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We have derived an analytical formulation for estimating the volume of geometries enclosed by implicitly defined surfaces. The novelty of this work is due to two aspects. First we provide a general analytical formulation for all…

Numerical Analysis · Mathematics 2019-05-01 Shucheng Pan , Xiangyu Hu , Nikolaus. A. Adams

The rapid advances in 3D scanning and acquisition techniques have given rise to the explosive increase of volumetric digital models in recent years. This dissertation systematically trailblazes a novel volumetric modeling framework to…

Graphics · Computer Science 2013-08-06 Bo Li

Our previous works have demonstrated that visually realistic 3D meshes can be automatically reconstructed with low-cost, off-the-shelf unmanned aerial systems (UAS) equipped with capable cameras, and efficient photogrammetric software…

Computer Vision and Pattern Recognition · Computer Science 2020-08-11 Meida Chen , Andrew Feng , Kyle McCullough , Pratusha Bhuvana Prasad , Ryan McAlinden , Lucio Soibelman , Mike Enloe

A novel and highly efficient computational framework for reconstructing binary-type images suitable for models of various complexity seen in diverse biomedical applications is developed and validated. Efficiency in computational speed and…

Optimization and Control · Mathematics 2024-02-09 Paul R. Arbic , Vladislav Bukshtynov

We propose three fast algorithms for solving the inverse problem of the thermoacoustic tomography corresponding to certain acquisition geometries. Two of these methods are designed to process the measurements done with point-like detectors…

Analysis of PDEs · Mathematics 2011-02-08 Leonid Kunyansky

Mainstream deep models for three-dimensional MRI synthesis are either cross-sectional or volumetric depending on the input. Cross-sectional models can decrease the model complexity, but they may lead to discontinuity artifacts. On the other…

Image and Video Processing · Electrical Eng. & Systems 2021-01-14 Muzaffer Özbey , Mahmut Yurt , Salman Ul Hassan Dar , Tolga Çukur

Reconstructed 3D ultrasound volume provides more context information compared to a sequence of 2D scanning frames, which is desirable for various clinical applications such as ultrasound-guided prostate biopsy. Nevertheless, 3D volume…

Computer Vision and Pattern Recognition · Computer Science 2020-11-18 Hengtao Guo , Sheng Xu , Bradford J. Wood , Pingkun Yan

Due to its capability to identify erroneous disparity assignments in dense stereo matching, confidence estimation is beneficial for a wide range of applications, e.g. autonomous driving, which needs a high degree of confidence as mandatory…

Computer Vision and Pattern Recognition · Computer Science 2019-11-06 Max Mehltretter , Christian Heipke

Automatic methods for measuring normalized regional brain volumes from MRI data are a key tool to help in the objective diagnostic and follow-up of many neurological diseases. To estimate such regional brain volumes, the intracranial cavity…

Measuring tree morphology for phenotyping is an essential but labor-intensive activity in horticulture. Researchers often rely on manual measurements which may not be accurate for example when measuring tree volume. Recent approaches on…

Robotics · Computer Science 2018-04-18 Wenbo Dong , Volkan Isler

The recent development of high-performance computing enables us to generate spatio-temporal high-resolution data of nonlinear dynamical systems and to analyze them for a deeper understanding of their complex nature. This trend can be found…

Fluid Dynamics · Physics 2024-03-25 Mitsuaki Matsuo , Kai Fukami , Taichi Nakamura , Masaki Morimoto , Koji Fukagata

Plants frequently contain numerous organs, organized in 3D branching systems defining the plant's architecture. Reconstructing the architecture of plants from unstructured observations is challenging because of self-occlusion and spatial…

Computer Vision and Pattern Recognition · Computer Science 2026-04-02 Samara Ghrer , Christophe Godin , Stefanie Wuhrer

Mobile robots that navigate in unknown environments need to be constantly aware of the dynamic objects in their surroundings for mapping, localization, and planning. It is key to reason about moving objects in the current observation and at…

Although shape correspondence is a central problem in geometry processing, most methods for this task apply only to two-dimensional surfaces. The neglected task of volumetric correspondence--a natural extension relevant to shapes extracted…

Graphics · Computer Science 2022-11-29 S. Mazdak Abulnaga , Oded Stein , Polina Golland , Justin Solomon

Two-dimensional (2D) freehand ultrasonography is one of the most commonly used medical imaging modalities, particularly in obstetrics and gynaecology. However, it only captures 2D cross-sectional views of inherently 3D anatomies, losing…

Image and Video Processing · Electrical Eng. & Systems 2024-04-17 Mark C. Eid , Pak-Hei Yeung , Madeleine K. Wyburd , João F. Henriques , Ana I. L. Namburete

Boltzmann samplers and the recursive method are prominent algorithmic frameworks for the approximate-size and exact-size random generation of large combinatorial structures, such as maps, tilings, RNA sequences or various tree-like…

Combinatorics · Mathematics 2017-10-31 Maciej Bendkowski , Olivier Bodini , Sergey Dovgal

Intraoperative ultrasound imaging provides real-time guidance during numerous surgical procedures, but its interpretation is complicated by noise, artifacts, and poor alignment with high-resolution preoperative MRI/CT scans. To bridge the…

Computer Vision and Pattern Recognition · Computer Science 2025-08-12 Noe Bertramo , Gabriel Duguey , Vivek Gopalakrishnan

Incrementally recovering 3D dense structures from monocular videos is of paramount importance since it enables various robotics and AR applications. Feature volumes have recently been shown to enable efficient and accurate incremental dense…

Computer Vision and Pattern Recognition · Computer Science 2023-05-25 Xingxing Zuo , Nan Yang , Nathaniel Merrill , Binbin Xu , Stefan Leutenegger

Reconstruction of an object from points cloud is essential in prosthetics, medical imaging, computer vision, etc. We present an effective algorithm for an Allen--Cahn-type model of reconstruction, employing the Lagrange multiplier approach.…

Numerical Analysis · Mathematics 2025-11-04 Renjun Gao , Xiangjie Kong , Dongting Cai , Boyi Fu , Junxiang Yang

Based on the characterization of the polyconvex envelope of isotropic functions by their signed singular value representations, we propose a simple algorithm for the numerical approximation of the polyconvex envelope. Instead of operating…

Numerical Analysis · Mathematics 2023-07-31 Timo Neumeier , Malte A. Peter , Daniel Peterseim , David Wiedemann
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