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We investigate the geometry of holomorphic curves and complex surfaces from the perspective of singularity theory. We show that, with a suitable choice of a complex bilinear symmetric form, the families of functions and mappings that…

Differential Geometry · Mathematics 2025-12-23 Amanda Dias Falqueto , Farid Tari

The problem of 3D object recognition is of immense practical importance, with the last decade witnessing a number of breakthroughs in the state of the art. Most of the previous work has focused on the matching of textured objects using…

Computer Vision and Pattern Recognition · Computer Science 2013-06-17 Ognjen Arandjelovic

When a three-dimensional object moves relative to an observer, a change occurs on the observer's image plane and in the visual representation computed by a learned model. Starting with the idea that a good visual representation is one that…

Machine Learning · Computer Science 2019-04-23 Taco S. Cohen , Max Welling

Eukaryote cells have a flexible shape, which dynamically changes according to the function performed by the cell. One mechanism for deforming the cell membrane into the desired shape is through the expression of curved membrane proteins.…

Biological Physics · Physics 2018-12-05 Miha Fošnarič , Samo Penič , Aleš Iglič , Veronika Kralj-Iglič , Mitja Drab , Nir Gov

This paper presents the principal challenges and opportunities associated with computational biomechanics research. The underlying cognitive control involved in the process of human motion is inherently complex, dynamic, multidimensional,…

In many image analysis problems, the contours of objects carry important statistical information about shape. Such contours are typically affected by deformation variables including scaling, translation, rotation, and reparametrization.…

Methodology · Statistics 2026-05-26 Issam-Ali Moindjié , Cédric Beaulac , Marie-Hélène Descary

Experimental data on thin films of cylinder-forming block copolymers (BC) -- free-standing BC membranes as well as supported BC films -- strongly suggest that the local orientation of the BC patterns is coupled to the geometry in which the…

Objective visual quality assessment of 3D models is a fundamental issue in computer graphics. Quality assessment metrics may allow a wide range of processes to be guided and evaluated, such as level of detail creation, compression,…

Computer Vision and Pattern Recognition · Computer Science 2021-02-09 Jinjiang Guo , Vincent Vidal , Irene Cheng , Anup Basu , Atilla Baskurt , Guillaume Lavoue

Almost contact manifolds with B-metric are considered. Of special interest are the so-called vertical classes of the almost contact B-metric manifolds. Curvature properties of these manifolds are studied. An example of 5-dimensional…

Differential Geometry · Mathematics 2012-03-27 Mancho Manev

Affect (emotion) recognition has gained significant attention from researchers in the past decade. Emotion-aware computer systems and devices have many applications ranging from interactive robots, intelligent online tutor to emotion based…

Human-Computer Interaction · Computer Science 2016-07-12 Amol Patwardhan , Gerald Knapp

Soft sensors that can discriminate shear and normal force could help provide machines the fine control desirable for safe and effective physical interactions with people. A capacitive sensor is made for this purpose, composed of patterned…

In this paper, we study integrated estimation and control of soft robots. A significant challenge in deploying closed loop controllers is reliable proprioception via integrated sensing in soft robots. Despite the considerable advances…

Robotics · Computer Science 2020-11-18 Lasitha Weerakoon , Zepeng Ye , Rahul Subramonian Bama , Elisabeth Smela , Miao Yu , Nikhil Chopra

The theory of classical types of curves in normed planes is not strongly developed. In particular, the knowledge on existing concepts of curvatures of planar curves is widespread and not systematized in the literature. Giving a…

Differential Geometry · Mathematics 2017-02-07 Vitor Balestro , Horst Martini , Emad Shonoda

The Steering Law has long been a fundamental model in predicting movement time for tasks involving navigating through constrained paths, such as in selecting sub-menu options, particularly for straight and circular arc trajectories.…

Human-Computer Interaction · Computer Science 2025-03-18 Jennie J. Y. Chen , Sidney S. Fels

Visual events in computer vision are studied from the perspective of algebraic geometry. Given a sufficiently general curve or surface in 3-space, we consider the image or contour curve that arises by projecting from a viewpoint.…

Algebraic Geometry · Mathematics 2017-11-15 Kathlén Kohn , Bernd Sturmfels , Matthew Trager

We present SCULPT, a novel 3D generative model for clothed and textured 3D meshes of humans. Specifically, we devise a deep neural network that learns to represent the geometry and appearance distribution of clothed human bodies. Training…

Computer Vision and Pattern Recognition · Computer Science 2024-05-07 Soubhik Sanyal , Partha Ghosh , Jinlong Yang , Michael J. Black , Justus Thies , Timo Bolkart

Perceiving spatial information of a virtual object (e.g, direction, distance) is critical yet challenging for blind users seeking an immersive virtual reality (VR) experience. To facilitate VR accessibility for blind users, in this paper,…

Human-Computer Interaction · Computer Science 2025-02-19 Jiasheng Li , Zining Zhang , Zeyu Yan , Yuhang Zhao , Huaishu Peng

The retinal afterimage is a widely known effect in the human visual system, which has been studied and used in the context of a number of major art movements. Therefore, when considering the general role of computation in the visual arts,…

Human-Computer Interaction · Computer Science 2025-02-14 Staas de Jong , Gerrit van der Veer

We study gravitational pivoting, a constrained version of in-hand manipulation, where we aim to control the rotation of an object around the grip point of a parallel gripper. To achieve this, instead of controlling the gripper to avoid…

Robotics · Computer Science 2022-10-12 Jason Toskov , Rhys Newbury , Mustafa Mukadam , Dana Kulić , Akansel Cosgun

Visual motion processing is essential for humans to perceive and interact with dynamic environments. Despite extensive research in cognitive neuroscience, image-computable models that can extract informative motion flow from natural scenes…

Artificial Intelligence · Computer Science 2023-11-13 Zitang Sun , Yen-Ju Chen , Yung-hao Yang , Shin'ya Nishida