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This paper proposes to generalize linear subdivision schemes to nonlinear subdivision schemes for curve and surface modeling by refining vertex positions together with refinement of unit control normals at the vertices. For each round of…

Numerical Analysis · Mathematics 2023-05-15 Xunnian Yang

We introduce the isoperimetric loss as a regularization criterion for learning the map from a visual representation to a semantic embedding, to be used to transfer knowledge to unknown classes in a zero-shot learning setting. We use a…

Machine Learning · Computer Science 2019-12-05 Shay Deutsch , Andrea Bertozzi , Stefano Soatto

We propose an extension of a special form of gradient descent -- in the literature known as linearised Bregman iteration -- to a larger class of non-convex functions. We replace the classical (squared) two norm metric in the gradient…

Optimization and Control · Mathematics 2021-05-26 Martin Benning , Marta M. Betcke , Matthias J. Ehrhardt , Carola-Bibiane Schönlieb

We propose a novel iterative method to adapt a a graph to d-dimensional image data. The method drives the nodes of the graph towards image features. The adaptation process naturally lends itself to a measure of feature saliency which can…

Computer Vision and Pattern Recognition · Computer Science 2019-09-06 Alberto Gomez , Veronika A. Zimmer , Bishesh Khanal , Nicolas Toussaint , Julia A. Schnabel

Layer normalization (LayerNorm) is a technique to normalize the distributions of intermediate layers. It enables smoother gradients, faster training, and better generalization accuracy. However, it is still unclear where the effectiveness…

Machine Learning · Computer Science 2019-11-19 Jingjing Xu , Xu Sun , Zhiyuan Zhang , Guangxiang Zhao , Junyang Lin

Generalizing knowledge to unseen domains, where data and labels are unavailable, is crucial for machine learning models. We tackle the domain generalization problem to learn from multiple source domains and generalize to a target domain…

Computer Vision and Pattern Recognition · Computer Science 2022-04-06 Fan Zhou , Zhuqing Jiang , Changjian Shui , Boyu Wang , Brahim Chaib-draa

This paper proposes a novel algorithm for the problem of structural image segmentation through an interactive model-based approach. Interaction is expressed in the model creation, which is done according to user traces drawn over a given…

Computer Vision and Pattern Recognition · Computer Science 2008-05-16 Alexandre Noma , Ana B. V. Graciano , Luis Augusto Consularo , Roberto M. Cesar-Jr , Isabelle Bloch

The widespread use of vector graphics creates a significant demand for vectorization methods. While recent learning-based techniques have shown their capability to create vector images of clear topology, filling these primitives with…

Computer Vision and Pattern Recognition · Computer Science 2024-08-29 Hengyu Zhou , Hui Zhang , Bin Wang

We present a rectangle-based segmentation algorithm that sets up a graph and performs a graph cut to separate an object from the background. However, graph-based algorithms distribute the graph's nodes uniformly and equidistantly on the…

Computer Vision and Pattern Recognition · Computer Science 2012-03-14 Jan Egger , Tina Kapur , Thomas Dukatz , Malgorzata Kolodziej , Dzenan Zukic , Bernd Freisleben , Christopher Nimsky

Recent neural networks based surface reconstruction can be roughly divided into two categories, one warping templates explicitly and the other representing 3D surfaces implicitly. To enjoy the advantages of both, we propose a novel 3D…

Computer Vision and Pattern Recognition · Computer Science 2023-09-06 Xianghui Yang , Guosheng Lin , Zhenghao Chen , Luping Zhou

The problem of finding a time-dependent vector field which warps an initial set of points to a target set is common in shape analysis. It is an example of a problem in the diffeomorphic shape matching regime, and can be thought of as a…

Optimization and Control · Mathematics 2025-08-12 Erik Jansson , Klas Modin

The performance of supervised deep learning methods for medical image segmentation is often limited by the scarcity of labeled data. As a promising research direction, semi-supervised learning addresses this dilemma by leveraging unlabeled…

Image and Video Processing · Electrical Eng. & Systems 2024-05-13 Zihang Liu , Chunhui Zhao

This paper proposes a novel method which combines both median filter and simple standard deviation to accomplish an excellent edge detector for image processing. First of all, a denoising process must be applied on the grey scale image…

Computer Vision and Pattern Recognition · Computer Science 2013-04-24 Firas A. Jassim

We study the implicit bias of generic optimization methods, such as mirror descent, natural gradient descent, and steepest descent with respect to different potentials and norms, when optimizing underdetermined linear regression or…

Machine Learning · Statistics 2020-06-24 Suriya Gunasekar , Jason Lee , Daniel Soudry , Nathan Srebro

The evolution of semantic segmentation has long been dominated by learning more discriminative image representations for classifying each pixel. Despite the prominent advancements, the priors of segmentation masks themselves, e.g.,…

Computer Vision and Pattern Recognition · Computer Science 2023-06-23 Zeqiang Lai , Yuchen Duan , Jifeng Dai , Ziheng Li , Ying Fu , Hongsheng Li , Yu Qiao , Wenhai Wang

We present a novel methodology that combines graph and dense segmentation techniques by jointly learning both point and pixel contour representations, thereby leveraging the benefits of each approach. This addresses deficiencies in typical…

Computer Vision and Pattern Recognition · Computer Science 2024-02-20 Kit Mills Bransby , Greg Slabaugh , Christos Bourantas , Qianni Zhang

The main objective of this work is to describe a general and original approach for computing an off-line solution for a set of parameters describing the geometry of the domain. That is, a solution able to include information for different…

Numerical Analysis · Mathematics 2019-09-26 Ruben Sevilla , Sergio Zlotnik , Antonio Huerta

Inverse problems generally require a regularizer or prior for a good solution. A recent trend is to train a convolutional net to denoise images, and use this net as a prior when solving the inverse problem. Several proposals depend on a…

Computer Vision and Pattern Recognition · Computer Science 2023-07-12 Kyle Luther , H. Sebastian Seung

Denoising, the process of reducing random fluctuations in a signal to emphasize essential patterns, has been a fundamental problem of interest since the dawn of modern scientific inquiry. Recent denoising techniques, particularly in…

Machine Learning · Computer Science 2024-12-04 Peyman Milanfar , Mauricio Delbracio

Semantic boundary and edge detection aims at simultaneously detecting object edge pixels in images and assigning class labels to them. Systematic training of predictors for this task requires the labeling of edges in images which is a…

Computer Vision and Pattern Recognition · Computer Science 2017-06-27 Jing Yu Koh , Wojciech Samek , Klaus-Robert Müller , Alexander Binder
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