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In this note, we find a sharp bound for the minimal number (or in general, indexing set) of subspaces of a fixed (finite) codimension needed to cover any vector space V over any field. If V is a finite set, this is related to the problem of…

Commutative Algebra · Mathematics 2015-02-02 Apoorva Khare

Local feature matching is challenging due to textureless and repetitive patterns. Existing methods focus on using appearance features and global interaction and matching, while the importance of geometry priors in local feature matching has…

Computer Vision and Pattern Recognition · Computer Science 2023-04-14 Jiahao Chang , Jiahuan Yu , Tianzhu Zhang

Convexity prior is one of the main cue for human vision and shape completion with important applications in image processing, computer vision. This paper focuses on characterization methods for convex objects and applications in image…

Computer Vision and Pattern Recognition · Computer Science 2022-10-05 Shousheng Luo , Jinfeng Chen , Yunhai Xiao , Xue-Cheng Tai

We consider the online search problem in which a server starting at the origin of a $d$-dimensional Euclidean space has to find an arbitrary hyperplane. The best-possible competitive ratio and the length of the shortest curve from which…

Computational Geometry · Computer Science 2021-09-10 Antonios Antoniadis , Ruben Hoeksma , Sándor Kisfaludi-Bak , Kevin Schewior

The feature maps of vision encoders are fundamental to myriad modern AI tasks, ranging from core perception algorithms (e.g. semantic segmentation, object detection, depth perception, etc.) to modern multimodal understanding in…

Computer Vision and Pattern Recognition · Computer Science 2025-07-04 Mike Ranzinger , Greg Heinrich , Pavlo Molchanov , Jan Kautz , Bryan Catanzaro , Andrew Tao

This paper proposes a multi-view extension of instance segmentation without relying on texture or shape descriptor matching. Multi-view instance segmentation becomes challenging for scenes with repetitive textures and shapes, e.g., plant…

Computer Vision and Pattern Recognition · Computer Science 2020-11-30 Takuma Doi , Fumio Okura , Toshiki Nagahara , Yasuyuki Matsushita , Yasushi Yagi

Metric search is concerned with the efficient evaluation of queries in metric spaces. In general,a large space of objects is arranged in such a way that, when a further object is presented as a query, those objects most similar to the query…

Information Retrieval · Computer Science 2017-10-24 Richard Connor , Lucia Vadicamo , Franco Alberto Cardillo , Fausto Rabitti

In a color X-ray camera, spatial resolution is achieved by means of a polycapillary optic conducting X-ray photons from small regions on a sample to distinct energy dispersive pixels on a CCD matrix. At present, the resolution limit of…

This paper explores the potential of brain-computer interfaces in segmenting objects from images. Our approach is centered around designing an effective method for displaying the image parts to the users such that they generate measurable…

Computer Vision and Pattern Recognition · Computer Science 2014-08-20 Eva Mohedano , Graham Healy , Kevin McGuinness , Xavier Giro-i-Nieto , Noel E. O'Connor , Alan F. Smeaton

It is shown that the diffeomorphism type of the complement to a real space line arrangement in any dimensional affine ambient space is determined only by the number of lines and the data on multiple points.

Geometric Topology · Mathematics 2020-10-07 Goo Ishikawa , Motoki Oyama

Straight lines are common features in human made environments, which makes them a frequently explored feature for control applications. Many control schemes, like Visual Servoing, require the 3D parameters of the features to be estimated.…

Robotics · Computer Science 2019-03-22 André Mateus , Omar Tahri , Pedro Miraldo

In this paper we consider planar sections and visual contours of co-dimension one affine immersions. The main theorem says that the third order Taylor expansion of the difference between the visual contour and planar section functions is…

Differential Geometry · Mathematics 2010-12-10 Marcos Craizer

In this position paper, we consider the state of computer vision research with respect to invariance to the horizontal orientation of an image -- what we term reflection invariance. We describe why we consider reflection invariance to be an…

Computer Vision and Pattern Recognition · Computer Science 2015-06-09 Craig Henderson , Ebroul Izquierdo

We tackle the problem of automatically reconstructing a complete 3D model of a scene from a single RGB image. This challenging task requires inferring the shape of both visible and occluded surfaces. Our approach utilizes viewer-centered,…

Computer Vision and Pattern Recognition · Computer Science 2019-08-28 Daeyun Shin , Zhile Ren , Erik B. Sudderth , Charless C. Fowlkes

Detecting poorly textured objects and estimating their 3D pose reliably is still a very challenging problem. We introduce a simple but powerful approach to computing descriptors for object views that efficiently capture both the object…

Computer Vision and Pattern Recognition · Computer Science 2017-11-15 Paul Wohlhart , Vincent Lepetit

Given a pair of partially overlapping source and target images and a keypoint in the source image, the keypoint's correspondent in the target image can be either visible, occluded or outside the field of view. Local feature matching methods…

Computer Vision and Pattern Recognition · Computer Science 2022-02-03 Hugo Germain , Vincent Lepetit , Guillaume Bourmaud

It is challenging for humans to enable visual knowledge discovery in data with more than 2-3 dimensions with a naked eye. This chapter explores the efficiency of discovering predictive machine learning models interactively using new…

Machine Learning · Computer Science 2021-07-13 Rose McDonald , Boris Kovalerchuk

Glass surfaces of transparent objects and mirrors are not able to be uniquely and explicitly characterized by their visual appearances because they contain the visual appearance of other reflected or transmitted surfaces as well. Detecting…

Computer Vision and Pattern Recognition · Computer Science 2024-03-05 Dongshen Han , Seungkyu Lee , Chaoning Zhang , Heechan Yoon , Hyukmin Kwon , Hyun-Cheol Kim , Hyon-Gon Choo

The deficiency of segmentation labels is one of the main obstacles to semantic segmentation in the wild. To alleviate this issue, we present a novel framework that generates segmentation labels of images given their image-level class…

Computer Vision and Pattern Recognition · Computer Science 2018-04-10 Jiwoon Ahn , Suha Kwak

The practical applications of chiral discrimination are usually limited by the weak chiral response of enantiomers and the high complexity of detection methods. Here, we propose to use the C lines (i.e., lines of polarization singularities)…

Optics · Physics 2022-03-22 Shiqi Jia , Jie Peng , Yuqiong Cheng , Shubo Wang