌辨識就是從影像中得知車牌號碼,而本論文是透過兩張照片去探討被拍攝物品在空間中旋轉了幾度,但是翻轉的問題不在此討論中。
因為現在的相機成像原理跟針孔成像幾乎差不多,在這裡都是用針孔成像來討論,想要從不同角度所拍攝的物品中知道它旋轉了幾度,因此需要從兩張照片找到共軛對,而找到共軛對之前,得先找到特徵點,特徵點為容易辨認且明顯的點,而在論文中是以接近九十度的角落稱為特徵點,接著把共軛對進行最小二乘法之後可以從其中找到此物品旋轉了幾度。
為了知道數學模型是否正確,先是假設五個在空間的共軛對,並給予它們座標,用程式去模擬並且算出他們在空間中旋轉的角度,模擬實驗結果準確率很高,而且發現距離以及共軛點數多寡會影響誤差值。
在實際實驗中總共實驗了四個共軛對、五個共軛對和九個共軛對,因為是手持相機的關係誤差會比模擬實驗來的大,但是當共軛對數增加的時候,準確率卻有明顯的增加。
Because the current imaging principle of the camera is almost the same as that of the pinhole imaging, it is discussed here with pinhole imaging. It is known that it is rotated a few degrees from the items taken from different angles. Therefore, it is necessary to find the conjugate pair from the two photos. Before finding the conjugate pair, the feature points must be found first. The feature points are easily identifiable and obvious points. In the paper, the corners are close to ninety degrees. Then, after the conjugate pair is subjected to the least squares method, the item can be found rotated by a few degrees.
In order to know whether the mathematical model is correct, first assume five conjugate pairs in space, and give them coordinates, use the program to simulate and calculate the angle of their rotation in space, the simulation results are very accurate, and the distance and total points will affect the amount of conjugated error value.
In the actual experiment, a total of four conjugate pairs, five conjugate pairs and nine conjugate pairs were tested, because the relationship error of the handheld camera is larger than that of the simulation experiment, but when the conjugate logarithm increases, There is a significant increase in the rate of accuracy.
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