[{"title":"Solving relaxations of MAP-MRF problems: Combinatorial in-face Frank-Wolfe directions","article_processing_charge":"No","oa_version":"Preprint","arxiv":1,"author":[{"id":"3D50B0BA-F248-11E8-B48F-1D18A9856A87","last_name":"Kolmogorov","full_name":"Kolmogorov, Vladimir","first_name":"Vladimir"}],"year":"2023","status":"public","date_created":"2023-10-22T22:01:16Z","publisher":"IEEE","publication_status":"published","date_published":"2023-08-22T00:00:00Z","scopus_import":"1","isi":1,"language":[{"iso":"eng"}],"day":"22","page":"11980-11989","type":"conference","quality_controlled":"1","conference":{"name":"CVPR: Conference on Computer Vision and Pattern Recognition","end_date":"2023-06-24","start_date":"2023-06-17","location":"Vancouver, Canada"},"main_file_link":[{"url":" https://doi.org/10.48550/arXiv.2010.09567","open_access":"1"}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","citation":{"short":"V. Kolmogorov, in:, Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition, IEEE, 2023, pp. 11980–11989.","ama":"Kolmogorov V. Solving relaxations of MAP-MRF problems: Combinatorial in-face Frank-Wolfe directions. In: <i>Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition</i>. Vol 2023. IEEE; 2023:11980-11989. doi:<a href=\"https://doi.org/10.1109/CVPR52729.2023.01153\">10.1109/CVPR52729.2023.01153</a>","chicago":"Kolmogorov, Vladimir. “Solving Relaxations of MAP-MRF Problems: Combinatorial in-Face Frank-Wolfe Directions.” In <i>Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition</i>, 2023:11980–89. IEEE, 2023. <a href=\"https://doi.org/10.1109/CVPR52729.2023.01153\">https://doi.org/10.1109/CVPR52729.2023.01153</a>.","mla":"Kolmogorov, Vladimir. “Solving Relaxations of MAP-MRF Problems: Combinatorial in-Face Frank-Wolfe Directions.” <i>Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition</i>, vol. 2023, IEEE, 2023, pp. 11980–89, doi:<a href=\"https://doi.org/10.1109/CVPR52729.2023.01153\">10.1109/CVPR52729.2023.01153</a>.","apa":"Kolmogorov, V. (2023). Solving relaxations of MAP-MRF problems: Combinatorial in-face Frank-Wolfe directions. In <i>Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition</i> (Vol. 2023, pp. 11980–11989). Vancouver, Canada: IEEE. <a href=\"https://doi.org/10.1109/CVPR52729.2023.01153\">https://doi.org/10.1109/CVPR52729.2023.01153</a>","ista":"Kolmogorov V. 2023. Solving relaxations of MAP-MRF problems: Combinatorial in-face Frank-Wolfe directions. Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition. CVPR: Conference on Computer Vision and Pattern Recognition vol. 2023, 11980–11989.","ieee":"V. Kolmogorov, “Solving relaxations of MAP-MRF problems: Combinatorial in-face Frank-Wolfe directions,” in <i>Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition</i>, Vancouver, Canada, 2023, vol. 2023, pp. 11980–11989."},"publication_identifier":{"issn":["1063-6919"],"isbn":["9798350301298"]},"doi":"10.1109/CVPR52729.2023.01153","oa":1,"corr_author":"1","date_updated":"2025-09-09T13:09:58Z","external_id":{"isi":["001062522104029"],"arxiv":["2010.09567"]},"publication":"Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition","department":[{"_id":"VlKo"}],"volume":2023,"month":"08","abstract":[{"lang":"eng","text":"We consider the problem of solving LP relaxations of MAP-MRF inference problems, and in particular the method proposed recently in [16], [35]. As a key computational subroutine, it uses a variant of the Frank-Wolfe (FW) method to minimize a smooth convex function over a combinatorial polytope. We propose an efficient implementation of this subroutine based on in-face Frank-Wolfe directions, introduced in [4] in a different context. More generally, we define an abstract data structure for a combinatorial subproblem that enables in-face FW directions, and describe its specialization for tree-structured MAP-MRF inference subproblems. Experimental results indicate that the resulting method is the current state-of-art LP solver for some classes of problems. Our code is available at pub.ist.ac.at/~vnk/papers/IN-FACE-FW.html."}],"_id":"14448","intvolume":"      2023"},{"external_id":{"arxiv":["2203.04913"]},"date_updated":"2023-09-11T09:19:14Z","extern":"1","oa":1,"month":"07","abstract":[{"lang":"eng","text":"Algorithmic fairness is frequently motivated in terms of a trade-off in which overall performance is decreased so as to improve performance on disadvantaged groups where the algorithm would otherwise be less accurate. Contrary to this, we find that applying existing fairness approaches to computer vision improve fairness by degrading the performance of classifiers across all groups (with increased degradation on the best performing groups). Extending the bias-variance decomposition for classification to fairness, we theoretically explain why the majority of fairness methods designed for low capacity models should not be used in settings involving high-capacity models, a scenario common to computer vision. We corroborate this analysis with extensive experimental support that shows that many of the fairness heuristics used in computer vision also degrade performance on the most disadvantaged groups. Building on these insights, we propose an adaptive augmentation strategy that, uniquely, of all methods tested, improves performance for the disadvantaged groups."}],"_id":"14114","department":[{"_id":"FrLo"}],"publication":"2022 IEEE/CVF Conference on Computer Vision and Pattern Recognition","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2203.04913"}],"citation":{"ieee":"D. Zietlow <i>et al.</i>, “Leveling down in computer vision: Pareto inefficiencies in fair deep classifiers,” in <i>2022 IEEE/CVF Conference on Computer Vision and Pattern Recognition</i>, New Orleans, LA, United States, 2022, pp. 10400–10411.","ista":"Zietlow D, Lohaus M, Balakrishnan G, Kleindessner M, Locatello F, Scholkopf B, Russell C. 2022. Leveling down in computer vision: Pareto inefficiencies in fair deep classifiers. 2022 IEEE/CVF Conference on Computer Vision and Pattern Recognition. CVPR: Conference on Computer Vision and Pattern Recognition, 10400–10411.","apa":"Zietlow, D., Lohaus, M., Balakrishnan, G., Kleindessner, M., Locatello, F., Scholkopf, B., &#38; Russell, C. (2022). Leveling down in computer vision: Pareto inefficiencies in fair deep classifiers. In <i>2022 IEEE/CVF Conference on Computer Vision and Pattern Recognition</i> (pp. 10400–10411). New Orleans, LA, United States: Institute of Electrical and Electronics Engineers. <a href=\"https://doi.org/10.1109/cvpr52688.2022.01016\">https://doi.org/10.1109/cvpr52688.2022.01016</a>","mla":"Zietlow, Dominik, et al. “Leveling down in Computer Vision: Pareto Inefficiencies in Fair Deep Classifiers.” <i>2022 IEEE/CVF Conference on Computer Vision and Pattern Recognition</i>, Institute of Electrical and Electronics Engineers, 2022, pp. 10400–11, doi:<a href=\"https://doi.org/10.1109/cvpr52688.2022.01016\">10.1109/cvpr52688.2022.01016</a>.","chicago":"Zietlow, Dominik, Michael Lohaus, Guha Balakrishnan, Matthaus Kleindessner, Francesco Locatello, Bernhard Scholkopf, and Chris Russell. “Leveling down in Computer Vision: Pareto Inefficiencies in Fair Deep Classifiers.” In <i>2022 IEEE/CVF Conference on Computer Vision and Pattern Recognition</i>, 10400–411. Institute of Electrical and Electronics Engineers, 2022. <a href=\"https://doi.org/10.1109/cvpr52688.2022.01016\">https://doi.org/10.1109/cvpr52688.2022.01016</a>.","ama":"Zietlow D, Lohaus M, Balakrishnan G, et al. Leveling down in computer vision: Pareto inefficiencies in fair deep classifiers. In: <i>2022 IEEE/CVF Conference on Computer Vision and Pattern Recognition</i>. Institute of Electrical and Electronics Engineers; 2022:10400-10411. doi:<a href=\"https://doi.org/10.1109/cvpr52688.2022.01016\">10.1109/cvpr52688.2022.01016</a>","short":"D. Zietlow, M. Lohaus, G. Balakrishnan, M. Kleindessner, F. Locatello, B. Scholkopf, C. Russell, in:, 2022 IEEE/CVF Conference on Computer Vision and Pattern Recognition, Institute of Electrical and Electronics Engineers, 2022, pp. 10400–10411."},"quality_controlled":"1","conference":{"location":"New Orleans, LA, United States","start_date":"2022-06-18","name":"CVPR: Conference on Computer Vision and Pattern Recognition","end_date":"2022-06-24"},"doi":"10.1109/cvpr52688.2022.01016","publication_identifier":{"isbn":["9781665469470"],"issn":["1063-6919"],"eissn":["2575-7075"]},"date_published":"2022-07-01T00:00:00Z","type":"conference","day":"01","page":"10400-10411","scopus_import":"1","language":[{"iso":"eng"}],"year":"2022","author":[{"last_name":"Zietlow","full_name":"Zietlow, Dominik","first_name":"Dominik"},{"last_name":"Lohaus","first_name":"Michael","full_name":"Lohaus, Michael"},{"last_name":"Balakrishnan","full_name":"Balakrishnan, Guha","first_name":"Guha"},{"last_name":"Kleindessner","first_name":"Matthaus","full_name":"Kleindessner, Matthaus"},{"first_name":"Francesco","full_name":"Locatello, Francesco","last_name":"Locatello","id":"26cfd52f-2483-11ee-8040-88983bcc06d4","orcid":"0000-0002-4850-0683"},{"first_name":"Bernhard","full_name":"Scholkopf, Bernhard","last_name":"Scholkopf"},{"first_name":"Chris","full_name":"Russell, Chris","last_name":"Russell"}],"oa_version":"Preprint","title":"Leveling down in computer vision: Pareto inefficiencies in fair deep classifiers","article_processing_charge":"No","arxiv":1,"publisher":"Institute of Electrical and Electronics Engineers","publication_status":"published","status":"public","date_created":"2023-08-21T12:18:00Z"},{"author":[{"last_name":"B R","first_name":"Mallikarjun","full_name":"B R, Mallikarjun"},{"last_name":"Tewari","full_name":"Tewari, Ayush","first_name":"Ayush"},{"first_name":"Tae-Hyun","full_name":"Oh, Tae-Hyun","last_name":"Oh"},{"last_name":"Weyrich","full_name":"Weyrich, Tim","first_name":"Tim"},{"orcid":"0000-0001-6511-9385","id":"49876194-F248-11E8-B48F-1D18A9856A87","last_name":"Bickel","first_name":"Bernd","full_name":"Bickel, Bernd"},{"full_name":"Seidel, Hans-Peter","first_name":"Hans-Peter","last_name":"Seidel"},{"last_name":"Pfister","full_name":"Pfister, Hanspeter","first_name":"Hanspeter"},{"full_name":"Matusik, Wojciech","first_name":"Wojciech","last_name":"Matusik"},{"last_name":"Elgharib","first_name":"Mohamed","full_name":"Elgharib, Mohamed"},{"last_name":"Theobalt","full_name":"Theobalt, Christian","first_name":"Christian"}],"year":"2021","title":"Monocular reconstruction of neural face reflectance fields","article_processing_charge":"No","oa_version":"Preprint","arxiv":1,"publisher":"IEEE","publication_status":"published","acknowledgement":"We thank Tarun Yenamandra and Duarte David for helping us with the comparisons. This work was supported by the\r\nERC Consolidator Grant 4DReply (770784). We also acknowledge support from InterDigital.","status":"public","date_created":"2021-08-24T06:03:00Z","date_published":"2021-09-01T00:00:00Z","day":"01","ddc":["000"],"page":"4791-4800","type":"conference","scopus_import":"1","isi":1,"language":[{"iso":"eng"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"chicago":"B R, Mallikarjun, Ayush Tewari, Tae-Hyun Oh, Tim Weyrich, Bernd Bickel, Hans-Peter Seidel, Hanspeter Pfister, Wojciech Matusik, Mohamed Elgharib, and Christian Theobalt. “Monocular Reconstruction of Neural Face Reflectance Fields.” In <i>Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition</i>, 4791–4800. IEEE, 2021. <a href=\"https://doi.org/10.1109/CVPR46437.2021.00476\">https://doi.org/10.1109/CVPR46437.2021.00476</a>.","mla":"B R, Mallikarjun, et al. “Monocular Reconstruction of Neural Face Reflectance Fields.” <i>Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition</i>, IEEE, 2021, pp. 4791–800, doi:<a href=\"https://doi.org/10.1109/CVPR46437.2021.00476\">10.1109/CVPR46437.2021.00476</a>.","ista":"B R M, Tewari A, Oh T-H, Weyrich T, Bickel B, Seidel H-P, Pfister H, Matusik W, Elgharib M, Theobalt C. 2021. Monocular reconstruction of neural face reflectance fields. Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition. CVPR: Conference on Computer Vision and Pattern Recognition, 4791–4800.","apa":"B R, M., Tewari, A., Oh, T.-H., Weyrich, T., Bickel, B., Seidel, H.-P., … Theobalt, C. (2021). Monocular reconstruction of neural face reflectance fields. In <i>Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition</i> (pp. 4791–4800). Nashville, TN, United States; Virtual: IEEE. <a href=\"https://doi.org/10.1109/CVPR46437.2021.00476\">https://doi.org/10.1109/CVPR46437.2021.00476</a>","ieee":"M. B R <i>et al.</i>, “Monocular reconstruction of neural face reflectance fields,” in <i>Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition</i>, Nashville, TN, United States; Virtual, 2021, pp. 4791–4800.","short":"M. B R, A. Tewari, T.-H. Oh, T. Weyrich, B. Bickel, H.-P. Seidel, H. Pfister, W. Matusik, M. Elgharib, C. Theobalt, in:, Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition, IEEE, 2021, pp. 4791–4800.","ama":"B R M, Tewari A, Oh T-H, et al. Monocular reconstruction of neural face reflectance fields. In: <i>Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition</i>. IEEE; 2021:4791-4800. doi:<a href=\"https://doi.org/10.1109/CVPR46437.2021.00476\">10.1109/CVPR46437.2021.00476</a>"},"file_date_updated":"2021-08-24T06:02:15Z","quality_controlled":"1","conference":{"location":"Nashville, TN, United States; Virtual","start_date":"2021-06-20","name":"CVPR: Conference on Computer Vision and Pattern Recognition","end_date":"2021-06-25"},"has_accepted_license":"1","doi":"10.1109/CVPR46437.2021.00476","publication_identifier":{"isbn":["978-166544509-2"],"issn":["1063-6919"]},"date_updated":"2023-08-11T11:08:35Z","external_id":{"isi":["000739917304096"],"arxiv":["2008.10247"]},"oa":1,"month":"09","file":[{"checksum":"961db0bde76dd87cf833930080bb9f38","creator":"bbickel","content_type":"application/pdf","file_size":4746649,"date_created":"2021-08-24T06:02:15Z","file_id":"9958","access_level":"open_access","date_updated":"2021-08-24T06:02:15Z","relation":"main_file","file_name":"R_Monocular_Reconstruction_of_Neural_Face_Reflectance_Fields_CVPR_2021_paper[1].pdf"}],"abstract":[{"lang":"eng","text":"The reflectance field of a face describes the reflectance properties responsible for complex lighting effects including diffuse, specular, inter-reflection and self shadowing. Most existing methods for estimating the face reflectance from a monocular image assume faces to be diffuse with very few approaches adding a specular component. This still leaves out important perceptual aspects of reflectance as higher-order global illumination effects and self-shadowing are not modeled. We present a new neural representation for face reflectance where we can estimate all components of the reflectance responsible for the final appearance from a single monocular image. Instead of modeling each component of the reflectance separately using parametric models, our neural representation allows us to generate a basis set of faces in a geometric deformation-invariant space, parameterized by the input light direction, viewpoint and face geometry. We learn to reconstruct this reflectance field of a face just from a monocular image, which can be used to render the face from any viewpoint in any light condition. Our method is trained on a light-stage training dataset, which captures 300 people illuminated with 150 light conditions from 8 viewpoints. We show that our method outperforms existing monocular reflectance reconstruction methods, in terms of photorealism due to better capturing of physical premitives, such as sub-surface scattering, specularities, self-shadows and other higher-order effects."}],"_id":"9957","publication":"Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition","department":[{"_id":"BeBi"}]},{"arxiv":1,"title":"Map inference via block-coordinate Frank-Wolfe algorithm","article_processing_charge":"No","oa_version":"Preprint","ec_funded":1,"author":[{"last_name":"Swoboda","id":"446560C6-F248-11E8-B48F-1D18A9856A87","first_name":"Paul","full_name":"Swoboda, Paul"},{"last_name":"Kolmogorov","id":"3D50B0BA-F248-11E8-B48F-1D18A9856A87","first_name":"Vladimir","full_name":"Kolmogorov, Vladimir"}],"year":"2019","date_created":"2020-02-09T23:00:52Z","status":"public","project":[{"grant_number":"616160","name":"Discrete Optimization in Computer Vision: Theory and Practice","call_identifier":"FP7","_id":"25FBA906-B435-11E9-9278-68D0E5697425"}],"publication_status":"published","publisher":"IEEE","date_published":"2019-06-01T00:00:00Z","isi":1,"language":[{"iso":"eng"}],"scopus_import":"1","day":"01","type":"conference","conference":{"location":"Long Beach, CA, United States","name":"CVPR: Conference on Computer Vision and Pattern Recognition","end_date":"2019-06-20","start_date":"2019-06-15"},"quality_controlled":"1","article_number":"11138-11147","citation":{"mla":"Swoboda, Paul, and Vladimir Kolmogorov. “Map Inference via Block-Coordinate Frank-Wolfe Algorithm.” <i>Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition</i>, vol. 2019–June, 11138–11147, IEEE, 2019, doi:<a href=\"https://doi.org/10.1109/CVPR.2019.01140\">10.1109/CVPR.2019.01140</a>.","ista":"Swoboda P, Kolmogorov V. 2019. Map inference via block-coordinate Frank-Wolfe algorithm. Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition. CVPR: Conference on Computer Vision and Pattern Recognition vol. 2019–June, 11138–11147.","apa":"Swoboda, P., &#38; Kolmogorov, V. (2019). Map inference via block-coordinate Frank-Wolfe algorithm. In <i>Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition</i> (Vol. 2019–June). Long Beach, CA, United States: IEEE. <a href=\"https://doi.org/10.1109/CVPR.2019.01140\">https://doi.org/10.1109/CVPR.2019.01140</a>","chicago":"Swoboda, Paul, and Vladimir Kolmogorov. “Map Inference via Block-Coordinate Frank-Wolfe Algorithm.” In <i>Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition</i>, Vol. 2019–June. IEEE, 2019. <a href=\"https://doi.org/10.1109/CVPR.2019.01140\">https://doi.org/10.1109/CVPR.2019.01140</a>.","ieee":"P. Swoboda and V. Kolmogorov, “Map inference via block-coordinate Frank-Wolfe algorithm,” in <i>Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition</i>, Long Beach, CA, United States, 2019, vol. 2019–June.","short":"P. Swoboda, V. Kolmogorov, in:, Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition, IEEE, 2019.","ama":"Swoboda P, Kolmogorov V. Map inference via block-coordinate Frank-Wolfe algorithm. In: <i>Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition</i>. Vol 2019-June. IEEE; 2019. doi:<a href=\"https://doi.org/10.1109/CVPR.2019.01140\">10.1109/CVPR.2019.01140</a>"},"main_file_link":[{"url":"https://arxiv.org/abs/1806.05049","open_access":"1"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication_identifier":{"issn":["1063-6919"],"isbn":["9781728132938"]},"doi":"10.1109/CVPR.2019.01140","oa":1,"date_updated":"2025-07-10T11:54:39Z","external_id":{"arxiv":["1806.05049"],"isi":["000542649304076"]},"volume":"2019-June","publication":"Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition","department":[{"_id":"VlKo"}],"_id":"7468","abstract":[{"text":"We present a new proximal bundle method for Maximum-A-Posteriori (MAP) inference in structured energy minimization problems. The method optimizes a Lagrangean relaxation of the original energy minimization problem using a multi plane block-coordinate Frank-Wolfe method that takes advantage of the specific structure of the Lagrangean decomposition. We show empirically that our method outperforms state-of-the-art Lagrangean decomposition based algorithms on some challenging Markov Random Field, multi-label discrete tomography and graph matching problems.","lang":"eng"}],"month":"06"},{"author":[{"last_name":"Vestner","full_name":"Vestner, Matthias","first_name":"Matthias"},{"last_name":"Litman","full_name":"Litman, Roee","first_name":"Roee"},{"last_name":"Rodola","full_name":"Rodola, Emanuele","first_name":"Emanuele"},{"orcid":"0000-0001-9699-8730","first_name":"Alexander","full_name":"Bronstein, Alexander","last_name":"Bronstein","id":"58f3726e-7cba-11ef-ad8b-e6e8cb3904e6"},{"last_name":"Cremers","full_name":"Cremers, Daniel","first_name":"Daniel"}],"year":"2017","arxiv":1,"title":"Product manifold filter: Non-rigid shape correspondence via kernel density estimation in the product space","article_processing_charge":"No","oa_version":"Preprint","publication_status":"published","publisher":"IEEE","date_created":"2024-10-09T07:49:43Z","status":"public","date_published":"2017-11-09T00:00:00Z","page":"6681 - 6690","day":"09","type":"conference","language":[{"iso":"eng"}],"scopus_import":"1","citation":{"ieee":"M. Vestner, R. Litman, E. Rodola, A. M. Bronstein, and D. Cremers, “Product manifold filter: Non-rigid shape correspondence via kernel density estimation in the product space,” in <i>2017 IEEE Conference on Computer Vision and Pattern Recognition (CVPR)</i>, Honolulu, HI, United States, 2017, pp. 6681–6690.","apa":"Vestner, M., Litman, R., Rodola, E., Bronstein, A. M., &#38; Cremers, D. (2017). Product manifold filter: Non-rigid shape correspondence via kernel density estimation in the product space. In <i>2017 IEEE Conference on Computer Vision and Pattern Recognition (CVPR)</i> (pp. 6681–6690). Honolulu, HI, United States: IEEE. <a href=\"https://doi.org/10.1109/cvpr.2017.707\">https://doi.org/10.1109/cvpr.2017.707</a>","mla":"Vestner, Matthias, et al. “Product Manifold Filter: Non-Rigid Shape Correspondence via Kernel Density Estimation in the Product Space.” <i>2017 IEEE Conference on Computer Vision and Pattern Recognition (CVPR)</i>, IEEE, 2017, pp. 6681–90, doi:<a href=\"https://doi.org/10.1109/cvpr.2017.707\">10.1109/cvpr.2017.707</a>.","ista":"Vestner M, Litman R, Rodola E, Bronstein AM, Cremers D. 2017. Product manifold filter: Non-rigid shape correspondence via kernel density estimation in the product space. 2017 IEEE Conference on Computer Vision and Pattern Recognition (CVPR). 30th IEEE Conference on Computer Vision and Pattern Recognition, 6681–6690.","chicago":"Vestner, Matthias, Roee Litman, Emanuele Rodola, Alex M. Bronstein, and Daniel Cremers. “Product Manifold Filter: Non-Rigid Shape Correspondence via Kernel Density Estimation in the Product Space.” In <i>2017 IEEE Conference on Computer Vision and Pattern Recognition (CVPR)</i>, 6681–90. IEEE, 2017. <a href=\"https://doi.org/10.1109/cvpr.2017.707\">https://doi.org/10.1109/cvpr.2017.707</a>.","ama":"Vestner M, Litman R, Rodola E, Bronstein AM, Cremers D. Product manifold filter: Non-rigid shape correspondence via kernel density estimation in the product space. In: <i>2017 IEEE Conference on Computer Vision and Pattern Recognition (CVPR)</i>. IEEE; 2017:6681-6690. doi:<a href=\"https://doi.org/10.1109/cvpr.2017.707\">10.1109/cvpr.2017.707</a>","short":"M. Vestner, R. Litman, E. Rodola, A.M. Bronstein, D. Cremers, in:, 2017 IEEE Conference on Computer Vision and Pattern Recognition (CVPR), IEEE, 2017, pp. 6681–6690."},"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.1701.00669","open_access":"1"}],"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","conference":{"start_date":"2017-07-21","name":"30th IEEE Conference on Computer Vision and Pattern Recognition","end_date":"2017-07-26","location":"Honolulu, HI, United States"},"quality_controlled":"1","doi":"10.1109/cvpr.2017.707","publication_identifier":{"issn":["1063-6919"],"isbn":["9781538604588"]},"date_updated":"2024-12-05T14:20:16Z","external_id":{"arxiv":["1701.00669"]},"extern":"1","oa":1,"_id":"18287","abstract":[{"lang":"eng","text":"Many algorithms for the computation of correspondences between deformable shapes rely on some variant of nearest neighbor matching in a descriptor space. Such are, for example, various point-wise correspondence recovery algorithms used as a post-processing stage in the functional correspondence framework. Such frequently used techniques implicitly make restrictive assumptions (e.g., nearisometry) on the considered shapes and in practice suffer from lack of accuracy and result in poor surjectivity. We propose an alternative recovery technique capable of guaranteeing a bijective correspondence and producing significantly higher accuracy and smoothness. Unlike other methods our approach does not depend on the assumption that the analyzed shapes are isometric. We derive the proposed method from the statistical framework of kernel density estimation and demonstrate its performance on several challenging deformable 3D shape matching datasets."}],"month":"11","publication":"2017 IEEE Conference on Computer Vision and Pattern Recognition (CVPR)"}]