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In a wide variety of fields, analysis of images involves defining a region and measuring its inherent properties. Such measurements include a region's surface area, curvature, volume, average gray and/or color scale, and so on. Furthermore,…

Image and Video Processing · Electrical Eng. & Systems 2022-12-20 Timothy L. Kline

Object data analysis is concerned with statistical methodology for datasets whose elements reside in an arbitrary, unspecified metric space. In this work we propose the object shape, a novel measure of shape/symmetry for object data. The…

Statistics Theory · Mathematics 2023-12-19 Joni Virta

In most computer vision and image analysis problems, it is necessary to define a similarity measure between two or more different objects or images. Template matching is a classic and fundamental method used to score similarities between…

Computer Vision and Pattern Recognition · Computer Science 2016-10-25 Nazanin Sadat Hashemi , Roya Babaie Aghdam , Atieh Sadat Bayat Ghiasi , Parastoo Fatemi

We exploit a key result from visual psychophysics---that individuals perceive shape qualitatively---to develop the use of a geometrical/topological "invariant'' (the Morse--Smale complex) relating image structure with surface structure.…

Computer Vision and Pattern Recognition · Computer Science 2018-07-30 Benjamin S. Kunsberg , Steven W. Zucker

We propose a novel technique for producing high-quality 3D models that match a given target object image or scan. Our method is based on retrieving an existing shape from a database of 3D models and then deforming its parts to match the…

Computer Vision and Pattern Recognition · Computer Science 2021-04-14 Mikaela Angelina Uy , Vladimir G. Kim , Minhyuk Sung , Noam Aigerman , Siddhartha Chaudhuri , Leonidas Guibas

For the task of mobility analysis of 3D shapes, we propose joint analysis for simultaneous motion part segmentation and motion attribute estimation, taking a single 3D model as input. The problem is significantly different from those…

Computer Vision and Pattern Recognition · Computer Science 2019-03-13 Xiaogang Wang , Bin Zhou , Yahao Shi , Xiaowu Chen , Qinping Zhao , Kai Xu

We introduce a novel neural representation for maps between 3D shapes based on flow-matching models, which is computationally efficient and supports cross-representation shape matching without large-scale training or data-driven procedures.…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 Lorenzo Olearo , Giulio Viganò , Daniele Baieri , Filippo Maggioli , Simone Melzi

Having been studied since long by statisticians, multivariate median concepts found their way into the image processing literature in the course of the last decades, being used to construct robust and efficient denoising filters for…

Image and Video Processing · Electrical Eng. & Systems 2021-06-28 Martin Welk

Multimodal image fusion aims to combine relevant information from images acquired with different sensors. In medical imaging, fused images play an essential role in both standard and automated diagnosis. In this paper, we propose a novel…

Computer Vision and Pattern Recognition · Computer Science 2021-02-18 Farshad G. Veshki , Nora Ouzir , Sergiy A. Vorobyov , Esa Ollila

Combining images from multi-modalities is beneficial to explore various information in computer vision, especially in the medical domain. As an essential part of clinical diagnosis, multi-modal brain tumor segmentation aims to delineate the…

Computer Vision and Pattern Recognition · Computer Science 2024-03-05 Zhongzhen Huang , Linda Wei , Shaoting Zhang , Xiaofan Zhang

Medical image registration is a fundamental task in medical image analysis, aiming to establish spatial correspondences between paired images. However, existing unsupervised deformable registration methods rely solely on intensity-based…

Computer Vision and Pattern Recognition · Computer Science 2025-02-18 Hao Xu , Tengfei Xue , Jianan Fan , Dongnan Liu , Yuqian Chen , Fan Zhang , Carl-Fredrik Westin , Ron Kikinis , Lauren J. O'Donnell , Weidong Cai

Recent studies have demonstrated advantages of information fusion based on sparsity models for multimodal classification. Among several sparsity models, tree-structured sparsity provides a flexible framework for extraction of…

Computer Vision and Pattern Recognition · Computer Science 2015-02-04 Soheil Bahrampour , Asok Ray , Nasser M. Nasrabadi , Kenneth W. Jenkins

An end-to-end trainable ConvNet architecture, that learns to harness the power of shape representation for matching disparate image pairs, is proposed. Disparate image pairs are deemed those that exhibit strong affine variations in scale,…

Computer Vision and Pattern Recognition · Computer Science 2018-11-27 Shefali Srivastava , Abhimanyu Chopra , Arun CS Kumar , Suchendra M. Bhandarkar , Deepak Sharma

Estimating mutual information (MI) is a fundamental task in data science and machine learning. Existing estimators mainly rely on either highly flexible models (e.g., neural networks), which require large amounts of data, or overly…

Machine Learning · Computer Science 2025-10-27 Yanzhi Chen , Zijing Ou , Adrian Weller , Michael U. Gutmann

In many image analysis problems, the contours of objects carry important statistical information about shape. Such contours are typically affected by deformation variables including scaling, translation, rotation, and reparametrization.…

Methodology · Statistics 2026-05-26 Issam-Ali Moindjié , Cédric Beaulac , Marie-Hélène Descary

A fundamental problem in computer vision is boundary estimation, where the goal is to delineate the boundary of objects in an image. In this paper, we propose a method which jointly incorporates geometric and topological information within…

Image and Video Processing · Electrical Eng. & Systems 2022-06-06 Hengrui Luo , Justin Strait

We present neural radiance fields (NeRF) with templates, dubbed Template-NeRF, for modeling appearance and geometry and generating dense shape correspondences simultaneously among objects of the same category from only multi-view posed…

Computer Vision and Pattern Recognition · Computer Science 2021-11-09 Jianfei Guo , Zhiyuan Yang , Xi Lin , Qingfu Zhang

We present a deep learning method that propagates point-wise feature representations across shapes within a collection for the purpose of 3D shape segmentation. We propose a cross-shape attention mechanism to enable interactions between a…

Computer Vision and Pattern Recognition · Computer Science 2023-07-06 Marios Loizou , Siddhant Garg , Dmitry Petrov , Melinos Averkiou , Evangelos Kalogerakis

Statistical Shape Modeling (SSM) is a quantitative method for analyzing morphological variations in anatomical structures. These analyses often necessitate building models on targeted anatomical regions of interest to focus on specific…

Computer Vision and Pattern Recognition · Computer Science 2024-01-02 Hong Xu , Alan Morris , Shireen Y. Elhabian

The figure-ground segmentation of humans in images captured in natural environments is an outstanding open problem due to the presence of complex backgrounds, articulation, varying body proportions, partial views and viewpoint changes. In…

Computer Vision and Pattern Recognition · Computer Science 2015-01-28 Alin-Ionut Popa , Cristian Sminchisescu