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We introduce a novel numerical framework for the exploration of Blaschke--Santal\'o diagrams, which are efficient tools characterizing the possible inequalities relating some given shape functionals. We introduce a parametrization of convex…

Optimization and Control · Mathematics 2026-05-15 Eloi Martinet , Ilias Ftouhi

We study rotation-robust learning for image inputs using Convolutional Model Trees (CMTs) [1], whose split and leaf coefficients can be structured on the image grid and transformed geometrically at deployment time. In a controlled MNIST…

Computer Vision and Pattern Recognition · Computer Science 2026-01-09 Hongyi Li , William Ward Armstrong , Jun Xu

We propose and analyze a constrained level-set method for semi-automatic image segmentation. Our level-set model with constraints on the level-set function enables us to specify which parts of the image lie inside respectively outside the…

Numerical Analysis · Mathematics 2014-12-11 Vladimír Klement , Tomáš Oberhuber , Daniel Ševčovič

We propose and analyze a constrained level-set method for semi-automatic image segmentation. Our level-set model with constraints on the level-set function enables us to specify which parts of the image lie inside respectively outside the…

Numerical Analysis · Mathematics 2015-01-07 Vladimír Klement , Tomáš Oberhuber , Daniel Ševčovič

This paper presents a new adversarial training framework for image inpainting with segmentation confusion adversarial training (SCAT) and contrastive learning. SCAT plays an adversarial game between an inpainting generator and a…

Computer Vision and Pattern Recognition · Computer Science 2023-08-17 Zhiwen Zuo , Lei Zhao , Ailin Li , Zhizhong Wang , Zhanjie Zhang , Jiafu Chen , Wei Xing , Dongming Lu

A framework for online robust adaptive radiation therapy (ART) is presented. This framework is designed to (i) handle interfractional geometric variations following a probability distribution different from the a priori hypothesis, (ii)…

Medical Physics · Physics 2020-09-09 Michelle Böck

Conventional active learning (AL) frameworks aim to reduce the cost of data annotation by actively requesting the labeling for the most informative data points. However, introducing AL to data hungry deep learning algorithms has been a…

Computer Vision and Pattern Recognition · Computer Science 2022-10-13 Salman Mohamadi , Gianfranco Doretto , Donald A. Adjeroh

In point cloud compression, exploiting temporal redundancy for inter predictive coding is challenging because of the irregular geometry. This paper proposes an efficient block-based inter-coding scheme for color attribute compression. The…

Computer Vision and Pattern Recognition · Computer Science 2022-10-31 Haoran Hong , Eduardo Pavez , Antonio Ortega , Ryosuke Watanabe , Keisuke Nonaka

Rotation-invariant recognition of shapes is a common challenge in computer vision. Recent approaches have significantly improved the accuracy of rotation-invariant recognition by encoding the rotational invariance of shapes as hand-crafted…

Computer Vision and Pattern Recognition · Computer Science 2025-03-17 Yanjie Xu , Handing Xu , Tianmu Wang , Yaguan Li , Yunzhi Chen , Zhenguo Nie

Contour integrals of rational functions over ${\cal M}_{0,n}$, the moduli space of $n$-punctured spheres, have recently appeared at the core of the tree-level S-matrix of massless particles in arbitrary dimensions. The contour is determined…

High Energy Physics - Theory · Physics 2016-05-25 Freddy Cachazo , Humberto Gomez

Image resolution that has close relations with accuracy and computational cost plays a pivotal role in network training. In this paper, we observe that the reduced image retains relatively complete shape semantics but loses extensive…

Computer Vision and Pattern Recognition · Computer Science 2022-05-26 Tianshu Xie , Xuan Cheng , Minghui Liu , Jiali Deng , Xiaomin Wang , Ming Liu

This paper presents a novel attention-based neural network for structured reconstruction, which takes a 2D raster image as an input and reconstructs a planar graph depicting an underlying geometric structure. The approach detects corners…

Computer Vision and Pattern Recognition · Computer Science 2022-06-22 Jiacheng Chen , Yiming Qian , Yasutaka Furukawa

Foundational vision transformer models have shown impressive few shot performance on many vision tasks. This research presents a novel investigation into the application of parameter efficient fine-tuning methods within an active learning…

Computer Vision and Pattern Recognition · Computer Science 2024-06-17 Athmanarayanan Lakshmi Narayanan , Ranganath Krishnan , Amrutha Machireddy , Mahesh Subedar

Finding a template in a search image is an important task underlying many computer vision applications. Recent approaches perform template matching in a deep feature-space, produced by a convolutional neural network (CNN), which is found to…

Computer Vision and Pattern Recognition · Computer Science 2021-05-10 Bo Gao , M. W. Spratling

Normalized cross-correlation is the reference approach to carry out template matching on images. When it is computed in Fourier space, it can handle efficiently template translations but it cannot do so with template rotations. Including…

Computer Vision and Pattern Recognition · Computer Science 2024-07-17 José María Almira , Harold Phelippeau , Antonio Martinez-Sanchez

Curvature has received increased attention as an important alternative to length based regularization in computer vision. In contrast to length, it preserves elongated structures and fine details. Existing approaches are either inefficient,…

Computer Vision and Pattern Recognition · Computer Science 2014-04-17 Claudia Nieuwenhuis , Eno Toeppe , Lena Gorelick , Olga Veksler , Yuri Boykov

Tomography is a central tool in medical applications, allowing doctors to investigate patients' interior features. The Radon transform (in two dimensions) is commonly used to model the measurement process in parallel-beam CT. Suitable…

Numerical Analysis · Mathematics 2026-02-27 Richard Huber

We transpose an optimal control technique to the image segmentation problem. The idea is to consider image segmentation as a parameter estimation problem. The parameter to estimate is the color of the pixels of the image. We use the…

Numerical Analysis · Mathematics 2011-05-24 Hend Ben Ameur , Guy Chavent , Francois Clément , Pierre Weis

We propose a new variational model for joint image reconstruction and motion estimation in spatiotemporal imaging, which is investigated along a general framework that we present with shape theory. This model consists of two components, one…

Numerical Analysis · Mathematics 2019-11-06 Chong Chen , Barbara Gris , Ozan Öktem

Sampling and quantization are standard practices in signal and image processing, but a theoretical understanding of their impact is incomplete. We consider discrete image registration when the underlying function is a one-dimensional…

Computer Vision and Pattern Recognition · Computer Science 2024-10-28 Serap A. Savari