Differential Geometry in Computer Vision and Machine Learning


SrvfNet: A Generative Network for Unsupervised Multiple Diffeomorphic Functional Alignment
Elvis Nunez,
Andrew Lizarraga,
Shantanu H. Joshi
[pdf]
[bibtex]
@InProceedings{Nunez_2021_CVPR, author = {Nunez, Elvis and Lizarraga, Andrew and Joshi, Shantanu H.}, title = {SrvfNet: A Generative Network for Unsupervised Multiple Diffeomorphic Functional Alignment}, booktitle = {Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR) Workshops}, month = {June}, year = {2021}, pages = {4481-4489} }

Uniting Stereo and Depth-From-Defocus: A Thin Lens-Based Variational Framework for Multiview Reconstruction
Robert D. Friedlander,
Huizong Yang,
Anthony J. Yezzi
[pdf]
[bibtex]
@InProceedings{Friedlander_2021_CVPR, author = {Friedlander, Robert D. and Yang, Huizong and Yezzi, Anthony J.}, title = {Uniting Stereo and Depth-From-Defocus: A Thin Lens-Based Variational Framework for Multiview Reconstruction}, booktitle = {Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR) Workshops}, month = {June}, year = {2021}, pages = {4406-4415} }

Deep Spherical Manifold Gaussian Kernel for Unsupervised Domain Adaptation
Youshan Zhang,
Brian D. Davison
[pdf] [arXiv]
[bibtex]
@InProceedings{Zhang_2021_CVPR, author = {Zhang, Youshan and Davison, Brian D.}, title = {Deep Spherical Manifold Gaussian Kernel for Unsupervised Domain Adaptation}, booktitle = {Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR) Workshops}, month = {June}, year = {2021}, pages = {4443-4452} }

Geometric Empirical Bayesian Model for Classification of Functional Data Under Diverse Sampling Regimes
James Matuk,
Karthik Bharath,
Oksana Chkrebtii,
Sebastian Kurtek
[pdf]
[bibtex]
@InProceedings{Matuk_2021_CVPR, author = {Matuk, James and Bharath, Karthik and Chkrebtii, Oksana and Kurtek, Sebastian}, title = {Geometric Empirical Bayesian Model for Classification of Functional Data Under Diverse Sampling Regimes}, booktitle = {Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR) Workshops}, month = {June}, year = {2021}, pages = {4434-4442} }

GILDA++: Grassmann Incremental Linear Discriminant Analysis
Navya Nagananda,
Andreas Savakis
[pdf]
[bibtex]
@InProceedings{Nagananda_2021_CVPR, author = {Nagananda, Navya and Savakis, Andreas}, title = {GILDA++: Grassmann Incremental Linear Discriminant Analysis}, booktitle = {Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR) Workshops}, month = {June}, year = {2021}, pages = {4453-4461} }

Multi Scale Diffeomorphic Metric Mapping of Spatial Transcriptomics Datasets
Michael I. Miller,
Jean Fan,
Daniel J. Tward
[pdf]
[bibtex]
@InProceedings{Miller_2021_CVPR, author = {Miller, Michael I. and Fan, Jean and Tward, Daniel J.}, title = {Multi Scale Diffeomorphic Metric Mapping of Spatial Transcriptomics Datasets}, booktitle = {Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR) Workshops}, month = {June}, year = {2021}, pages = {4472-4480} }

Learning Low Bending and Low Distortion Manifold Embeddings
Juliane Braunsmann,
Marko Rajkovic,
Martin Rumpf,
Benedikt Wirth
[pdf] [arXiv]
[bibtex]
@InProceedings{Braunsmann_2021_CVPR, author = {Braunsmann, Juliane and Rajkovic, Marko and Rumpf, Martin and Wirth, Benedikt}, title = {Learning Low Bending and Low Distortion Manifold Embeddings}, booktitle = {Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR) Workshops}, month = {June}, year = {2021}, pages = {4416-4424} }

SrvfRegNet: Elastic Function Registration Using Deep Neural Networks
Chao Chen,
Anuj Srivastava
[pdf]
[bibtex]
@InProceedings{Chen_2021_CVPR, author = {Chen, Chao and Srivastava, Anuj}, title = {SrvfRegNet: Elastic Function Registration Using Deep Neural Networks}, booktitle = {Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR) Workshops}, month = {June}, year = {2021}, pages = {4462-4471} }

Supervised Deep Learning of Elastic SRV Distances on the Shape Space of Curves
Emmanuel Hartman,
Yashil Sukurdeep,
Nicolas Charon,
Eric Klassen,
Martin Bauer
[pdf] [arXiv]
[bibtex]
@InProceedings{Hartman_2021_CVPR, author = {Hartman, Emmanuel and Sukurdeep, Yashil and Charon, Nicolas and Klassen, Eric and Bauer, Martin}, title = {Supervised Deep Learning of Elastic SRV Distances on the Shape Space of Curves}, booktitle = {Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR) Workshops}, month = {June}, year = {2021}, pages = {4425-4433} }

A Sheaf and Topology Approach to Detecting Local Merging Relations in Digital Images
Chuan-Shen Hu,
Yu-Min Chung
[pdf]
[bibtex]
@InProceedings{Hu_2021_CVPR, author = {Hu, Chuan-Shen and Chung, Yu-Min}, title = {A Sheaf and Topology Approach to Detecting Local Merging Relations in Digital Images}, booktitle = {Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR) Workshops}, month = {June}, year = {2021}, pages = {4396-4405} }