謝辞
本研究を遂行し，論文をまとめるにあたり，多くの先生方に御指導，御助言 および御鞭撻を頂きました．深く感謝いたします．
九州大学大学院芸術工学研究院の原健二准教授には，本研究を進めるにあた り，終始御指導頂きました．本研究は，原健二の熱心な講論と指導なくしては，
成り立ち得なかったものです．多大なる御指導と御意見を賜りました原健二准 教授に深く感謝の意を表します．
また，九州大学大学院芸術工学研究院の浦濱喜一教授，五上光平准教授，お よび小野直樹准教授には，有効適切な御意見と御助言を賜りました．
最後に，日頃の研究生活を支えて下さいました画像工学研究室の先輩，同輩，
後輩の皆様に深く感謝いたします．
以上，御指導，御協力頂いた方々に対し， 改めて深く感謝いたします．
参考文献
第 1 章
[1] J. Shi and C. Tomasi,“Good features to track,” Proc.IEEE Conf. Comput. Vis. Pattern Recognit., pp.593-600, 1994.
[2] C. Harris and M. Stephens,“A combined corner and edge detector,” Proc. Fourth Alvey Vision Conference,pp.147-151, 1988.
[3] I. Sato, Y. Sato, and K. Ikeuchi,“Acquiring a radiance distribution to superimpose virtual objects onto a real scene,”IEEE Trans. Vis. Comp. Graph., vol.5,no.1, 1999.
[4] 木室義彦，長田正，“球面画像上でのオプティカルフロー計算，”信学論（D-II），
vol.J79-D-II, no.11, pp.1862-1870, Nov. 1996.
[5] 舟木洋也，李仕剛，中西功，“離散球面画像におけるラプラシアンフィルタの実現，”
第15回画像の認識・理解シンポジウム論文集，IS2-20, 2012.
[6] I. Bogdanova, X. Bresson, J. Thiran, and P.Vandergheynst,“Laplacian operator, diffusion flow and active contour on non-Euclidean images,”TRITS-2005.20, 2005.
[7] J. Cruz-Moto, I. Bogdanova, B. Paquier, M. Bierlaire,and J. Thiran,“Scale invariant feature transform on the sphere: theory and applications,”Int. J. Comput.Vis., vol.98, no.2, pp.217-241, 2012.
[8] V. Setlur, S. Takagi, R. Raskar, M. Gleicher, and B.Gooch, “Automatic image retargeting,” Proc. of the 4th International Conference on Mobile and Ubiquitous Multimedia, pp. 59-68, 2005.
[9] S. Avidan and A. Shamir, “Seam carving for content-aware image resizing,”ACM Trans. Graph., vol.26,no.3, 2007.
[10] Z. Karni, D. Freedman, and C. Gotsman,“Energy-based image deformation,”Comput. Graph. Forum,vol.28, no.5, 2009.
[11] F. Liu and M. Gleicher, “Automatic Image Retargeting with Fisheye-view
Warping,”ACM Symposium on User Interface Software and Technolog, pp.153-162, 2005.
[12] Y. Pritch, E. Kav-Venaki, and S. Peleg, “Shift-map image editing,”Proc.IEEE
[13] M. Rubinstein, A. Shamir, and S. Avidan,“Improved seam carving for video retargeting,”ACM Trans.Graph., vol.27, no.3, 2008.
[14] M. Rubinstein, A. Shamir, and S. Avidan,„Multi-operator media retargeting,”ACM Trans. Graph.,vol.28, no.3, 2009.
[15] A. Shamir and O. Sorkine, “Visual media retargeting,” ACM SIGGRAPH Asia Courses, 2009.
[16] Y.-S. Wang, C.-L. Tai, O. Sorkine, and T.-Y. Lee,“Optimized scale-and-stretch for image resizing,”ACM Transactions on Graphics, vol.27, no.5, 2008.
[17] L. Wolf, M. Guttman, and D. Cohen, “Non-homogeneous content driven
video-retargeting,”Proc. IEEE International Conference on Computer Vision, pp. 1-6, 2007.
[18] 五上光平，原健二，浦浜喜一“エントロピー強調によるパノラマ画像の効果的横 幅縮小,”映情誌，vol.63, no.11,pp.1622-1624, 2009.
[19] 肖云，五上光平，浦浜喜一，“バネモデルによる画像とビデオのリターゲティング,”
画像の認識・理解シンポジウム(MIRU)，2008．
[20] R. Gal, O. Sorkine, and D. Cohen-Or,“Feature-aware texturing,”Proc.Eurographics Conference on Rendering Techniques, pp. 297-303, 2006.
[21] Y. Hu and D. Rajan, “Hybrid shift map for video retargeting,”Proc. IEEE Conference on Computer Vision and Pattern Recognition, pp. 577-584, 2010.
[22] S. Li and Y. Hai, “A full-view spherical image format,”Proc. International Conference on Pattern Recognition, pp. 2337-2340, 2010.
[23] M.M. Chang, G.X. Zhang, N.J. Mitra, X. Huang, and S.M. Hu,“Global contrast based salient region detection,”Proc. of CVPR, pp.409-416, 2011.
[24] L. Itti, C. Koch, and E. Niebur,“A model of saliency based visual attention for rapid scene analysis,”IEEE Trans. PAMI, vol.20, no.11, pp.1254-1259, 1998.
[25] J. Harel, C. Koch, and P. Perona,“Graph-based visual saliency,”NIPS, vol.19, pp.545-552, 2006.
[26] S. Fang, J. Li, and Y. Tian, “Learning discriminative subspaces on random contrasts for image saliency analysis,”IEEE Trans. Neural Netw. Learning Syst.,vol.28,
no.5,pp.1095-1108, 2016.
[27] E. Erden, and A. Erden,“Visual saliency estimation by nonlinearly integrating
features using region convariances,”Journal of Vision, vol.13, no.4, pp.1-20, 2013.
[28] H.R. Tavakoli, E. Rahtu, and J. Heikkila,“Fast and efficient detection using sparse sampling and kernel density estimation,”Proc. of SCIA, pp.666-675, 2011.
[29] A. Kageyama, and T. Sato,“The„Yin-Yang grid‟: An overset grid in spherical geometry,” Geochem.Geophys., 5, Q09005, 2004.
[30] I. Bogdanova, A. Bur, and H. Hugli,“Visual attention on the sphere,”IEEE Trans.
Image Process.,vol.17, no.11, 2008.
第 2 章
[1] J. Shi and C. Tomasi, “Good features to track,” Proc.IEEE Conf. Comput. Vis.
Pattern Recognit., pp.593-600, 1994.
[2] C. Harris and M. Stephens, “A combined corner and edge detector,” Proc. Fourth Alvey Vision Conference,pp.147-151, 1988.
[3] I. Sato, Y. Sato, and K. Ikeuchi, “Acquiring a radiance distribution to superimpose virtual objects onto a real scene,” IEEE Trans. Vis. Comp. Graph., vol.5,no.1, 1999.
[4] 木室義彦，長田正，“球面画像上でのオプティカルフロー計算，”信学論（D-II），
vol.J79-D-II, no.11, pp.1862-1870, Nov. 1996.
[5] 舟木洋也，李仕剛，中西功，“離散球面画像におけるラプラシアンフィルタの実現，”
第15回画像の認識・理解シンポジウム論文集，IS2-20, 2012.
[6] I. Bogdanova, X. Bresson, J. Thiran, and P.Vandergheynst, “Laplacian operator, diffusion flow and active contour on non-Euclidean images,” TRITS-2005.20, 2005.
[7] J. Cruz-Moto, I. Bogdanova, B. Paquier, M. Bierlaire,and J. Thiran, “Scale invariant feature transform on the sphere: theory and applications,” Int. J. Comput.Vis., vol.98, no.2, pp.217-241, 2012.
[8] A. Kageyama and T. Sato, “The ‟Yin-Yang grid‟: An overset grid in spherical geometry,” Geochem. Geophys.Geosyst., 5, Q09005, 2004.
[9] 杉村剛，高橋桂子，坂上仁志，“重合格子法における数値誤差の発生とその解消法，”
日本流体力学会誌「ながれ」，vol.25, no.3, pp.247-256, 2006.
[10] 中野誠士，李仕剛，千葉則茂，“球面画像獲得のための魚眼カメラの校正，”信
学論（D-II），vol.J88-D-II, no.9,pp.1847-1856, Sept. 2005.
[11] B. Micusik and T. Pajdla, “Structure from motion with wide circular field of view cameras,” IEEE Trans. Pattern. Anal. Mach. Intell., vol.28, no.7,pp.1135-1149, 2006.
第 3 章
[1] C. Harris and M. Stephens: “A Combined Corner and Edge Detector”, Proc. Fourth Alvey Vision Conference, pp.147-151, 1988.
[2] K. Kanatani: “Calibration of ultrawide fisheye lens cameras by eigenvalue
minimization”, IEEE Trans. Patt. Anal. Mach. Intell., Vol.35, No.4, pp.813-822, 2013.
[3] L. Kitchen and A. Rosenfeld: “Gray-level corner detection”, Patt. Recog. Lett., Vol.1, No.2, pp.95-102,1982.
[4] T. Lindeberg: Scale-Space Theory in Computer Vision. Kluwer Academic, Boston, 1994.
[5] B. Micusik and T. Pajdla: “Structure from motion with wide circular field of view cameras”, IEEE Trans. Patt. Anal. Mach. Intell., Vol.28, No.7, pp.1135-1149, 2006.
[6] D. Scaramuzza, A. Martinelli and R. Siegwart: “A toolbox for easy calibrating omnidirectional cam- eras”, Proc. Int. Conf. Intelligent Robots and Systems, pp.5695-5701, 2006.
[7] J. Sporring, M. Nielsen, J. Weickert and O.F. Olsen: “A note on differential corner measures”, Proc. Int. Conf. Pattern Recognition, Vol.I, pp.652-654, 1998.
[8] O.A. Zuniga and R.M. Haralick: “Corner detection using the facet mode”, Proc. IEEE Comput. Soc. Conf. Comput. Vis. Pattern Recognit., pp.30-37, 1983.
[9] 中野誠士，李仕剛，千葉則茂: “球面画像獲得のための魚眼カメラの校正”，電子 情報通信学会論文誌，Vol.J88-DII,No.9, pp.1847-1856, 2005.
[10] 張宇，原健二，五上光平，浦浜喜一: “全方位パノラマ画像のためのラプラシアン
フィルタ” ，電子情報通信学会論文誌， Vol.J96-D, No.9, pp.2003-2006, 2013.
第 4 章
[1] S. Avidan and A. Shamir, “Seam carving for content-aware image resizing,” ACM Trans. Graph., vol.26,no.3, 2007.
[2] R. Gal, O. Sorkine, and D. Cohen-Or, “Feature-aware texturing,” Proc.Eurographics
[3] Y. Hu and D. Rajan, “Hybrid shift map for video retargeting,” Proc. IEEE Conference on Computer Vision and Pattern Recognition, pp. 577-584, 2010.
[4]Z. Karni, D. Freedman, and C. Gotsman, “Energy-based image deformation,”
Comput. Graph. Forum,vol.28, no.5, 2009.
[5] S. Li and Y. Hai, “A full-view spherical image format,” Proc. International Conference on Pattern Recognition, pp. 2337-2340, 2010.
[6]F. Liu and M. Gleicher, “Automatic Image Retargeting with Fisheye-view Warping,”
ACM Symposium on User Interface Software and Technolog, pp.153-162, 2005.
[7]Y. Pritch, E. Kav-Venaki, and S. Peleg, “Shift-map image editing,” Proc. IEEE International Conference on Computer Vision, pp. 151-158, 2000.
[8]M. Rubinstein, A. Shamir, and S. Avidan, “Improved seam carving for video retargeting,” ACM Trans.Graph., vol.27, no.3, 2008.
[9]M. Rubinstein, A. Shamir, and S. Avidan, „Multi-operator media retargeting,” ACM Trans. Graph.,vol.28, no.3, 2009.
[10]V. Setlur, S. Takagi, R. Raskar, M. Gleicher, and B.Gooch, “Automatic image retargeting,” Proc. of the 4th International Conference on Mobile and Ubiquitous Multimedia, pp. 59-68, 2005.
[11]A. Shamir and O. Sorkine, “Visual media retargeting,” ACM SIGGRAPH Asia Courses, 2009.
[12]D Terzopoulos and M. Vasilescu, “Sampling and reconstruction with adaptive meshes,” Proc. IEEE Comput. Soc. Conf. Computer Vision & Pattern Recognition, pp.
70-75, 1991.
[13]Y.-S. Wang, C.-L. Tai, O. Sorkine, and T.-Y. Lee,“Optimized scale-and-stretch for image resizing,” ACM Transactions on Graphics, vol.27, no.5, 2008.
[14]L. Wolf, M. Guttman, and D. Cohen, “Non-homogeneous content driven
video-retargeting,” Proc. IEEE International Conference on Computer Vision, pp. 1-6, 2007.
[15] 五上光平，原健二，浦浜喜一“エントロピー強調によるパノラマ画像の効果的横幅 縮小,” 映情誌，vol.63, no.11,pp.1622-1624, 2009.
[16] 肖云，五上光平，浦浜喜一，“バネモデルによる画像とビデオのリターゲティング,”
画像の認識・理解シンポジウム(MIRU)，2008．
[17] 中野誠士，李仕剛，千葉則茂，“球面画像獲得のための魚眼カメラの校正,” 信学 論，vol.J88-D2, no.9, pp.1847-1856,2005.
[18] 高田浩樹，原健二，五上光平，浦浜喜一，“全天周画像の顕著性マップ,” Visual
Computing/グラフィックスとCAD 合同シンポジウム，2015．
第 5 章
[1] S. Avidan and A. Shamir, “Seam carving for content-aware image resizing, ” ACM Trans. Graph., vol.26,no.3, 2007.
[2] R. Gal, O. Sorkine, and D. Cohen-Or, “Feature-aware texturing, ” Proc.Eurographics Conference on Rendering Techniques, pp. 297-303, 2006.
[3] Y. Hu and D. Rajan, “Hybrid shift map for video retargeting, ” Proc. IEEE Conference on Computer Vision and Pattern Recognition, pp. 577-584, 2010.
[4] Z. Karni, D. Freedman, and C. Gotsman, “Energybased image deformation, ”Comput.
Graph. Forum,vol.28, no.5, 2009.
[5] S. Li and Y. Hai, “A full-view spherical image format, ” Proc. International Conference on Pattern Recognition, pp. 2337-2340, 2010.
[6] Y. Pritch, E. Kav-Venaki, and S. Peleg, “Shift-map image editing, ” Proc. IEEE International Conference on Computer Vision, pp. 151-158, 2000.
[7] M. Rubinstein, A. Shamir, and S. Avidan, “Improved seam carving for video retargeting, ” ACM Trans. Graph., vol.27, no.3, 2008.
[8] M. Rubinstein, A. Shamir, and S. Avidan, “Multioperator media retargeting, ” ACM Trans. Graph.,vol.28, no.3, 2009.
[9] V. Setlur, S. Takagi, R. Raskar, M. Gleicher, and B.Gooch, “Automatic image retargeting, ” Proc. of the 4th International Conference on Mobile and Ubiquitous Multimedia, pp. 59-68, 2005.
[10] Y.-S. Wang, C.-L. Tai, O. Sorkine, and T.-Y. Lee, “Optimized scale-and-stretch for image resizing, ”ACM Transactions on Graphics, vol.27, no.5, 2008.
[11] L. Wolf, M. Guttman, and D. Cohen, “Nonhomogeneous content driven
video-retargeting, ”Proc. IEEE International Conference on Computer Vision, pp. 1-6, 2007.
[12] 長谷川一郎，天文計算入門I，恒星社, 1997.
[13] 五上光平，原健二，浦浜喜一“エントロピー強調によるパノラマ画像の効果的横 幅縮小, ”映情誌，vol.63, no.11,pp.1622-1624, 2009.
[14] 肖云，五上光平，浦浜喜一，“バネモデルによる画像とビデオのリターゲティン
グ, ”画像の認識・理解シンポジウム(MIRU)，2008．
第 6 章
[1] M.M. Chang, G.X. Zhang, N.J. Mitra, X. Huang, and S.M. Hu, “Global contrast based salient region detection,” Proc. of CVPR, pp.409-416, 2011.
[2]L. Itti, C. Koch, and E. Niebur,“A model of saliency based visual attention for rapid scene analysis,” IEEE Trans. PAMI, vol.20, no.11, pp.1254-1259, 1998.
[3]J. Harel, C. Koch, and P. Perona, “Graph-based visual saliency,” NIPS, vol.19, pp.545-552, 2006.
[4]S. Fang, J. Li, and Y. Tian, “Learning discriminative subspaces on random contrasts for image saliency analysis,” IEEE Trans. Neural Netw. Learning Syst.,vol.28, no.5, pp.1095-1108, 2016.
[5]E. Erden, and A. Erden, “Visual saliency estimation by nonlinearly integrating features using region convariances,” Journal of Vision, vol.13, no.4, pp.1-20, 2013.
[6]H.R. Tavakoli, E. Rahtu, and J. Heikkila, “Fast and efficient detection using sparse sampling and kernel density estimation,” Proc. of SCIA, pp.666-675, 2011.
[7]A. Kageyama, and T. Sato, “The „Yin-Yang grid‟: An overset grid in spherical geometry,” Geochem.Geophys., 5, Q09005, 2004.
[8]I. Bogdanova, A. Bur, and H. Hugli, “Visual attention on the sphere,” IEEE Trans.
Image Process.,vol.17, no.11, 2008.
第 7 章
[1] L. Itti, C. Koch, and E. Niebur, “A model of saliency-based visual attention for rapid scene analysis,” IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.20, no.11, pp.1254-1259, 1998.
[2]A. Behzad, and M. Modarres, “A new efficient transformation of generalized traveling salesman problem into traveling salesman problem,” Proceedings of the 15th