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The protein folding problem must ultimately be solved on all length scales from the atomic up through a hierarchy of complicated structures. By analyzing the stability of the folding process using physics and mathematics, this paper shows…

Biological Physics · Physics 2015-05-28 Walter Simmons , Joel L. Weiner

Bone pain typically occurs immediately following skeletal damage with mechanical distortion or rupture of nociceptive fibres. The pain mechanism is also associated with chronic pain conditions where the healing process is impaired. Any load…

The purpose of this paper is to explore a new way of autonomous mapping. Current systems using perception techniques like LAZER or SONAR use probabilistic methods and have a drawback of allowing considerable uncertainty in the mapping…

Robotics · Computer Science 2013-12-16 Amiraj Dhawan , Parag Oak , Rahul Mishra , George Puthanpurackal

Cardiac parametric mapping is useful for evaluating cardiac fibrosis and edema. Parametric mapping relies on single-shot heartbeat-by-heartbeat imaging, which is susceptible to intra-shot motion during the imaging window. However, reducing…

Image and Video Processing · Electrical Eng. & Systems 2025-03-25 Calder D. Sheagren , Brenden T. Kadota , Jaykumar H. Patel , Mark Chiew , Graham A. Wright

Topological mapping of a large physical system on a graph, and its decomposition using universal measures is proposed. We find inherent limits to the potential for optimization of a given system and its approximate representations by…

Social and Information Networks · Computer Science 2015-02-10 Vladan Mlinar

Hypothesis Emerging energy-related technologies deal with multiscale hierarchical structures, intricate surface morphology, non-axisymmetric interfaces, and complex contact lines where wetting is difficult to quantify with classical…

Fluid Dynamics · Physics 2021-08-24 Chenhao Sun , James McClure , Steffen Berg , Peyman Mostaghimi , Ryan T. Armstrong

We give several versions of local and global inverse mapping theorem for tame non necessarily smooth, mappings. Here tame mapping means a mapping which is subanalytic or, more generally, definable in some o-minimal structure. Our sufficient…

Geometric Topology · Mathematics 2007-12-18 Toshizumi Fukui , Krzysztof Kurdyka , Laurentiu Paunescu

A two-dimensional tomographic problem is studied. The target is assumed to be a homogeneous object bounded by a smooth curve. A Non Uniform Rational Basis Splines (NURBS) curve is used as computational representation of the boundary. This…

Numerical Analysis · Mathematics 2017-08-08 Heikki Haario , Aki Kallonen , Marko Laine , Esa Niemi , Zenith Purisha , Samuli Siltanen

We present a novel methodology to detect imperfect bilateral symmetry in CT of human anatomy. In this paper, the structurally symmetric nature of the pelvic bone is explored and is used to provide interventional image augmentation for…

Computer Vision and Pattern Recognition · Computer Science 2020-09-29 Javad Fotouhi , Giacomo Taylor , Mathias Unberath , Alex Johnson , Sing Chun Lee , Greg Osgood , Mehran Armand , Nassir Navab

Understanding the shape and structure of objects is undoubtedly extremely important for object recognition, but the most common pattern recognition method currently used is machine learning, which often requires a large number of training…

Computer Vision and Pattern Recognition · Computer Science 2023-06-21 Wei Hui , Liping Yu , Yiran Wei

In this paper, we investigate the problem of grasping novel objects in unstructured environments. To address this problem, consideration of the object geometry, reachability and force closure analysis are required. We propose a framework…

Robotics · Computer Science 2020-04-10 Amirhossein Jabalameli , Nabil Ettehadi , Aman Behal

Surface topography refers to the geometric micro-structure of a surface and defines its tactile characteristics (typically in the sub-millimeter range). High-resolution 3D scanning techniques developed recently enable the 3D reconstruction…

Computer Vision and Pattern Recognition · Computer Science 2015-05-07 Matthias Zeppelzauer , Markus Seidl

Seismic traveltime tomography using transmission data is widely used to image the Earth's interior from global to local scales. In seismic imaging, it is used to obtain velocity models for subsequent depth-migration or full-waveform…

Computational Physics · Physics 2021-04-06 Umair bin Waheed , Tariq Alkhalifah , Ehsan Haghighat , Chao Song , Jean Virieux

In the tangent plane at any point of a surface in the four-dimensional Euclidean space we consider an invariant linear map of Weingarten-type and find a geometrically determined moving frame field. Writing derivative formulas of Frenet-type…

Differential Geometry · Mathematics 2011-05-18 Georgi Ganchev , Velichka Milousheva

We propose an ultrasound approach which provides, with one single examination and one single device, access to three bone biomarkers: anatomy, tissue quality and blood flow. It unlocks ultrasound imaging inside bone by accounting for…

Reorienting diverse objects with a multi-fingered hand is a challenging task. Current methods in robotic in-hand manipulation are either object-specific or require permanent supervision of the object state from visual sensors. This is far…

Robotics · Computer Science 2024-08-30 Johannes Pitz , Lennart Röstel , Leon Sievers , Darius Burschka , Berthold Bäuml

Disorder in magnetic materials prevents reliable control of spin textures and constrains their integration into spintronic devices. Existing methods access disorder only indirectly through external imaging probes or bulk transport…

Mesoscale and Nanoscale Physics · Physics 2026-03-03 Liam K. Mitchell , Benjamin J. Brown , Gang Xiao

In this work, we present a marker-based multi-view spine tracking method that is specifically adjusted to the requirements for movements in sports. A maximal focus is on the accurate detection of markers and fast usage of the system. For…

Computer Vision and Pattern Recognition · Computer Science 2023-06-06 Hendrik Hachmann , Bodo Rosenhahn

The main intention of the paper is to investigate an osculating curve under the conformal map. We obtain a sufficient condition for the conformal invariance of an osculating curve. We also find an equivalent system of a geodesic curve under…

General Mathematics · Mathematics 2020-03-18 Absos Ali Shaikh , Mohamd Saleem Lone , Pinaki Ranjan Ghosh

Unregistered surface meshes, especially raw 3D scans, present significant challenges for automatic computation of plausible deformations due to the lack of established point-wise correspondences and the presence of noise in the data. In…

Graphics · Computer Science 2025-09-01 Thomas Besnier , Sylvain Arguillère , Mohamed Daoudi