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Fluid flow in rough fractures and the coupling with the mechanical behaviour of the fractures pose great difficulties for numerical modeling approaches, due to complex fracture surface topographies, the non-linearity of hydromechanical…

Computational Physics · Physics 2020-03-17 Cyrill von Planta , Daniel Vogler , Xiaoqing Chen , Maria G. C. Nestola , Martin O. Saar , Rolf Krause

In interactive instance segmentation, users give feedback to iteratively refine segmentation masks. The user-provided clicks are transformed into guidance maps which provide the network with necessary cues on the whereabouts of the object…

Computer Vision and Pattern Recognition · Computer Science 2018-12-10 Soumajit Majumder , Angela Yao

We consider a construction of recurrent fractal interpolation surfaces with function vertical scaling factors and estimation of their box-counting dimension. A recurrent fractal interpolation surface (RFIS) is an attractor of a recurrent…

Dynamical Systems · Mathematics 2013-07-12 Chol-Hui Yun , Hui-Chol Choi , Hyong-Chol O

A method to construct fractal surfaces by recurrent fractal curves is provided. First we construct fractal interpolation curves using a recurrent iterated functions system(RIFS) with function scaling factors and estimate their box-counting…

Dynamical Systems · Mathematics 2014-08-13 Chol-hui Yun , Hyong-chol O. , Hui-chol Choi

I discuss the nature of a Fractional Discrete Fourier Transform (FrDFT) described algorithmically by a combination of chirp transforms and ordinary DFTs. The transform is shown to be consistent with a continuous two-dimensional rotation…

General Mathematics · Mathematics 2019-10-01 Evan Zayas

Fractal TRIDYN (F-TRIDYN) is a modified version of the widely used Monte Carlo, Binary Collision Approximation code TRIDYN that includes an explicit model of surface roughness and additional output modes for coupling to plasma edge and…

Computational Physics · Physics 2018-03-14 Jon Drobny , Davide Curreli , Alyssa Hayes , David N. Ruzic

Local feature extraction is a standard approach in computer vision for tackling important tasks such as image matching and retrieval. The core assumption of most methods is that images undergo affine transformations, disregarding more…

Computer Vision and Pattern Recognition · Computer Science 2023-04-04 Guilherme Potje , Felipe Cadar , Andre Araujo , Renato Martins , Erickson R. Nascimento

Planning trajectories for nonholonomic systems is difficult and computationally expensive. When facing unexpected events, it may therefore be preferable to deform in some way the initially planned trajectory rather than to re-plan entirely…

Robotics · Computer Science 2011-05-31 Quang-Cuong Pham

Fractals offer the ability to generate fascinating geometric shapes with all sorts of unique characteristics (for instance, fractal geometry provides a basis for modelling infinite detail found in nature). While fractals are non-euclidean…

Computational Geometry · Computer Science 2023-03-28 Ben Kenwright

For bone segmentation, the classical geodesic active contour model is usually limited by its indiscriminate feature extraction, and then struggles to handle the phenomena of edge obstruction, edge leakage and bone fracture. Thus, we propose…

Computer Vision and Pattern Recognition · Computer Science 2026-01-13 Liheng Wang , Licheng Zhang , Hailin Xu , Jingxin Zhao , Xiuyun Su , Jiantao Li , Miutian Tang , Weilu Gao , Chong Chen

The permutation associated with the decimal expression of the binary reflected Gray code with $N$ bits is considered. Its cycle structure is studied. Considered as a set of points, its self-similarity is pointed out. As a fractal, it is…

Chaotic Dynamics · Physics 2007-05-23 J. A. Oteo , J. Ros

Increasingly there is a need to develop astronomical visualisation and manipulations tools which allow viewers to interact with displayed data directly, in real time and across a range of platforms. In addition, increases in dynamic range…

Instrumentation and Methods for Astrophysics · Physics 2016-01-05 P. Mohan , C. Hawkins , R. Klapaukh , M. Johnston-Hollitt

Real-time tool segmentation is an essential component in computer-assisted surgical systems. We propose a novel real-time automatic method based on Fully Convolutional Networks (FCN) and optical flow tracking. Our method exploits the…

The graph Fourier transform (GFT) is an important tool for graph signal processing, with applications ranging from graph-based image processing to spectral clustering. However, unlike the discrete Fourier transform, the GFT typically does…

Signal Processing · Electrical Eng. & Systems 2019-10-02 Keng-Shih Lu , Antonio Ortega

Fractal interpolation functions (FIFs) generated using iterated function systems (IFS) provide a powerful framework for modeling self-similar and irregular data, yet traditional constructions often neglect geometric fidelity such as…

Numerical Analysis · Mathematics 2026-02-03 K R Tyada

The foundation of the theory presented here has already been proved to be effective for the case of curves belonging to the Koch family. The present paper extends the investigation to more complex curves, namely randomly generated curves…

Metric Geometry · Mathematics 2014-08-12 Luiz Bevilacqua , Marcelo Miranda Barros , Gil Márcio A. Silva

In the presence of dynamic insertions and deletions into a partially reconfigurable FPGA, fragmentation is unavoidable. This poses the challenge of developing efficient approaches to dynamic defragmentation and reallocation. One key aspect…

Data Structures and Algorithms · Computer Science 2017-02-27 Sándor P. Fekete , Jan-Marc Reinhardt , Christian Scheffer

Local Fourier analysis is a commonly used tool to assess the quality and aid in the construction of geometric multigrid methods for translationally invariant operators. In this paper we automate the process of local Fourier analysis and…

Numerical Analysis · Mathematics 2019-07-26 Karsten Kahl , Nils Kintscher

Multi-slice magnetic resonance images of the fetal brain are usually contaminated by severe and arbitrary fetal and maternal motion. Hence, stable and robust motion correction is necessary to reconstruct high-resolution 3D fetal brain…

Image and Video Processing · Electrical Eng. & Systems 2022-09-23 Wen Shi , Haoan Xu , Cong Sun , Jiwei Sun , Yamin Li , Xinyi Xu , Tianshu Zheng , Yi Zhang , Guangbin Wang , Dan Wu

We want to enable fine manipulation with a multi-fingered robotic hand by using modern deep reinforcement learning methods. Key for fine manipulation is a spatially resolved tactile sensor. Here, we present a novel model of a tactile skin…

Robotics · Computer Science 2024-09-20 Ulf Kasolowsky , Berthold Bäuml