{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,27]],"date-time":"2026-04-27T18:32:10Z","timestamp":1777314730616,"version":"3.51.4"},"reference-count":65,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2013,6,7]],"date-time":"2013-06-07T00:00:00Z","timestamp":1370563200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int J Comput Vis"],"published-print":{"date-parts":[[2014,2]]},"DOI":"10.1007\/s11263-013-0634-z","type":"journal-article","created":{"date-parts":[[2013,6,6]],"date-time":"2013-06-06T03:35:27Z","timestamp":1370489727000},"page":"342-364","source":"Crossref","is-referenced-by-count":123,"title":["Rotation-Invariant HOG Descriptors Using Fourier Analysis in Polar and Spherical Coordinates"],"prefix":"10.1007","volume":"106","author":[{"given":"Kun","family":"Liu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Henrik","family":"Skibbe","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Thorsten","family":"Schmidt","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Thomas","family":"Blein","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Klaus","family":"Palme","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Thomas","family":"Brox","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Olaf","family":"Ronneberger","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2013,6,7]]},"reference":[{"key":"634_CR1","doi-asserted-by":"crossref","unstructured":"Ahonen, T., Matas, J., He, C., Pietik\u00e4inen, M. (2009). Rotation invariant image description with local binary pattern histogram Fourier features. In Scandinavian Conference on Image, Analysis, pp. 61\u201370.","DOI":"10.1007\/978-3-642-02230-2_7"},{"key":"634_CR2","unstructured":"Akg\u00fcl, C., Axenopoulos, A., Bustos, B., Chaouch, M., Daras, P., Dutagaci, H., Furuya, T., Godil, A., Kreft, S., Lian, Z., et al. (2009). SHREC 2009-Generic Shape Retrieval contest. In Eurographics workshop on 3D object retrieval."},{"key":"634_CR3","doi-asserted-by":"crossref","unstructured":"Allaire, S., Kim, J., Breen, S., Jaffray, D., & Pekar, V. (2008). Full orientation invariance and improved feature selectivity of 3D SIFT with application to medical image analysis. In CVPR Workshops.","DOI":"10.1109\/CVPRW.2008.4563023"},{"issue":"18","key":"634_CR4","doi-asserted-by":"crossref","first-page":"3225","DOI":"10.1364\/AO.25.003225","volume":"25","author":"H Arsenault","year":"1986","unstructured":"Arsenault, H., & Sheng, Y. (1986). Properties of the circular harmonic expansion for rotation-invariant pattern recognition. Applied Optics, 25(18), 3225\u20133229.","journal-title":"Applied Optics"},{"key":"634_CR5","doi-asserted-by":"crossref","unstructured":"Bendale, P., Triggs, B., & Kingsbury, N. (2010). Multiscale keypoint analysis based on complex wavelets. In British Machine Vision Conference, pp. 49(1\u201349), 10.","DOI":"10.5244\/C.24.49"},{"key":"634_CR6","doi-asserted-by":"crossref","unstructured":"Bourdev, L., Malik, J. (2009). Poselets: Body part detectors trained using 3D human pose annotations. In International Conference on Computer Vision, pp. 1365\u20131372.","DOI":"10.1109\/ICCV.2009.5459303"},{"issue":"1","key":"634_CR7","doi-asserted-by":"crossref","first-page":"5","DOI":"10.1023\/A:1010933404324","volume":"45","author":"L Breiman","year":"2001","unstructured":"Breiman, L. (2001). Random forests. Machine Learning, 45(1), 5\u201332.","journal-title":"Machine Learning"},{"key":"634_CR8","volume-title":"Angular momentum","author":"D Brink","year":"1968","unstructured":"Brink, D., & Satchler, G. (1968). Angular momentum. Oxford: Clarendon Press."},{"issue":"12","key":"634_CR9","doi-asserted-by":"crossref","first-page":"1650","DOI":"10.1109\/TPAMI.2004.129","volume":"26","author":"T B\u00fclow","year":"2004","unstructured":"B\u00fclow, T. (2004). Spherical diffusion for 3D surface smoothing. IEEE Transactions on Pattern Analysis and Machine Intelligence, 26(12), 1650\u20131654.","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"key":"634_CR10","first-page":"269","volume-title":"Nonlinear model-based image\/video processing and analysis","author":"H Burkhardt","year":"2001","unstructured":"Burkhardt, H., & Siggelkow, S. (2001). Invariant features in pattern recognition\u2014fundamentals and applications. In C. Kotropoulos & I. Pitas (Eds.), Nonlinear model-based image\/video processing and analysis (pp. 269\u2013307). New York: Wiley."},{"key":"634_CR11","doi-asserted-by":"crossref","unstructured":"Chang, C.-C., Lin, C.-J. (2011). LIBSVM: A library for support vector machines. ACM Transactions on Intelligent Systems and Technology, 2,27:1\u201327:27. Software available at http:\/\/www.csie.ntu.edu.tw\/cjlin\/libsvm","DOI":"10.1145\/1961189.1961199"},{"issue":"3","key":"634_CR12","first-page":"273","volume":"20","author":"C Cortes","year":"1995","unstructured":"Cortes, C., & Vapnik, V. (1995). Support-vector networks. Machine Learning, 20(3), 273\u2013297.","journal-title":"Machine Learning"},{"key":"634_CR13","doi-asserted-by":"crossref","unstructured":"Dalal, N., Triggs, B. (2005). Histograms of oriented gradients for human detection. In IEEE Conference on Computer Vision and, Pattern Recognition, pp. 886\u2013893.","DOI":"10.1109\/CVPR.2005.177"},{"issue":"2","key":"634_CR14","doi-asserted-by":"crossref","first-page":"202","DOI":"10.1006\/aama.1994.1008","volume":"15","author":"J Driscoll","year":"1994","unstructured":"Driscoll, J., & Healy, D. (1994). Computing Fourier transforms and convolutions on the 2-sphere. Advances in Applied Mathematics, 15(2), 202\u2013250.","journal-title":"Advances in Applied Mathematics"},{"key":"634_CR15","first-page":"1871","volume":"9","author":"R Fan","year":"2008","unstructured":"Fan, R., Chang, K., Hsieh, C., Wang, X., & Lin, C. (2008). LIBLINEAR: A library for large linear classification. The Journal of Machine Learning Research, 9, 1871\u20131874.","journal-title":"The Journal of Machine Learning Research"},{"key":"634_CR16","doi-asserted-by":"crossref","unstructured":"Fehr, J. (2010). Local rotation invariant patch descriptors for 3D vector fields. In International Conference on, Pattern Recognition, pp. 1381\u20131384.","DOI":"10.1109\/ICPR.2010.341"},{"issue":"9","key":"634_CR17","doi-asserted-by":"crossref","first-page":"1627","DOI":"10.1109\/TPAMI.2009.167","volume":"32","author":"P Felzenszwalb","year":"2010","unstructured":"Felzenszwalb, P., Girshick, R., McAllester, D., & Ramanan, D. (2010). Object detection with discriminatively trained part-based models. IEEE Transactions on Pattern Analysis and Machine Intelligence, 32(9), 1627\u20131645.","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"key":"634_CR18","doi-asserted-by":"crossref","unstructured":"Flitton, G., Breckon, T., & Megherbi, N. (2010). Object recognition using 3D SIFT in complex CT volumes. In British Machine Vision Conference, pp. 11(1\u201311), 12.","DOI":"10.5244\/C.24.11"},{"issue":"11","key":"634_CR19","doi-asserted-by":"crossref","first-page":"2074","DOI":"10.1016\/j.patcog.2005.03.014","volume":"38","author":"M Fornasier","year":"2005","unstructured":"Fornasier, M., & Toniolo, D. (2005). Fast, robust and efficient 2D pattern recognition for re-assembling fragmented images. Pattern Recognition, 38(11), 2074\u20132087.","journal-title":"Pattern Recognition"},{"key":"634_CR20","unstructured":"F\u00f6rstner, W., G\u00fclch, E. (1987). A fast operator for detection and precise location of distinct points, corners and centres of circular features. In ISPRS intercommission conference on fast processing of photogrammetric data, pp. 281\u2013305."},{"issue":"9","key":"634_CR21","doi-asserted-by":"crossref","first-page":"891","DOI":"10.1109\/34.93808","volume":"13","author":"W Freeman","year":"1991","unstructured":"Freeman, W., & Adelson, E. (1991). The design and use of steerable filters. IEEE Transactions on Pattern Analysis and Machine Intelligence, 13(9), 891\u2013906.","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"key":"634_CR22","doi-asserted-by":"crossref","unstructured":"Gauglitz, S. (2011). Improving keypoint orientation assignment. In British Machine Vision Conference, pp. 93(1\u201393), 11.","DOI":"10.5244\/C.25.93"},{"issue":"5","key":"634_CR23","doi-asserted-by":"crossref","first-page":"682","DOI":"10.1364\/JOSAA.6.000682","volume":"6","author":"G Giannakis","year":"1989","unstructured":"Giannakis, G. (1989). Signal reconstruction from multiple correlations: frequency- and time-domain approaches. Journal of Optical Society of America A, 6(5), 682\u2013697.","journal-title":"Journal of Optical Society of America A"},{"key":"634_CR24","volume-title":"Matrix computations","author":"G Golub","year":"1996","unstructured":"Golub, G., & Van Loan, C. (1996). Matrix computations. Baltimore: Johns Hopkins Univ Press."},{"key":"634_CR25","first-page":"2","volume":"2","author":"R Green","year":"2003","unstructured":"Green, R. (2003). Spherical harmonic lighting: The gritty details. In Game Developers Conference, 2, 2\u20133.","journal-title":"In Game Developers Conference"},{"issue":"1","key":"634_CR26","doi-asserted-by":"crossref","first-page":"35","DOI":"10.1007\/s10994-007-5009-7","volume":"68","author":"B Haasdonk","year":"2007","unstructured":"Haasdonk, B., & Burkhardt, H. (2007). Invariant kernel functions for pattern analysis and machine learning. Machine Learning, 68(1), 35\u201361.","journal-title":"Machine Learning"},{"key":"634_CR27","doi-asserted-by":"crossref","unstructured":"Heitz, G., Koller, D. (2008). Learning spatial context: Using stuff to find things. In European Conference on Computer Vision, pp. 30\u201343.","DOI":"10.1007\/978-3-540-88682-2_4"},{"issue":"11","key":"634_CR28","doi-asserted-by":"crossref","first-page":"3242","DOI":"10.1109\/78.875481","volume":"48","author":"G Jacovitti","year":"2000","unstructured":"Jacovitti, G., & Neri, A. (2000). Multiresolution circular harmonic decomposition. IEEE Transaction on Signal Processing, 48(11), 3242\u20133247.","journal-title":"IEEE Transaction on Signal Processing"},{"key":"634_CR29","doi-asserted-by":"crossref","unstructured":"Kavukcuoglu, K., Ranzato, M., Fergus, R., Le-Cun, Y. (2009). Learning invariant features through topographic filter maps. In IEEE Conference on Computer Vision and, Pattern Recognition, pp. 1605\u20131612.","DOI":"10.1109\/CVPR.2009.5206545"},{"key":"634_CR30","unstructured":"Kazhdan, M., Funkhouser, T., Rusinkiewicz, S. (2003). Rotation invariant spherical harmonic representation of 3D shape descriptors. In Eurographics\/ACM SIGGRAPH symposium on Geometry processing, pp. 156\u2013164."},{"key":"634_CR31","doi-asserted-by":"crossref","unstructured":"Kl\u00e4ser, A., Marsza\u0142ek, M., Schmid, C. (2008). A spatio-temporal descriptor based on 3D-gradients. In British Machine Vision Conference, pp. 995\u20131004.","DOI":"10.5244\/C.22.99"},{"key":"634_CR32","doi-asserted-by":"crossref","unstructured":"Knopp, J., Prasad, M., Van Gool, L. (2010a). Orientation invariant 3D object classification using Hough transform based methods. In ACM Multimedia, Workshop, pp. 15\u201320.","DOI":"10.1145\/1877808.1877813"},{"key":"634_CR33","doi-asserted-by":"crossref","unstructured":"Knopp, J., Prasad, M., Willems, G., Timofte, R., Van Gool, L. (2010b). Hough transform and 3D SURF for robust three dimensional classification. In European Conference on Computer Vision, pp. 589\u2013602.","DOI":"10.1007\/978-3-642-15567-3_43"},{"issue":"11","key":"634_CR34","doi-asserted-by":"crossref","first-page":"2278","DOI":"10.1109\/5.726791","volume":"86","author":"Y LeCun","year":"1998","unstructured":"LeCun, Y., Bottou, L., Bengio, Y., & Haffner, P. (1998). Gradient-based learning applied to document recognition. Proceedings of the IEEE, 86(11), 2278\u20132324.","journal-title":"Proceedings of the IEEE"},{"key":"634_CR35","doi-asserted-by":"crossref","DOI":"10.1007\/3-540-52290-5","volume-title":"Group theoretical methods in image processing","author":"R Lenz","year":"1990","unstructured":"Lenz, R. (1990). Group theoretical methods in image processing. Berlin: Springer."},{"key":"634_CR36","unstructured":"Lin, W., Liu, L., Matsushita, Y., Low, K., Liu, S. (2012). Aligning images in the wild. In IEEE Conference on Computer Vision and, Pattern Recognition, pp. 1\u20138."},{"key":"634_CR37","doi-asserted-by":"crossref","unstructured":"Liu, K., Skibbe, H., Schmidt, T., Blein, T., Palme, K., & Ronneberger, O. (2011). 3D rotation-invariant description from tensor operation on spherical HOG field. In British Machine Vision Conference, pp. 33(1-33), 12.","DOI":"10.5244\/C.25.33"},{"key":"634_CR38","unstructured":"Liu, K., Wang, Q., Driever, W., Ronneberger, O. (2012). 2D\/3D Rotation-invariant Detection using Equivariant Filters and Kernel Weighted Mapping. In IEEE Conference on Computer Vision and, Pattern Recognition, pp. 917\u2013924."},{"issue":"2","key":"634_CR39","doi-asserted-by":"crossref","first-page":"91","DOI":"10.1023\/B:VISI.0000029664.99615.94","volume":"60","author":"D Lowe","year":"2004","unstructured":"Lowe, D. (2004). Distinctive image features from scale-invariant keypoints. International Journal of Computer Vision, 60(2), 91\u2013110.","journal-title":"International Journal of Computer Vision"},{"issue":"2","key":"634_CR40","doi-asserted-by":"crossref","first-page":"193","DOI":"10.1007\/s11263-009-0280-7","volume":"89","author":"A Makadia","year":"2010","unstructured":"Makadia, A., & Daniilidis, K. (2010). Spherical correlation of visual representations for 3D model retrieval. International Journal of Computer Vision, 89(2), 193\u2013210.","journal-title":"International Journal of Computer Vision"},{"issue":"6","key":"634_CR41","doi-asserted-by":"crossref","first-page":"1473","DOI":"10.1162\/neco.2010.01-09-953","volume":"22","author":"R Memisevic","year":"2010","unstructured":"Memisevic, R., & Hinton, G. (2010). Learning to represent spatial transformations with factored higher-order boltzmann machines. Neural Computation, 22(6), 1473\u20131492.","journal-title":"Neural Computation"},{"issue":"3","key":"634_CR42","doi-asserted-by":"crossref","first-page":"448","DOI":"10.1109\/TPAMI.2009.23","volume":"32","author":"M \u00d6zuysal","year":"2010","unstructured":"\u00d6zuysal, M., Calonder, M., Lepetit, V., & Fua, P. (2010). Fast keypoint recognition using random ferns. IEEE Transactions on Pattern Analysis and Machine Intelligence, 32(3), 448\u2013461.","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"issue":"11","key":"634_CR43","doi-asserted-by":"crossref","first-page":"3051","DOI":"10.1109\/TIP.2011.2147323","volume":"20","author":"C Ponce","year":"2011","unstructured":"Ponce, C., & Singer, A. (2011). Computing steerable principal components of a large set of images and their rotations. IEEE Transactions on Image Processing, 20(11), 3051\u20133062.","journal-title":"IEEE Transactions on Image Processing"},{"key":"634_CR44","doi-asserted-by":"crossref","unstructured":"Reisert, M., & Burkhardt, H. (2008a). Efficient tensor voting with 3D tensorial harmonics. In CVPR Workshops.","DOI":"10.1109\/CVPRW.2008.4562962"},{"issue":"2","key":"634_CR45","doi-asserted-by":"crossref","first-page":"190","DOI":"10.1109\/TIP.2007.914218","volume":"17","author":"M Reisert","year":"2008","unstructured":"Reisert, M., & Burkhardt, H. (2008b). Equivariant holomorphic filters for contour denoising and rapid object detection. IEEE Transactions on Image Processing, 17(2), 190\u2013203.","journal-title":"IEEE Transactions on Image Processing"},{"key":"634_CR46","doi-asserted-by":"crossref","unstructured":"Reisert M., Burkhardt H. (2009) Spherical Tensor Calculus for Local Adaptive Filtering. In: Aja-Fern\u00e1ndez S., de Luis Garc\u00eda R., Tao D., Li X. (eds) Tensors in Image Processing and Computer Vision Advances in Pattern Recognition. Springer, USA, pp. 153\u2013178.","DOI":"10.1007\/978-1-84882-299-3_7"},{"key":"634_CR47","doi-asserted-by":"crossref","unstructured":"Ronneberger, O., Burkhardt, H., & Schultz, E. (2002). General-purpose Object Recognition in 3D Volume Data Sets using Gray-Scale Invariants\u2014Classification of Airborne Pollen-Grains Recorded with a Confocal Laser Scanning Microscope. In International Conference on Pattern Recognition, 2, 290\u2013295.","DOI":"10.1109\/ICPR.2002.1048297"},{"issue":"7","key":"634_CR48","doi-asserted-by":"crossref","first-page":"735","DOI":"10.1038\/nmeth.2076","volume":"9","author":"O Ronneberger","year":"2012","unstructured":"Ronneberger, O., Liu, K., Rath, M., Ruess, D., Mueller, T., Skibbe, H., et al. (2012). ViBE-Z: a framework for 3D virtual colocalization analysis in zebrafish larval brains. Nature Methods, 9(7), 735\u2013742.","journal-title":"Nature Methods"},{"key":"634_CR49","unstructured":"Ronneberger, O., Wang, Q., & Burkhardt, H. (2007). 3D Invariants with High Robustness to Local Deformations for Automated Pollen Recognition (pp. 455\u2013435). Pattern recognition: In DAGM conference on."},{"key":"634_CR50","volume-title":"Elementary theory of angular momentum","author":"M Rose","year":"1957","unstructured":"Rose, M. (1957). Elementary theory of angular momentum. New York: Wiley."},{"key":"634_CR51","unstructured":"Scherer, M., Walter, M., & Schreck, T. (2010). Histograms of Oriented Gradients for 3D Model Retrieval (pp. 41\u201348). Visualization and Computer Vision: In International Conference in Central Europe on Computer Graphics."},{"key":"634_CR52","unstructured":"Schmidt, T., Keuper, M., Pasternak, T., Palme, K., & Ronneberger, O. (2012). Modeling of Sparsely Sampled Tubular Surfaces Using Coupled Curves (pp. 83\u201392). Pattern recognition: In DAGM conference on."},{"key":"634_CR53","doi-asserted-by":"crossref","unstructured":"Schmidt, U., Roth, S. (2012). Learning rotation-aware features: From invariant priors to equivariant descriptors. In IEEE Conference on Computer Vision and, Pattern Recognition, pp. 2050\u20132057.","DOI":"10.1109\/CVPR.2012.6247909"},{"key":"634_CR54","doi-asserted-by":"crossref","first-page":"263","DOI":"10.1007\/978-3-540-88378-4_13","volume-title":"Visualization and processing of tensor fields","author":"T Schultz","year":"2009","unstructured":"Schultz, T., Weickert, J., & Seidel, H. (2009). A higher-order structure tensor. In D. Laidlaw & J. Weickert (Eds.), Visualization and processing of tensor fields (pp. 263\u2013279). Berlin: Springer."},{"issue":"6","key":"634_CR55","doi-asserted-by":"crossref","first-page":"771","DOI":"10.1364\/JOSAA.3.000771","volume":"3","author":"Y Sheng","year":"1986","unstructured":"Sheng, Y., & Arsenault, H. (1986). Experiments on pattern recognition using invariant Fourier-Mellin descriptors. Journal of Optical Society of America A, 3(6), 771\u2013776.","journal-title":"Journal of Optical Society of America A"},{"key":"634_CR56","doi-asserted-by":"crossref","unstructured":"Shilane, P., Min, P., Kazhdan, M., Funkhouser, T. (2004). The Princeton Shape Benchmark. In International Conference on Shape Modeling and Applications, pp. 167\u2013178.","DOI":"10.1109\/SMI.2004.1314504"},{"key":"634_CR57","doi-asserted-by":"crossref","unstructured":"Skibbe, H., & Reisert, M. (2012). Circular Fourier-HOG features for rotation invariant object detection in biomedical images. In IEEE International Symposium on Biomedical Imaging, pp. 450\u2013453.","DOI":"10.1109\/ISBI.2012.6235581"},{"key":"634_CR58","doi-asserted-by":"crossref","unstructured":"Skibbe, H., Reisert, M., & Burkhardt, H. (2011). SHOG-spherical HOG descriptors for rotation invariant 3D object detection. In DAGM conference on Pattern recognition, pp. 142\u2013151.","DOI":"10.1007\/978-3-642-23123-0_15"},{"key":"634_CR59","doi-asserted-by":"crossref","unstructured":"Skibbe, H., Reisert, M., Ronneberger, O., & Burkhardt, H. (2009). Increasing the dimension of creativity in rotation invariant feature design using 3D tensorial harmonics. In DAGM conference on Pattern recognition, pp. 141\u2013150.","DOI":"10.1007\/978-3-642-03798-6_15"},{"key":"634_CR60","doi-asserted-by":"crossref","unstructured":"Skibbe, H., Reisert, M., Schmidt, T., Brox, T., Ronneberger, O., Burkhardt, H. (2012). Fast rotation invariant 3D feature computation utilizing efficient local neighborhood operators. IEEE Transactions on Pattern Analysis and Machine Intelligence, 34(8):1563\u20131575. Software available at https:\/\/bitbucket.org\/skibbe\/sta-imagetoolbox","DOI":"10.1109\/TPAMI.2011.263"},{"key":"634_CR61","doi-asserted-by":"crossref","unstructured":"Takacs, G., Chandrasekhar, V., Tsai, S., Chen, D., Grzeszczuk, R., Girod, B. (2010). Unified real-time tracking and recognition with rotation-invariant fast features. In IEEE Conference on Computer Vision and, Pattern Recognition, pp. 934\u2013941.","DOI":"10.1109\/CVPR.2010.5540116"},{"key":"634_CR62","doi-asserted-by":"crossref","unstructured":"Vedaldi, A., Blaschko, M., Zisserman, A. (2011). Learning equivariant structured output SVM regressors. In International Conference on Computer Vision, pp. 959\u2013966.","DOI":"10.1109\/ICCV.2011.6126339"},{"key":"634_CR63","doi-asserted-by":"crossref","unstructured":"Villamizar, M., Moreno-Noguer, F., Andrade-Cetto, J., Sanfeliu, A. (2010). Efficient rotation invariant object detection using boosted random ferns. In IEEE Conference on Computer Vision and, Pattern Recognition, pp. 1038\u20131045.","DOI":"10.1109\/CVPR.2010.5540104"},{"key":"634_CR64","doi-asserted-by":"crossref","first-page":"1715","DOI":"10.1109\/TPAMI.2009.29","volume":"31","author":"Q Wang","year":"2009","unstructured":"Wang, Q., Ronneberger, O., & Burkhardt, H. (2009). Rotational invariance based on fourier analysis in polar and spherical coordinates. IEEE Transactions on Pattern Analysis and Machine Intelligence, 31, 1715\u20131722.","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"key":"634_CR65","doi-asserted-by":"crossref","unstructured":"Wolberg, G., Zokai, S. (2000). Robust image registration using log-polar transform. In IEEE International Conference on Image Processing, pp. 493\u2013496.","DOI":"10.1109\/ICIP.2000.901003"}],"container-title":["International Journal of Computer Vision"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11263-013-0634-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11263-013-0634-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11263-013-0634-z","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,7,14]],"date-time":"2019-07-14T19:53:12Z","timestamp":1563133992000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11263-013-0634-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,6,7]]},"references-count":65,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2014,2]]}},"alternative-id":["634"],"URL":"https:\/\/doi.org\/10.1007\/s11263-013-0634-z","relation":{},"ISSN":["0920-5691","1573-1405"],"issn-type":[{"value":"0920-5691","type":"print"},{"value":"1573-1405","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,6,7]]}}}