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To address the problem of 3D point matching where the poses of two point sets are unknown, we adapt a recently proposed path following based method to use similarity transformation instead of the original affine transformation. The reduced…

Computer Vision and Pattern Recognition · Computer Science 2017-01-05 Wei Lian

We introduce a new problem of retrieving 3D models that are deformable to a given query shape and present a novel deep deformation-aware embedding to solve this retrieval task. 3D model retrieval is a fundamental operation for recovering a…

Computer Vision and Pattern Recognition · Computer Science 2020-08-03 Mikaela Angelina Uy , Jingwei Huang , Minhyuk Sung , Tolga Birdal , Leonidas Guibas

Undoing the image formation process and therefore decomposing appearance into its intrinsic properties is a challenging task due to the under-constraint nature of this inverse problem. While significant progress has been made on inferring…

Computer Vision and Pattern Recognition · Computer Science 2015-11-16 Konstantinos Rematas , Tobias Ritschel , Mario Fritz , Efstratios Gavves , Tinne Tuytelaars

Shape-constrained functional data encompass a wide array of application fields, such as activity profiling, growth curves, healthcare and mortality. Most existing methods for general functional data analysis often ignore that such data are…

Methodology · Statistics 2024-08-13 Poorbita Kundu , Hans-Georg Müller

A general framework for solving image inverse problems is introduced in this paper. The approach is based on Gaussian mixture models, estimated via a computationally efficient MAP-EM algorithm. A dual mathematical interpretation of the…

Computer Vision and Pattern Recognition · Computer Science 2010-06-16 Guoshen Yu , Guillermo Sapiro , Stéphane Mallat

Template matching is a fundamental task in computer vision and has been studied for decades. It plays an essential role in manufacturing industry for estimating the poses of different parts, facilitating downstream tasks such as robotic…

Computer Vision and Pattern Recognition · Computer Science 2024-08-21 Zhirui Gao , Renjiao Yi , Zheng Qin , Yunfan Ye , Chenyang Zhu , Kai Xu

Pairwise compatibility calculation is at the core of most fragments-reconstruction algorithms, in particular those designed to solve different types of the jigsaw puzzle problem. However, most existing approaches fail, or aren't designed to…

Computer Vision and Pattern Recognition · Computer Science 2025-07-15 Ofir Itzhak Shahar , Gur Elkin , Ohad Ben-Shahar

X-ray tomographic image reconstruction consists of determining an object function from its projections. In many applications such as non-destructive testing, we look for a fault region (air) in a homogeneous, known background (metal). The…

Data Analysis, Statistics and Probability · Physics 2007-05-23 A. Mohammad-Djafari , Ken Sauer

We propose the first algorithm for non-rigid 2D-to-3D shape matching, where the input is a 2D shape represented as a planar curve and a 3D shape represented as a surface; the output is a continuous curve on the surface. We cast the problem…

Computer Vision and Pattern Recognition · Computer Science 2022-01-24 Zorah Lähner , Emanuele Rodolà , Frank R. Schmidt , Michael M. Bronstein , Daniel Cremers

Matching deformable objects using their shapes is an important problem in computer vision since shape is perhaps the most distinguishable characteristic of an object. The problem is difficult due to many factors such as intra-class…

Computer Vision and Pattern Recognition · Computer Science 2015-04-28 Smit Marvaniya , Raj Gupta , Anurag Mittal

This paper makes a first attempt to bring the Shape from Polarization (SfP) problem to the realm of deep learning. The previous state-of-the-art methods for SfP have been purely physics-based. We see value in these principled models, and…

Computer Vision and Pattern Recognition · Computer Science 2020-05-26 Yunhao Ba , Alex Ross Gilbert , Franklin Wang , Jinfa Yang , Rui Chen , Yiqin Wang , Lei Yan , Boxin Shi , Achuta Kadambi

This work introduces composed image retrieval to remote sensing. It allows to query a large image archive by image examples alternated by a textual description, enriching the descriptive power over unimodal queries, either visual or…

Computer Vision and Pattern Recognition · Computer Science 2024-07-30 Bill Psomas , Ioannis Kakogeorgiou , Nikos Efthymiadis , Giorgos Tolias , Ondrej Chum , Yannis Avrithis , Konstantinos Karantzalos

Many real world datasets subsume a linear or non-linear low-rank structure in a very low-dimensional space. Unfortunately, one often has very little or no information about the geometry of the space, resulting in a highly under-determined…

Computer Vision and Pattern Recognition · Computer Science 2016-05-27 Nauman Shahid , Nathanael Perraudin , Pierre Vandergheynst

Object reconstruction from a single image -- in the wild -- is a problem where we can make progress and get meaningful results today. This is the main message of this paper, which introduces an automated pipeline with pixels as inputs and…

Computer Vision and Pattern Recognition · Computer Science 2015-05-08 Abhishek Kar , Shubham Tulsiani , João Carreira , Jitendra Malik

Urban environments contain many imaging sensors built for specific purposes, including ATM, body-worn, CCTV, and dashboard cameras. Under the opportunistic sensing paradigm, these sensors can be repurposed for secondary inference tasks such…

Computer Vision and Pattern Recognition · Computer Science 2026-04-28 Igor Adamenko , Orpaz Ben Aharon , Yehudit Aperstein , Alexander Apartsin

We consider maps which preserve functions which are built out of the invariants of some simple vector fields. We give a reduction procedure, which can be used to derive commuting maps of the plane, which preserve the same symplectic form…

Mathematical Physics · Physics 2013-07-02 Allan P Fordy , Pavlos Kassotakis

Learning mappings between functional spaces, also known as function-on-function regression, is a fundamental problem in functional data analysis with broad applications, including spatiotemporal forecasting, curve prediction, and climate…

Machine Learning · Computer Science 2026-04-07 Matthew Lowery , Zhitong Xu , Da Long , Keyan Chen , Daniel S. Johnson , Yang Bai , Varun Shankar , Shandian Zhe

Structure from Motion (SfM) using imagery that involves extreme appearance changes is yet a challenging task due to a loss of feature repeatability. Using feature correspondences obtained by matching densely extracted convolutional neural…

Computer Vision and Pattern Recognition · Computer Science 2018-05-14 Aji Resindra Widya , Akihiko Torii , Masatoshi Okutomi

Piecewise affine functions are widely used to approximate nonlinear and discontinuous functions. However, most, if not all existing models only deal with fitting continuous functions. In this paper, we investigate the problem of fitting a…

Optimization and Control · Mathematics 2020-01-29 Ruobing Shen , Bo Tang , Leo Liberti , Claudia D'Ambrosio , Stéphane Canu

Existing 3D surface representation approaches are unable to accurately classify pixels and their orientation lying on the boundary of an object. Thus resulting in coarse representations which usually require post-processing steps to extract…

Computer Vision and Pattern Recognition · Computer Science 2019-01-23 Mateusz Michalkiewicz , Jhony K. Pontes , Dominic Jack , Mahsa Baktashmotlagh , Anders Eriksson