ASIFT swMATH ID: 2778 Software Authors: Jean-Michel Morel, Guoshen Yu Description: A fully affine invariant image comparison method, Affine-SIFT (ASIFT) is introduced. While SIFT is fully invariant with respect to only four parameters namely zoom, rotation and translation, the new method treats the two left over parameters : the angles defining the camera axis orientation. Against any prognosis, simulating all views depending on these two parameters is feasible. The method permits to reliably identify features that have undergone very large affine distortions measured by a new parameter, the transition tilt. State-of-the-art methods hardly exceed transition tilts of 2 (SIFT), 2.5 (Harris-Affine and Hessian-Affine) and 10 (MSER). ASIFT can handle transition tilts up 36 and higher. Homepage: http://www.cmap.polytechnique.fr/~yu/research/ASIFT/demo.html Programming Languages: C++ Operating Systems: multi-platform Keywords: image matching; descriptors; affine invariance; scale invariance; affine normalization; scale-invariant feature transform (SIFT) Related Software: SIFT; SURF; PCA-SIFT; BRISK; FREAK; Vlfeat; KAZE Features; ScatNet; PASCAL VOC; MegaWave; RASL; ESPNet; RotEqNet; Faster R-CNN; DeepLab; CIFAR; OverFeat; DeepFool; Otsus; Illustrator Cited in: 33 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year ASIFT: A new framework for fully affine invariant image comparison. Zbl 1181.68252Morel, Jean-Michel; Yu, Guoshen 2009 all top 5 Cited by 97 Authors 7 Morel, Jean-Michel 3 Raviv, Dan 2 Almansa, Andrés 2 Ballester, Coloma 2 Delon, Julie 2 Kimmel, Ron 2 Musé, Pablo 2 Sadek, Rida 2 Yu, Guoshen 1 Angulo-Umaña, Pedro 1 Arias, Pablo 1 Avidan, Shai 1 Becker, Florian 1 Berthier, Michel 1 Blaysat, Benoit 1 Bohi, Amine 1 Bouchara, Frédéric 1 Bronstein, Alexander M. 1 Bronstein, Michael M. 1 Buades, Antoni 1 Calder, Jeff 1 Caselles Costa, Vicent 1 Chang, Chin-Chun 1 Chatterjee, Sromona 1 Cheng, Shyi-Chyi 1 Chung, Chi-Han 1 Coll, Bartomeu 1 Constantinopoulos, Constantinos 1 Cuenca, Carmelo 1 Delbracio, Mauricio 1 Desolneux, Agnès 1 Ding, Yanyun 1 El Mir, Ghina 1 Esclarín, Julio 1 Facciolo, Gabriele 1 Fan, Aoxiang 1 Farhan, Erez 1 Fedorov, Vadim 1 Ganesh, Arvind 1 Gauthier, Jean-Paul A. 1 Gousseau, Yann 1 Grédiac, Michel 1 Guis, Vincente 1 Hagege, Rami R. 1 He, Yuchen 1 Hessburg, Bo 1 Huo, Haili 1 Jansson, Ylva 1 Jiang, Junjun 1 Jiang, Xingyu 1 Kang, Sung Ha 1 Kolbe, Lutz M. 1 Korman, Simon 1 Kumar, Mohit 1 Leclaire, Arthur 1 Li, Jipeng 1 Li, Zheng 1 Liang, Xiao 1 Lindeberg, Tony 1 Liu, Yiguang 1 Ma, Jiayi 1 Ma, Yi 1 Matas, Jiří 1 Mazorra, Luis 1 Meinhardt, Enric 1 Mishkin, Dmytro 1 Olver, Peter John 1 O’Neill, Riley C. W. 1 Paradowski, Mariusz 1 Petra, Stefania 1 Prandi, Dario 1 Qu, Xiujie 1 Rabin, Julien 1 Raskar, Ramesh 1 Reichman, Daniel 1 Rodríguez, Mariano 1 Rougé, Bernard 1 Saint-Jean, Christophe 1 Schnörr, Christoph 1 Shakiban, Chehrzad 1 Śluzek, Andrzej 1 Sochen, Nir 1 Sur, Frédéric 1 Tepper, Mariano 1 Tsur, Gilad 1 Waisman, Dan 1 Xiao, Yunhai 1 Xu, Wenzheng 1 Yan, Junchi 1 Yang, Jingzhi 1 Yang, Yun 1 Yezzi-Woodley, Katrina 1 Yu, Yanhua 1 Zhang, WeiPing 1 Zhang, Zhengdong 1 Zhao, Fei 1 Zhou, Mengzhe all top 5 Cited in 9 Serials 11 SIAM Journal on Imaging Sciences 9 Journal of Mathematical Imaging and Vision 4 International Journal of Computer Vision 1 Information Sciences 1 Pattern Recognition 1 Advances in Applied Clifford Algebras 1 Mathematical Problems in Engineering 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Inverse Problems and Imaging all top 5 Cited in 13 Fields 28 Computer science (68-XX) 12 Information and communication theory, circuits (94-XX) 6 Numerical analysis (65-XX) 4 Differential geometry (53-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Statistics (62-XX) 2 Partial differential equations (35-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) Citations by Year