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Statistical shape modeling (SSM) is a powerful computational framework for quantifying and analyzing the geometric variability of anatomical structures, facilitating advancements in medical research, diagnostics, and treatment planning.…

Computer Vision and Pattern Recognition · Computer Science 2024-05-24 Krithika Iyer , Jadie Adams , Shireen Y. Elhabian

We present a new method for real-time non-rigid dense correspondence between point clouds based on structured shape construction. Our method, termed Deep Point Correspondence (DPC), requires a fraction of the training data compared to…

Computer Vision and Pattern Recognition · Computer Science 2021-12-15 Itai Lang , Dvir Ginzburg , Shai Avidan , Dan Raviv

Shape correspondence from 3D deformation learning has attracted appealing academy interests recently. Nevertheless, current deep learning based methods require the supervision of dense annotations to learn per-point translations, which…

Computer Vision and Pattern Recognition · Computer Science 2021-08-27 Ronghan Chen , Yang Cong , Jiahua Dong

We consider the problem of establishing dense correspondences within a set of related shapes of strongly varying geometry. For such input, traditional shape matching approaches often produce unsatisfactory results. We propose an ensemble…

Graphics · Computer Science 2017-10-10 Oliver Burghard , Alexander Berner , Michael Wand , Niloy Mitra , Hans-Peter Seidel , Reinhard Klein

In this paper, we propose a new unsupervised feature learning framework, namely Deep Sparse Coding (DeepSC), that extends sparse coding to a multi-layer architecture for visual object recognition tasks. The main innovation of the framework…

Machine Learning · Computer Science 2013-12-23 Yunlong He , Koray Kavukcuoglu , Yun Wang , Arthur Szlam , Yanjun Qi

In this work, we focus on the task of learning and representing dense correspondences in deformable object categories. While this problem has been considered before, solutions so far have been rather ad-hoc for specific object types (i.e.,…

Computer Vision and Pattern Recognition · Computer Science 2020-11-26 Natalia Neverova , David Novotny , Vasil Khalidov , Marc Szafraniec , Patrick Labatut , Andrea Vedaldi

We provide a methodology for learning sparse statistical models that use as features all possible multiplicative interactions among an underlying atomic set of features. While the resulting optimization problems are exponentially sized, our…

Machine Learning · Computer Science 2020-02-11 Hristo Paskov , Alex Paskov , Robert West

In this work, we introduce a deep-learning framework designed for estimating dense image correspondences. Our fully convolutional model generates dense feature maps for images, where each pixel is associated with a descriptor that can be…

Computer Vision and Pattern Recognition · Computer Science 2024-08-07 Monika Kwiatkowski , Simon Matern , Olaf Hellwich

Diffusion-based manifold learning methods have proven useful in representation learning and dimensionality reduction of modern high dimensional, high throughput, noisy datasets. Such datasets are especially present in fields like biology…

Machine Learning · Computer Science 2023-05-31 Guillaume Huguet , Alexander Tong , Edward De Brouwer , Yanlei Zhang , Guy Wolf , Ian Adelstein , Smita Krishnaswamy

The empirical success of deep convolutional networks on tasks involving high-dimensional data such as images or audio suggests that they can efficiently approximate certain functions that are well-suited for such tasks. In this paper, we…

Machine Learning · Statistics 2022-03-22 Alberto Bietti

Many contemporary statistical learning methods assume a Euclidean feature space. This paper presents a method for defining similarity based on hyperspherical geometry and shows that it often improves the performance of support vector…

Machine Learning · Statistics 2018-08-07 Chenchao Zhao , Jun S. Song

The objective of this paper is to learn dense 3D shape correspondence for topology-varying generic objects in an unsupervised manner. Conventional implicit functions estimate the occupancy of a 3D point given a shape latent code. Instead,…

Computer Vision and Pattern Recognition · Computer Science 2023-01-02 Feng Liu , Xiaoming Liu

Correspondences emerge from large-scale vision models trained for generative and discriminative tasks. This has been revealed and benchmarked by computing correspondence maps between pairs of images, using nearest neighbors on the feature…

Computer Vision and Pattern Recognition · Computer Science 2024-03-19 Xinle Cheng , Congyue Deng , Adam Harley , Yixin Zhu , Leonidas Guibas

We propose a method for the approximation of high- or even infinite-dimensional feature vectors, which play an important role in supervised learning. The goal is to reduce the size of the training data, resulting in lower storage…

Machine Learning · Statistics 2021-04-06 Patrick Gelß , Stefan Klus , Ingmar Schuster , Christof Schütte

Kernel-based non-linear dimensionality reduction methods, such as Local Linear Embedding (LLE) and Laplacian Eigenmaps, rely heavily upon pairwise distances or similarity scores, with which one can construct and study a weighted graph…

Statistics Theory · Mathematics 2019-08-06 Tingran Gao

We propose a network for semantic mapping called the Dense Dilated Convolutions Merging Network (DDCM-Net) to provide a deep learning approach that can recognize multi-scale and complex shaped objects with similar color and textures, such…

Computer Vision and Pattern Recognition · Computer Science 2019-09-02 Qinghui Liu , Michael Kampffmeyer , Robert Jenssen , Arnt-Børre Salberg

Semantic correspondence is the problem of establishing correspondences across images depicting different instances of the same object or scene class. One of recent approaches to this problem is to estimate parameters of a global…

Computer Vision and Pattern Recognition · Computer Science 2018-10-29 Paul Hongsuck Seo , Jongmin Lee , Deunsol Jung , Bohyung Han , Minsu Cho

In this abstract paper, we introduce a new kernel learning method by a nonparametric density estimator. The estimator consists of a group of k-centroids clusterings. Each clustering randomly selects data points with randomly selected…

Machine Learning · Computer Science 2017-08-02 Xiao-Lei Zhang

We propose to utilize self-supervised techniques in the 2D domain for fine-grained 3D shape segmentation tasks. This is inspired by the observation that view-based surface representations are more effective at modeling high-resolution…

Computer Vision and Pattern Recognition · Computer Science 2022-08-19 Gopal Sharma , Kangxue Yin , Subhransu Maji , Evangelos Kalogerakis , Or Litany , Sanja Fidler

We propose a novel Deformed Implicit Field (DIF) representation for modeling 3D shapes of a category and generating dense correspondences among shapes. With DIF, a 3D shape is represented by a template implicit field shared across the…

Computer Vision and Pattern Recognition · Computer Science 2021-03-30 Yu Deng , Jiaolong Yang , Xin Tong