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For any elliptical potential with an external parallel shear, Witt has proven that the gravitational center lies on a rectangular hyperbola derived from the image positions of a single quadruply lensed object. Moreover, it is predicted that…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-14 Nixon Hanna , Paul L. Schechter , Michael A. McDonald , Marceau Limousin

Geometric constructions are widely used in computer graphics and engineering drawing. A right generalized cylinder is a ruled surface whose base curve is a plane curve perpendicular to the rulings. The paper discusses relations between the…

Differential Geometry · Mathematics 2024-11-27 C. L. Dinkova , R. P. Encheva , A. A. Ali

Astrometric measurements are significantly challenged by the relative motion between the point source and the telescope, primarily due to the difficulty in accurately determining the position of the point source at the mid-exposure moment.…

Instrumentation and Methods for Astrophysics · Physics 2025-03-11 Linpeng Wu , Qingfeng Zhang , Valéry Lainey , Nick Cooper , Nicolas Rambaux , Weiheng Zhu

Fingerprints have long been recognized as a unique and reliable means of personal identification. Central to the analysis and enhancement of fingerprints is the concept of the fingerprint core. Although the location of the core is used in…

Computer Vision and Pattern Recognition · Computer Science 2025-03-05 Laurenz Ruzicka , Bernhard Strobl , Bernhard Kohn , Clemens Heitzinger

Although many advances have been made in light-field and camera-array image processing, there is still a lack of thorough analysis of the localisation accuracy of different multi-camera systems. By considering the problem from a…

Computer Vision and Pattern Recognition · Computer Science 2016-02-25 Alireza Ghasemi , Adam Scholefield , Martin Vetterli

Reducing the number of pixels in video signals while maintaining quality needed for recovering the trace of an object using Compressive Sensing is main subject of this work. Quality of frames, from video that contains moving object, are…

Computer Vision and Pattern Recognition · Computer Science 2019-03-18 Marijana Kracunov , Milica Bastica , Jovana Tesovic

We present an algorithmic and visual grouping of participants and eye-tracking metrics derived from recorded eye-tracking data. Our method utilizes two well-established visualization concepts. First, parallel coordinates are used to provide…

Human-Computer Interaction · Computer Science 2020-07-24 Ayush Kumar , Rudolf Netzel , Michael Burch , Daniel Weiskopf , Klaus Mueller

Lidar point cloud distortion from moving object is an important problem in autonomous driving, and recently becomes even more demanding with the emerging of newer lidars, which feature back-and-forth scanning patterns. Accurately estimating…

Robotics · Computer Science 2022-07-05 Wen Yang , Zheng Gong , Baifu Huang , Xiaoping Hong

The distance of closest approach of hard particles is a key parameter of their interaction and plays an important role in the resulting phase behavior. For non-spherical particles, the distance of closest approach depends on orientation,…

Mathematical Physics · Physics 2009-11-19 Xiaoyu Zheng , Peter Palffy-Muhoray

Non-Euclidean triangle centers can be described using homogeneous coordinates that are proportional to the generalized sines of the directed distances of a given center from the edges of the reference triangle. Identical homogeneous…

Metric Geometry · Mathematics 2024-06-25 Robert A. Russell

One of fundamental issues for security robots is to detect and track people in the surroundings. The main problems of this task are real-time constraints, a changing background, varying illumination conditions and a non-rigid shape of the…

Robotics · Computer Science 2015-10-27 YongChol Sin , MyongSong Choe , GyongIl Ryang

Pupil reflex to variations in illumination and associated dynamics are of importance in neurology and ophthalmology. This is typically measured using a near Infrared (IR) pupillometer to avoid Purkinje reflections that appear when strong…

Image and Video Processing · Electrical Eng. & Systems 2023-08-21 Abhijeet Phatak , Aditya Chandra Mandal , Janarthanam Jothi Balaji , Vasudevan Lakshminarayanan

We present a novel, automatic eye gaze tracking scheme inspired by smooth pursuit eye motion while playing mobile games or watching virtual reality contents. Our algorithm continuously calibrates an eye tracking system for a head mounted…

Computer Vision and Pattern Recognition · Computer Science 2016-12-22 Subarna Tripathi , Brian Guenter

This paper addresses the problem of mirror surface reconstruction, and proposes a solution based on observing the reflections of a moving reference plane on the mirror surface. Unlike previous approaches which require tedious calibration,…

Computer Vision and Pattern Recognition · Computer Science 2021-01-26 Kai Han , Miaomiao Liu , Dirk Schnieders , Kwan-Yee K. Wong

Ophthalmic surgical robots offer superior stability and precision by reducing the natural hand tremors of human surgeons, enabling delicate operations in confined surgical spaces. Despite the advancements in developing vision- and…

Robotics · Computer Science 2025-07-02 Tinghe Hong , Shenlin Cai , Boyang Li , Kai Huang

In this paper, we present an analysis of recorded eye-fixation data from human subjects viewing video sequences. The purpose is to better understand visual attention for videos. Utilizing the eye-fixation data provided in the CRCNS…

Computer Vision and Pattern Recognition · Computer Science 2019-01-31 Tariq Alshawi , Zhiling Long , Ghassan AlRegib

Motion prediction is a critical part of self-driving technology, responsible for inferring future behavior of traffic actors in autonomous vehicle's surroundings. In order to ensure safe and efficient operations, prediction models need to…

Computer Vision and Pattern Recognition · Computer Science 2021-03-29 Henggang Cui , Hoda Shajari , Sai Yalamanchi , Nemanja Djuric

Comparing mobile eye tracking data from multiple participants without information about areas of interest (AOIs) is challenging because of individual timing and coordinate systems. We present a technique, the gaze spiral, that visualizes…

Human-Computer Interaction · Computer Science 2022-04-29 Maurice Koch , Daniel Weiskopf , Kuno Kurzhals

Egocentric vision holds great promises for increasing access to visual information and improving the quality of life for people with visual impairments, with object recognition being one of the daily challenges for this population. While we…

Computer Vision and Pattern Recognition · Computer Science 2020-03-02 Kyungjun Lee , Abhinav Shrivastava , Hernisa Kacorri

The recent years have given rise to a large number of techniques for "looking around corners", i.e., for reconstructing occluded objects from time-resolved measurements of indirect light reflections off a wall. While the direct view of…

Image and Video Processing · Electrical Eng. & Systems 2023-07-19 Jonathan Klein , Martin Laurenzis , Matthias B. Hullin , Julian Iseringhausen