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請用此 Handle URI 來引用此文件: http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/63738
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dc.contributor.advisor趙鍵哲(Jen-Jer Jaw)
dc.contributor.authorWei-Tong Chenen
dc.contributor.author陳韋彤zh_TW
dc.date.accessioned2021-06-16T17:17:44Z-
dc.date.available2021-02-22
dc.date.copyright2021-02-22
dc.date.issued2021
dc.date.submitted2021-02-04
dc.identifier.citationBarnard, S.T., 1983. Interpreting perspective images, Artificial Intelligence, 21(4):435-462.
Brown, D.C., 1971. Close-range camera calibration, Photogrammetric Engineering, 37:855-866.
Chang, H., 2017. Single View Reconstruction Using Refined Vanishing Point Geometry, Ph.D. dissertation, National Central University, Taoyuan, 193 p.
Fryer, J.G., 1996. Camera Calibration, Close-range photogrammetry and machine vision, (K.B. Atkinson, editor), Whittles Publishing, UK, pp. 156-179.
Fan, Y.C., Chen, Y.C., and Chou, S.Y., 2014. Vanishing point based depth cue measurement scheme for 3DTV system, 2014 International Conference on Information Science, Electronics and Electrical Engineering, Vol. 3, Sapporo, Japan, pp. 1775-1778.
Grammatikopoulos, L., Karras, G., and Petsa, E., 2003. Camera calibration approaches using single images of man-made objects, Proceedings of the XIX CIPA International Symposium, Antalya, Turkey, pp. 328-332.
Grammatikopoulosa, L., Karrasa, G., and Petsab, E., 2004. Camera Calibration Combining Images with Two Vanishing Points, International Archives of the Photogrammetry, Remote Sensing Spatial Information Sciences, Vol. 35, Part B5, Commission V, Istanbul, Turkey, pp. 99-104.
Grammatikopoulos, L., Karras, G., Petsa, E., and Kalisperakis, I., 2006. A unified approach for automatic camera calibration from vanishing points, International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, Vol. 36, Part 5, Commission V, Dresden, Germany.
Hartley, R., and Zisserman, A., 2004. Vanishing lines, Multiple View Geometry in Computer Vision (2nd ed), Cambridge: Cambridge University Press, UK, pp. 216-219.
He, B., and Li, Y., 2009. Camera calibration with lens distortion and from vanishing points, Optical Engineering, 48(1):013603.
Lo, K.H., and Chuang, J.H., 2011. Vanishing point-based line sampling for efficient axis-based people localization, 2011 IEEE International Conference on Image Processing, Brussels, Belgium, pp. 521-524.
Ma, Z., and Kim, H., 2011. Heading direction computation of golf-ball collecting robot using vanishing points, 2011 IEEE International Conference on Information and Automation, Shenzhen, China, pp. 792-796.
Shufelt, J.A., 1999. Performance evaluation and analysis of vanishing point detection techniques, IEEE Transactions on Pattern Analysis and Machine Intelligence, 21(3):282-288.
Song, S.W., and Jo, K.H., 2009. 3D mapping and estimation from moving direction of indoor mobile robot using vanishing points, 2009 ICCAS-SICE, Fukuoka, Japan, pp. 3504-3508.
Van den Heuvel, F.A., 1999 (a). A line-photogrammetric mathematical model for the reconstruction of polyhedral objects, Proceedings of SPIE, Vol. 3641, pp. 60-71.
Van den Heuvel, F.A., 1999 (b). Estimation of interior orientation parameters from constraints on line measurements in a single image, International Archives of Photogrammetry and Remote Sensing, Vol. 32, Part 5W11, Commission V, Thessaloniki, Greece, pp. 81-88.
Wang, L.L., and Tsai, W.H., 1990. Computing camera parameters using vanishing-line information from a rectangular parallelepiped, Machine Vision and Applications, 3(3):129-141.
王幰彰,2004。滅點偵測之研究-基於θ-直方圖統計分析法,國立成功大學測量及空間資訊學系碩士論文,台南,85 p。
吳建億,2009。使用物空間條件進行測量車相機檢定,國立成功大學測量及空間資訊學系碩士論文,台南,123 p。
謝文寒,2004。基於多像滅點進行相機標定的方法研究,武漢大學攝影測量與遙感博士論文,武漢,115 p。
周致傑,2011。基於消失點的快速多攝影機人物定位,國立交通大學資訊科學與工程研究所碩士論文,新竹,40 p。
劉晉瑋,2019。加速基於消失點線段取樣之人物即時定位,國立交通大學資訊科學與工程研究所博士論文,新竹,50 p。
dc.identifier.urihttp://tdr.lib.ntu.edu.tw/jspui/handle/123456789/63738-
dc.description.abstract利用滅點幾何解算內方位參數與姿態角,在電腦視覺與攝影測量領域中已是常見的方法。然而,回顧過往的文獻,鮮少有對於此方法解算的成果進行概括性的誤差分析。本研究的目標為探討滅點幾何於內方位參數與姿態角解算時的誤差影響因子,利用誤差傳播詳細分析攝影時的條件對於解算精度的影響;結合滅點與內方位參數和姿態角間之幾何關係,視覺化分析各因子對整體幾何結構之影響,以便於更直覺的理解誤差傳播分析的結果。本文滅點幾何課題研究不受限於單一特定之攝影環境,針對不同攝影條件下所歸納誤差之定性定量分析有助於釐清攝像幾何對於姿態角及內方位參數估值之品質影響及各影響因子之相關性,能提供參數解算分析及取像姿態設計任務更全貌的參考。
本研究課題解析成果之具體成效如下:(1)於內方位參數與姿態角誤差特性之相互影響方面,當姿態角ω、φ接近0°、90°時,內方位參數誤差越大,但因同時受幾何交互作用的影響,誤差極小值不會出現在特定位置。(2)姿態角的部分,ω角和φ角的誤差分別與|sin2ω|和|tanφ|有正向關係,但三角函數在接近0°時會急遽變化,使反算的姿態角對於誤差相當敏感。至於κ角則與Y、Z方向滅點距離成反比。(3)以模擬實驗驗證前述誤差特性,並定量分析各影響因子對品質之影響。
zh_TW
dc.description.abstractUsing vanishing point geometry to solve interior orientation parameters and pose is common in computer vision and photogrammetry. However, reviewing the literature, the general error analyses of the results for this method are scarce. Therefore, the purpose of this research is to explore the influential factors of the accuracy of these parameters and uses error propagation to analyze the accuracy of the solution under different photographic conditions. Furthermore, visualizing the influence of each factor on the overall geometric structure makes the error analysis more intuitive. The study of vanishing point geometry in this article is not limited to a specific photographic condition. Qualitative and quantitative analysis of accuracy summarized under different photographic conditions helps to clarify the influence between the estimation of pose and interior orientation parameters.
The significances of this study can be summarized as follow: (1) In terms of the mutual influence of error between the interior orientation parameters and pose, when ω and φ are close to 0° or 90°, the error of interior orientation parameters will be larger. However, the occurrence of minimal error is hard to be located. (2) The errors of ω and φ are positively related to |sin2ω| and |tanφ|, respectively. However, the trigonometric function will change rapidly when it is close to 0 degrees, which makes the inverse operation of pose very sensitive to error. As for κ, it is inversely proportional to the vanishing point distance in Y and Z directions. (3) Verify the aforementioned error characteristics and quantitatively analyze the impact of each influence factor on the quality with simulation experiments.
en
dc.description.provenanceMade available in DSpace on 2021-06-16T17:17:44Z (GMT). No. of bitstreams: 1
U0001-0202202123341100.pdf: 3265197 bytes, checksum: 368e7b19689d4b5535e8345cd5a36368 (MD5)
Previous issue date: 2021
en
dc.description.tableofcontents口試委員會審定書………………………………………………………….……... I
誌謝………………………………………………………………….…….………. II
中文摘要………………………………………………………………….……… III
英文摘要…………………………………………………………….………...…. IV
目錄……………………………………………………………….………………. V
圖目錄……………………………………………………………………...……. VII
表目錄…………………………………………………………………….…….... IX
第一章 緒論………………………………………………………………….. 1
1.1研究動機與目的…………………………………………………...……… 1
1.2論文架構………………………………………………………….......…… 2
第二章 文獻回顧……………………………………………………………….. 3
2. 1滅點…………………………………………………………………… 3
2.2滅點應用於內方位參數與姿態角解算………………………………… 5
2.3小結…………………………………………………………………… 8
第三章 研究方法……………………………………………………………….. 9
3.1單像滅點(三正交滅點)與內方位參數和姿態角之幾何關係………....… 9
3.1.1直角四面體與像主距之幾何關係………….…………….………. 11
3.1.2直角四面體與姿態角之幾何關係………………….…………….. 13
3.1.2(a)直角四面體與ω角之幾何關係…………...….…….…… 13
3.1.2(b)直角四面體與φ角之幾何關係…………....….………… 14
3.1.2(c)直角四面體與κ角之幾何關係…………...……..……… 15
3.1.3小結……………………………………………………….…..…… 16
3.2單像滅點(三正交滅點)與內方位參數和姿態角之數學關係………..… 16
3.3滅點改正畸變差…………………………………..….………………….. 22
3.4未知參數理論精度之估計……………………..……….……………….. 23
3.4.1姿態角之誤差估計……………………….……………….…….… 24
3.4.1(a) κ角之誤差估計………...………………………...…… 24
3.4.1(b) ω角之誤差估計………...…………..………...……..… 29
3.4.1(c) φ角之誤差估計………...………..……….…………… 32
3.4.2內方位參數之誤差估計…………………….………...……...…… 33
3.4.2(a)像主點之誤差估計..…...…………..…………………… 33
3.4.2(b)像主距之誤差估計….....…………..…………………… 36
第四章 實驗及成果分析…………………………………………………….. 44
4.1姿態角之誤差估計……………………..………………………...……… 46
4.1.1 κ角之誤差估計………...…………..……………………...……… 46
4.1.2 ω角之誤差估計………...…………..…………………...………… 47
4.1.3 φ角之誤差估計………...…………..………..…………………… 49
4.2內方位參數之誤差估計…………………………………………...…… 51
4.2.1像主點之誤差估計..…...………..…..…………………………..… 51
4.2.2像主距之誤差估計….....…………..……………………………… 65
第五章 結論與建議………………………………………………………….. 72
5.1結論………………………………………….…………………..……..… 72
5.2建議……………………………………………….…………………..… 75
參考文獻…………………………………………………………………….…… 76
dc.language.isozh-TW
dc.subject滅點幾何zh_TW
dc.subject單像zh_TW
dc.subject誤差分析zh_TW
dc.subject姿態角zh_TW
dc.subject內方位參數zh_TW
dc.subjectsingle viewen
dc.subjectvanishing point geometryen
dc.subjecterror analysisen
dc.subjectinterior orientation parametersen
dc.subjectposeen
dc.title單像滅點解算姿態角與內方位參數之幾何與誤差分析zh_TW
dc.titleThe Geometry and Error Analysis of Solving Pose and Interior Orientation Parameters by Vanishing Point Geometry through Single View
en
dc.typeThesis
dc.date.schoolyear109-1
dc.description.degree碩士
dc.contributor.oralexamcommittee邱式鴻(Shih-Hong Chio),莊子毅(Tzu-Yi Chuang)
dc.subject.keyword滅點幾何,內方位參數,姿態角,誤差分析,單像,zh_TW
dc.subject.keywordsingle view,vanishing point geometry,error analysis,interior orientation parameters,pose,en
dc.relation.page79
dc.identifier.doi10.6342/NTU202100418
dc.rights.note有償授權
dc.date.accepted2021-02-05
dc.contributor.author-college工學院zh_TW
dc.contributor.author-dept土木工程學研究所zh_TW
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