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Due to the abundance of 2D product images from the Internet, developing efficient and scalable algorithms to recover the missing depth information is central to many applications. Recent works have addressed the single-view depth estimation…

Computer Vision and Pattern Recognition · Computer Science 2016-06-13 Guilin Liu , Chao Yang , Zimo Li , Duygu Ceylan , Qixing Huang

The generalized divided differences are introduced. They are applied to investigate some properties characterizing generalized higher-order convexity. Among others some support-type property is proved.

Functional Analysis · Mathematics 2008-07-28 Szymon Wasowicz

Data depth is a concept in multivariate statistics that measures the centrality of a point in a given data cloud in $\IR^d$. If the depth of a point can be represented as the minimum of the depths with respect to all one-dimensional…

Computation · Statistics 2020-07-17 Rainer Dyckerhoff , Pavlo Mozharovskyi , Stanislav Nagy

Hyperspectral image unmixing has proven to be a useful technique to interpret hyperspectral data, and is a prolific research topic in the community. Most of the approaches used to perform linear unmixing are based on convex geometry…

Image and Video Processing · Electrical Eng. & Systems 2020-04-22 Lucas Drumetz , Jocelyn Chanussot , Christian Jutten , Wing-Kin Ma , Akira Iwasaki

We present a neural-based model for relighting a half-body portrait image by simply referring to another portrait image with the desired lighting condition. Rather than following classical inverse rendering methodology that involves…

Graphics · Computer Science 2021-06-28 Guoxian Song , Tat-Jen Cham , Jianfei Cai , Jianmin Zheng

We introduce the vertex index, vein(K), of a given centrally symmetric convex body K, which, in a sense, measures how well K can be inscribed into a convex polytope with small number of vertices. This index is closely connected to the…

Metric Geometry · Mathematics 2011-10-20 Karoly Bezdek , Alexander E. Litvak

We present a method for estimating lighting from a single perspective image of an indoor scene. Previous methods for predicting indoor illumination usually focus on either simple, parametric lighting that lack realism, or on richer…

Computer Vision and Pattern Recognition · Computer Science 2022-11-11 Henrique Weber , Mathieu Garon , Jean-François Lalonde

Self-supervised monocular depth estimation serves as a key task in the development of endoscopic navigation systems. However, performance degradation persists due to uneven illumination inherent in endoscopic images, particularly in…

Computer Vision and Pattern Recognition · Computer Science 2025-11-26 Mingyang Ou , Haojin Li , Yifeng Zhang , Ke Niu , Zhongxi Qiu , Heng Li , Jiang Liu

We introduce notions of concavity for functions on balanced polyhedral spaces, and we show that concave functions on such spaces satisfy several strong continuity properties.

Combinatorics · Mathematics 2021-09-14 Ana María Botero , José Ignacio Burgos Gil , Martín Sombra

Blur is an image degradation that is difficult to remove. Invariants with respect to blur offer an alternative way of a~description and recognition of blurred images without any deblurring. In this paper, we present an original unified…

Computer Vision and Pattern Recognition · Computer Science 2023-08-03 Jan Flusser , Matej Lebl , Matteo Pedone , Filip Sroubek , Jitka Kostkova

Multi-illuminant color constancy methods aim to eliminate local color casts within an image through pixel-wise illuminant estimation. Existing methods mainly employ deep learning to establish a direct mapping between an image and its…

Computer Vision and Pattern Recognition · Computer Science 2026-03-02 Hang Luo , Rongwei Li , Jinxing Liang

It is suggested that low-light image enhancement realizes one-to-many mapping since we have different definitions of NORMAL-light given application scenarios or users' aesthetic. However, most existing methods ignore subjectivity of the…

Computer Vision and Pattern Recognition · Computer Science 2021-01-05 Ya'nan Wang , Zhuqing Jiang , Chang Liu , Kai Li , Aidong Men , Haiying Wang

In digital imaging, enhancing visual content in poorly lit environments is a significant challenge, as images often suffer from inadequate brightness, hidden details, and an overall reduction in quality. This issue is especially critical in…

Computer Vision and Pattern Recognition · Computer Science 2023-12-27 Farzaneh Koohestani , Nader Karimi , Shadrokh Samavi

A subset of the d-dimensional Euclidean space having nonempty interior is called a spindle convex body if it is the intersection of (finitely or infinitely many) congruent d-dimensional closed balls. The spindle convex body is called a…

Metric Geometry · Mathematics 2013-02-13 Karoly Bezdek

The convex hull of a ball with an exterior point is called a spike (or cap). A union of finitely many spikes of a ball is called a spiky ball. If a spiky ball is convex, then we call it a cap body. In this note we upper bound the…

Metric Geometry · Mathematics 2022-12-16 Károly Bezdek , Ilya Ivanov , Cameron Strachan

A variational model for learning convolutional image atoms from corrupted and/or incomplete data is introduced and analyzed both in function space and numerically. Building on lifting and relaxation strategies, the proposed approach is…

Optimization and Control · Mathematics 2018-12-10 Antonin Chambolle , Martin Holler Thomas Pock

The simplicial depth, like other relevant multivariate statistical data depth functions, vanishes right outside the convex hull of the support of the distribution with respect to which the depth is computed. This is problematic when it is…

Statistics Theory · Mathematics 2024-01-15 Giacomo Francisci , Alicia Nieto-Reyes , Claudio Agostinelli

Ptychography involves a sample being illuminated by a coherent, localised probe of illumination. When the probe interacts with the sample, the light is diffracted and a diffraction pattern is detected. Then the probe or sample is shifted…

Numerical Analysis · Mathematics 2023-05-09 Mark Philip Roach

More than half of the volume of our Universe is occupied by cosmic voids. The lensing magnification effect from those under-dense regions is generally thought to give a small dimming contribution: objects on the far side of a void are…

Cosmology and Nongalactic Astrophysics · Physics 2013-01-18 Krzysztof Bolejko , Chris Clarkson , Roy Maartens , David Bacon , Nikolai Meures , Emma Beynon

We introduce f-divergence, a concept from information theory and statistics, for convex bodies in R^n. We prove that f-divergences are SL(n) invariant valuations and we establish an affine isoperimetric inequality for these quantities. We…

Functional Analysis · Mathematics 2012-05-16 Elisabeth M. Werner
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