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Maps are arguably one of the most fundamental concepts used to define and operate on manifold surfaces in differentiable geometry. Accordingly, in geometry processing, maps are ubiquitous and are used in many core applications, such as…

计算机视觉与模式识别 · 计算机科学 2021-04-01 Luca Morreale , Noam Aigerman , Vladimir Kim , Niloy J. Mitra

Perception research provides strong evidence in favor of part based representation of shapes in human visual system. Despite considerable differences among different theories in terms of how part boundaries are found, there is substantial…

计算机视觉与模式识别 · 计算机科学 2011-04-13 Sibel Tari

Inspired by humans' ability to perceive the surface texture of unfamiliar objects without relying on vision, the sense of touch can play a crucial role in robots exploring the environment, particularly in scenes where vision is difficult to…

机器人学 · 计算机科学 2023-01-23 Junyuan Lu , Zeyu Wan , Yu Zhang

Inspired by the seminal result that a graph and an associated rotation system uniquely determine the topology of a closed manifold, we propose a combinatorial method for reconstruction of surfaces from points. Our method constructs a…

计算几何 · 计算机科学 2025-05-28 Ruiqi Cui , Emil Toftegaard Gæde , Eva Rotenberg , Leif Kobbelt , J. Andreas Bærentzen

We develop a new optimisation technique that combines multiresolution subdivision surfaces for boundary description with immersed finite elements for the discretisation of the primal and adjoint problems of optimisation. Similar to wavelets…

数值分析 · 数学 2016-01-20 Kosala Bandara , Thomas Rüberg , Fehmi Cirak

Diffusion magnetic resonance imaging offers unique in vivo sensitivity to tissue microstructure in brain white matter, which undergoes significant changes during development and is compromised in virtually every neurological disorder. Yet,…

In Minimally Invasive Surgery (MIS), tissue scanning with imaging probes is required for subsurface visualisation to characterise the state of the tissue. However, scanning of large tissue surfaces in the presence of deformation is a…

机器人学 · 计算机科学 2021-01-12 Jian Zhan , Joao Cartucho , Stamatia Giannarou

Direct comparison is made of the steady-sates and coarsening dynamics in a local system and its nonlocal generalization. The example system is the surface of a solid film in a strong electric field; the morphological evolution of the…

斑图形成与孤子 · 物理学 2015-02-24 Mikhail Khenner

Hand modeling is critical for immersive VR/AR, action understanding, or human healthcare. Existing parametric models account only for hand shape, pose, or texture, without modeling the anatomical attributes like bone, which is essential for…

计算机视觉与模式识别 · 计算机科学 2021-06-22 Yuwei Li , Minye Wu , Yuyao Zhang , Lan Xu , Jingyi Yu

Active soft bodies can affect their shape through an internal actuation mechanism that induces a deformation. Similar to recent work, this paper utilizes a differentiable, quasi-static, and physics-based simulation layer to optimize for…

计算机视觉与模式识别 · 计算机科学 2024-01-29 Lingchen Yang , Byungsoo Kim , Gaspard Zoss , Baran Gözcü , Markus Gross , Barbara Solenthaler

X-ray computed tomography is a powerful tool for volumetric imaging, where three-dimensional (3D) images are generated from a large number of individual X-ray projection images. Collecting the required number of low noise projection images…

图像与视频处理 · 电气工程与系统科学 2025-04-30 Zhenduo Shang , Thomas Blumensath

Accurate surface geometry representation is crucial in 3D visual computing. Explicit representations, such as polygonal meshes, and implicit representations, like signed distance functions, each have distinct advantages, making efficient…

图形学 · 计算机科学 2025-09-26 Christian Stippel , Felix Mujkanovic , Thomas Leimkühler , Pedro Hermosilla

Osteoporosis can be identified by looking at 2D x-ray images of the bone. The high degree of similarity between images of a healthy bone and a diseased one makes classification a challenge. A good bone texture characterization technique is…

计算机视觉与模式识别 · 计算机科学 2017-07-19 Rahul Paul , Saeed Alahamri , Sulav Malla , Ghulam Jilani Quadri

Implicit neural representations have emerged as a powerful tool in learning 3D geometry, offering unparalleled advantages over conventional representations like mesh-based methods. A common type of INR implicitly encodes a shape's boundary…

计算机视觉与模式识别 · 计算机科学 2024-10-17 Shen Fan , Przemyslaw Musialski

For the shape control of deformable free-form surfaces, simulation plays a crucial role in establishing the mapping between the actuation parameters and the deformed shapes. The differentiation of this forward kinematic mapping is usually…

机器人学 · 计算机科学 2024-05-16 Yingjun Tian , Guoxin Fang , Renbo Su , Weiming Wang , Simeon Gill , Andrew Weightman , Charlie C. L. Wang

We present a framework to take new measurements in nematic systems that contain active elements such as molecular motors. Spatio-temporal fields of stress, traction, velocity, pressure, and forces are estimated jointly from microscopy…

软凝聚态物质 · 物理学 2024-12-02 Aleix Boquet-Pujadas , Jérôme Hardouïn , Junhao Wen , Jordi Ignés-Mullol , Francesc Sagués

This paper introduces a new mathematical and numerical framework for surface analysis derived from the general setting of elastic Riemannian metrics on shape spaces. Traditionally, those metrics are defined over the infinite dimensional…

计算机视觉与模式识别 · 计算机科学 2023-11-09 Emmanuel Hartman , Emery Pierson , Martin Bauer , Mohamed Daoudi , Nicolas Charon

The last several years have seen significant progress in using depth cameras for tracking articulated objects such as human bodies, hands, and robotic manipulators. Most approaches focus on tracking skeletal parameters of a fixed shape…

计算机视觉与模式识别 · 计算机科学 2017-11-23 Aaron Walsman , Weilin Wan , Tanner Schmidt , Dieter Fox

Although the preservation of shape continuity and physiological anatomy is a natural assumption in the segmentation of medical images, it is often neglected by deep learning methods that mostly aim for the statistical modeling of input data…

计算机视觉与模式识别 · 计算机科学 2023-05-01 Yousef Yeganeh , Azade Farshad , Goktug Guevercin , Amr Abu-zer , Rui Xiao , Yongjian Tang , Ehsan Adeli , Nassir Navab

The geometrically defined wide class of time-like surfaces in $\mathbb R^3$, admitting real asymptotic lines is considered. A fundamental theorem of Bonnet-type is obtained for these surfaces. It states that a surface in this class is…

微分几何 · 数学 2026-05-26 Ognian Kassabov