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Rotational motion blur caused by the circular motion of the camera or/and object is common in life. Identifying objects from images affected by rotational motion blur is challenging because this image degradation severely impacts image…

Computer Vision and Pattern Recognition · Computer Science 2023-03-28 Hanlin Mo , Hongxiang Hao , Guoying Zhao

Moment invariants are a powerful tool for the generation of rotation-invariant descriptors needed for many applications in pattern detection, classification, and machine learning. A set of invariants is optimal if it is complete,…

Computer Vision and Pattern Recognition · Computer Science 2025-04-04 Roxana Bujack , Emily Shinkle , Alice Allen , Tomas Suk , Nicholas Lubbers

We present spatial-Slepian transform~(SST) for the representation of signals on the sphere to support localized signal analysis. We use well-optimally concentrated Slepian functions, obtained by solving the Slepian spatial-spectral…

Signal Processing · Electrical Eng. & Systems 2021-09-01 Adeem Aslam , Zubair Khalid

In this paper, we study the problem of facial expression recognition using a novel space-time geometric representation. We describe the temporal evolution of facial landmarks as parametrized trajectories on the Riemannian manifold of…

Computer Vision and Pattern Recognition · Computer Science 2017-07-21 Anis Kacem , Mohamed Daoudi , Boulbaba Ben Amor , Juan Carlos Alvarez-Paiva

In this paper, we design two fundamental differential operators for the derivation of rotation differential invariants of images. Each differential invariant obtained by using the new method can be expressed as a homogeneous polynomial of…

Computer Vision and Pattern Recognition · Computer Science 2021-03-16 Hanlin Mo , Hua Li

Image representation is an important topic in computer vision and pattern recognition. It plays a fundamental role in a range of applications towards understanding visual contents. Moment-based image representation has been reported to be…

Computer Vision and Pattern Recognition · Computer Science 2021-11-25 Shuren Qi , Yushu Zhang , Chao Wang , Jiantao Zhou , Xiaochun Cao

Geographic data is fundamentally local. Disease outbreaks cluster in population centers, ecological patterns emerge along coastlines, and economic activity concentrates within country borders. Machine learning models that encode geographic…

Machine Learning · Computer Science 2026-02-03 Arjun Rao , Ruth Crasto , Tessa Ooms , David Rolnick , Konstantin Klemmer , Marc Rußwurm

Facial expressions are important cues to observe human emotions. Facial expression recognition has attracted many researchers for years, but it is still a challenging topic since expression features vary greatly with the head poses,…

Computer Vision and Pattern Recognition · Computer Science 2020-09-15 S. D. Lalitha , K. K. Thyagharajan

Slepian functions are orthogonal function systems that live on subdomains (for example, geographical regions on the Earth's surface, or bandlimited portions of the entire spectrum). They have been firmly established as a useful tool for the…

Numerical Analysis · Mathematics 2017-11-10 Volker Michel , Frederik J. Simons

We introduce a novel class of rotation invariants of two dimensional curves based on iterated integrals. The invariants we present are in some sense complete and we describe an algorithm to calculate them, giving explicit computations up to…

Computer Vision and Pattern Recognition · Computer Science 2013-05-30 Joscha Diehl

In this paper, we develop a new method for the fast and memory-efficient computation of Slepian functions on the sphere. Slepian functions, which arise as the solution of the Slepian concentration problem on the sphere, have desirable…

Discrete Mathematics · Computer Science 2017-09-01 Alice P. Bates , Zubair Khalid , Rodney A. Kennedy

The diversity of facial shapes and motions among persons is one of the greatest challenges for automatic analysis of facial expressions. In this paper, we propose a feature describing expression intensity over time, while being invariant to…

Computer Vision and Pattern Recognition · Computer Science 2018-05-04 Maren Awiszus , Stella Graßhof , Felix Kuhnke , Jörn Ostermann

Moment invariants are well-established and effective shape descriptors for image classification. In this report, we introduce a package for R-language, named IM, that implements the calculation of moments for images and allows the…

Computer Vision and Pattern Recognition · Computer Science 2022-11-01 Allison Irvine , Tan Dang , M. Murat Dundar , Bartek Rajwa

In this paper, we present a novel affine-invariant feature based on SIFT, leveraging the regular appearance of man-made objects. The feature achieves full affine invariance without needing to simulate over affine parameter space. Low-rank…

Computer Vision and Pattern Recognition · Computer Science 2014-08-08 Chao Yang , Shengnan Caih , Jingdong Wang , Long Quan

We introduce a rotation-invariant representation of planar shapes. In particular, this representation encodes shapes as vectors such that the Euclidean distance between them serves as a valid shape distance. For standardized, star-shaped…

Computational Geometry · Computer Science 2026-05-28 Hamid Shafieasl , Jeff M. Phillips

Image processing problems in general, and in particular in the field of single-particle cryo-electron microscopy, often require considering images up to their rotations and translations. Such problems were tackled successfully when…

Image and Video Processing · Electrical Eng. & Systems 2022-02-04 Tamir Bendory , Ido Hadi , Nir Sharon

Face alignment, which is the task of finding the locations of a set of facial landmark points in an image of a face, is useful in widespread application areas. Face alignment is particularly challenging when there are large variations in…

Computer Vision and Pattern Recognition · Computer Science 2016-10-25 Oncel Tuzel , Tim K. Marks , Salil Tambe

In this paper we start with a simple question, how is it possible that humans can recognize different movements over skin with only a prior visual experience of them? Or in general, what is the representation of spatial sequences that are…

Artificial Intelligence · Computer Science 2023-11-14 Viacheslav M. Osaulenko

Face recognition under extreme head poses is a challenging task. Ideally, a face recognition system should perform well across different head poses, which is known as pose-invariant face recognition. To achieve pose invariance, current…

Computer Vision and Pattern Recognition · Computer Science 2025-06-06 Patrik Mesec , Alan Jović

Recently, the recognition task of spontaneous facial micro-expressions has attracted much attention with its various real-world applications. Plenty of handcrafted or learned features have been employed for a variety of classifiers and…

Computer Vision and Pattern Recognition · Computer Science 2019-01-16 Zhaoqiang Xia , Xiaopeng Hong , Xingyu Gao , Xiaoyi Feng , Guoying Zhao
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