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Muscle-based systems have the potential to provide both anatomical accuracy and semantic interpretability as compared to blendshape models; however, a lack of expressivity and differentiability has limited their impact. Thus, we propose…

Computer Vision and Pattern Recognition · Computer Science 2018-12-10 Michael Bao , Matthew Cong , Stéphane Grabli , Ronald Fedkiw

Multiscale shape skeletonization on pixel adjacency graphs is an advanced intriguing research subject in the field of image processing, computer vision and data mining. The previous works in this area almost focused on the graph vertices.…

Computer Vision and Pattern Recognition · Computer Science 2020-09-18 Hossein Memarzadeh Sharifipour , Bardia Yousefi , Xavier P. V. Maldague

A comprehensive framework for detection and characterization of overlapping intrinsic symmetry over 3D shapes is proposed. To identify prominent symmetric regions which overlap in space and vary in form, the proposed framework is decoupled…

Graphics · Computer Science 2013-10-01 Anirban Mukhopadhyay , Suchendra M. Bhandarkar , Fatih Porikli

Deep learning-based medical image segmentation and surface mesh generation typically involve a sequential pipeline from image to segmentation to meshes, often requiring large training datasets while making limited use of prior geometric…

Quantitative computed tomography (QCT) is a widely used tool for osteoporosis diagnosis and monitoring. The assessment of cortical markers like cortical bone mineral density (BMD) and thickness is a demanding task, mainly because of the…

Image and Video Processing · Electrical Eng. & Systems 2019-02-18 Stefan Reinhold. Timo Damm , Lukas Huber , Reimer Andresen , Reinhard Barkmann , Claus-C. Glüer , Reinhard Koch

Bones are always wrapped by soft tissues. As a result, bones in their X-ray images are obscured and become unclear. In this paper, we tackle this problem and propose a novel task to virtually decompose the soft tissue and bone by image…

Image and Video Processing · Electrical Eng. & Systems 2020-07-30 Yuanhao Gong

Efficient and fast reconstruction of anatomical structures plays a crucial role in clinical practice. Minimizing retrieval and processing times not only potentially enhances swift response and decision-making in critical scenarios but also…

We consider a special class of spacelike surfaces in the Minkowski 4-space which are one-parameter systems of meridians of the rotational hypersurface with timelike or spacelike axis. We call these surfaces meridian surfaces of elliptic or…

Differential Geometry · Mathematics 2016-07-15 Georgi Ganchev , Velichka Milousheva

Coordinated cellular movements are key processes in tissue morphogenesis. Using a cell-based modeling approach we study the dynamics of epithelial layers lining surfaces with constant and varying curvature. We demonstrate that extrinsic…

Soft Condensed Matter · Physics 2024-03-21 Lea Happel , Axel Voigt

Vascular networks play a crucial role in understanding brain functionalities. Brain integrity and function, neuronal activity and plasticity, which are crucial for learning, are actively modulated by their local environments, specifically…

Neurons and Cognition · Quantitative Biology 2024-02-28 Jiachen Yao , Nina Hagemann , Qiaojie Xiong , Jianxu Chen , Dirk M. Hermann , Chao Chen

Many natural shapes have most of their characterizing features concentrated over a few regions in space. For example, humans and animals have distinctive head shapes, while inorganic objects like chairs and airplanes are made of…

Computer Vision and Pattern Recognition · Computer Science 2022-06-27 Marco Pegoraro , Simone Melzi , Umberto Castellani , Riccardo Marin , Emanuele Rodolà

The investigation of spatio-temporal dynamics of bacterial cells and their molecular components requires automated image analysis tools to track cell shape properties and molecular component locations inside the cells. In the study of…

Computer Vision and Pattern Recognition · Computer Science 2016-12-23 Jean-Pascal Jacob , Mariella Dimiccoli , Lionel Moisan

The large scale structure (LSS) of the universe is generated by the linear density gaussian modes, which are evolved into the observed nonlinear LSS. The posterior surface of the modes is convex in the linear regime, leading to a unique…

Cosmology and Nongalactic Astrophysics · Physics 2018-08-08 Yu Feng , Uros Seljak , Matias Zaldarriaga

We derive a fully covariant theory of the mechanics of active surfaces. This theory provides a framework for the study of active biological or chemical processes at surfaces, such as the cell cortex, the mechanics of epithelial tissues, or…

Biological Physics · Physics 2017-09-13 Guillaume Salbreux , Frank Jülicher

We introduce surface Minkowski tensors to characterize rotational symmetries of shapes embedded in curved surfaces. The definition is based on a modified vector transport of the shapes boundary co-normal into a reference point which…

Numerical Analysis · Mathematics 2026-02-10 Lea Happel , Hanne Hardering , Simon Praetorius , Axel Voigt

A novel surface correction method is proposed for bond based peridynamics which ensures energy consistency with a classical reference body for general affine deformations. This method is validated for simple geometries and then applied to a…

Computational Engineering, Finance, and Science · Computer Science 2022-09-02 Jonas Ritter , Shucheta Shegufta , Paul Steinmann , Michael Zaiser

A knotted surface in the 4-sphere may be described by means of a hyperbolic diagram that captures the 0-section of a special Morse function, called a hyperbolic decomposition. We show that every hyperbolic decomposition of a knotted surface…

Geometric Topology · Mathematics 2023-02-01 Eva Horvat

Tomographic imaging reveals internal structures of 3D objects and is crucial for medical diagnoses. Visualizing the morphology and appearance of non-planar sparse anatomical structures that extend over multiple 2D slices in tomographic…

Computer Vision and Pattern Recognition · Computer Science 2024-11-28 Leonhard Rist , Pluvio Stephan , Noah Maul , Linda Vorberg , Hendrik Ditt , Michael Sühling , Andreas Maier , Bernhard Egger , Oliver Taubmann

We present a matrix-based algorithm for deciding if the parametrization of a curve or a surface is invertible or not, and for computing the inverse of the parametrization if it exists.

Commutative Algebra · Mathematics 2007-05-23 Carlos D'Andrea , Laurent Buse

Deep learning-based 3-dimensional (3D) shape reconstruction from 2-dimensional (2D) magnetic resonance imaging (MRI) has become increasingly important in medical disease diagnosis, treatment planning, and computational modeling. This review…

Machine Learning · Computer Science 2025-10-03 Emma McMillian , Abhirup Banerjee , Alfonso Bueno-Orovio