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A Riemannian geometry of noncommutative n-dimensional surfaces is developed as a first step towards the construction of a consistent noncommutative gravitational theory. Historically, as well, Riemannian geometry was recognized to be the…

高能物理 - 理论 · 物理学 2008-11-26 M. Chaichian , A. Tureanu , R. B. Zhang , X. Zhang

Here shape space is either the manifold of simple closed smooth unparameterized curves in $\mathbb R^2$ or is the orbifold of immersions from $S^1$ to $\mathbb R^2$ modulo the group of diffeomorphisms of $S^1$. We investige several…

微分几何 · 数学 2009-10-01 Peter W. Michor , David Mumford

Shape optimization based on the shape calculus is numerically mostly performed by means of steepest descent methods. This paper provides a novel framework to analyze shape-Newton optimization methods by exploiting a Riemannian perspective.…

最优化与控制 · 数学 2014-05-14 Volker Schulz

Whole-body pose and shape estimation aims to jointly predict different behaviors (e.g., pose, hand gesture, facial expression) of the entire human body from a monocular image. Existing methods often exhibit degraded performance under the…

计算机视觉与模式识别 · 计算机科学 2023-12-15 Hui EnPang , Zhongang Cai , Lei Yang , Qingyi Tao , Zhonghua Wu , Tianwei Zhang , Ziwei Liu

Consideration of physical dimensions of the user population is essential to design adapted environment. This variability in body dimensions (called "anthropometry") is involved in design tools commonly used today to assess user's…

其他定量生物学 · 定量生物学 2016-06-14 Mathieu Delangle , Émilie Poirson , Jean François Petiot

In this paper, we propose a pose grammar to tackle the problem of 3D human pose estimation. Our model directly takes 2D pose as input and learns a generalized 2D-3D mapping function. The proposed model consists of a base network which…

计算机视觉与模式识别 · 计算机科学 2018-01-08 Haoshu Fang , Yuanlu Xu , Wenguan Wang , Xiaobai Liu , Song-Chun Zhu

Estimating 3D humans from images often produces implausible bodies that lean, float, or penetrate the floor. Such methods ignore the fact that bodies are typically supported by the scene. A physics engine can be used to enforce physical…

计算机视觉与模式识别 · 计算机科学 2023-07-25 Shashank Tripathi , Lea Müller , Chun-Hao P. Huang , Omid Taheri , Michael J. Black , Dimitrios Tzionas

In the elastic shape analysis approach to shape matching and object classification, plane curves are represented as points in an infinite-dimensional Riemannian manifold, wherein shape dissimilarity is measured by geodesic distance. A…

微分几何 · 数学 2018-07-11 Tom Needham

Recent advances in consumer depth sensors have created many opportunities for human body measurement and modeling. Estimation of 3D body shape is particularly useful for fashion e-commerce applications such as virtual try-on or fit…

计算机视觉与模式识别 · 计算机科学 2014-11-20 Qiaosong Wang , Vignesh Jagadeesh , Bryan Ressler , Robinson Piramuthu

There has been significant progress in machine learning algorithms for human pose estimation that may provide immense value in rehabilitation and movement sciences. However, there remain several challenges to routine use of these tools for…

计算机视觉与模式识别 · 计算机科学 2022-03-17 R. James Cotton

Various tasks in scientific computing can be modeled as an optimization problem on the indefinite Stiefel manifold. We address this using the Riemannian approach, which basically consists of equipping the feasible set with a Riemannian…

最优化与控制 · 数学 2026-04-17 Dinh Van Tiep , Duong Thi Viet An , Nguyen Thi Ngoc Oanh , Nguyen Thanh Son

Accurately predicting the 3D human posture and the pressure exerted on the body for people resting in bed, visualized as a body mesh (3D pose & shape) with a 3D pressure map, holds significant promise for healthcare applications,…

计算机视觉与模式识别 · 计算机科学 2024-04-05 Abhishek Tandon , Anujraaj Goyal , Henry M. Clever , Zackory Erickson

For robots to work alongside humans and perform in unstructured environments, they must learn new motion skills and adapt them to unseen situations on the fly. This demands learning models that capture relevant motion patterns, while…

机器人学 · 计算机科学 2021-07-02 Hadi Beik-Mohammadi , Søren Hauberg , Georgios Arvanitidis , Gerhard Neumann , Leonel Rozo

We propose a novel sparse constrained formulation and from it derive a real-time optimization method for 3D human pose and shape estimation. Our optimization method, SCOPE (Sparse Constrained Optimization for 3D human Pose and shapE…

计算机视觉与模式识别 · 计算机科学 2021-10-05 Taosha Fan , Kalyan Vasudev Alwala , Donglai Xiang , Weipeng Xu , Todd Murphey , Mustafa Mukadam

3D human body shape and pose estimation from RGB images is a challenging problem with potential applications in augmented/virtual reality, healthcare and fitness technology and virtual retail. Recent solutions have focused on three types of…

计算机视觉与模式识别 · 计算机科学 2024-01-31 Darshan Venkatrayappa , Alain Tremeau , Damien Muselet , Philippe Colantoni

In this paper, we address the problem of estimating a 3D human pose from a single image, which is important but difficult to solve due to many reasons, such as self-occlusions, wild appearance changes, and inherent ambiguities of 3D…

计算机视觉与模式识别 · 计算机科学 2019-10-08 Geonho Cha , Minsik Lee , Jungchan Cho , Songhwai Oh

The recent success of deep networks has significantly advanced 3D human pose estimation from 2D images. The diversity of capturing viewpoints and the flexibility of the human poses, however, remain some significant challenges. In this…

计算机视觉与模式识别 · 计算机科学 2019-01-31 Guoqiang Wei , Cuiling Lan , Wenjun Zeng , Zhibo Chen

We review classical approaches to the problem of isometrically embedding a Riemannian surface into Euclidean 3-space, including coordinate-based approaches exposited by Darboux and Eisenhart, as well as the moving-frames based approaches…

微分几何 · 数学 2019-03-12 Thomas A. Ivey

In many robot motion planning problems, task objectives and physical constraints induce non-Euclidean geometry on the configuration space, yet many planners operate using Euclidean distances that ignore this structure. We address the…

机器人学 · 计算机科学 2026-05-15 Phone Thiha Kyaw , Jonathan Kelly

In this paper, we address the problem of learning 3D human pose and body shape from 2D image dataset, without having to use 3D dataset (body shape and pose). The idea is to use dense correspondences between image points and a body surface,…

计算机视觉与模式识别 · 计算机科学 2019-07-30 Yusuke Yoshiyasu , Lucas Gamez