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This paper presents a spline-based parameterisation framework for plane graphs. The plane graph is characterised by a collection of curves forming closed loops that fence-off planar faces which have to be parameterised individually. Hereby,…

Numerical Analysis · Mathematics 2024-09-02 Jochen Hinz

Message Passing Interface (MPI) is widely used to implement parallel programs. Although Windowsbased architectures provide the facilities of parallel execution and multi-threading, little attention has been focused on using MPI on these…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-05-31 Alaa Ismail Elnashar

Ray tracing is a technique for generating an image by tracing the path of light through pixels in an image plane and simulating the effects of high-quality global illumination at a heavy computational cost. Because of the high computation…

Graphics · Computer Science 2015-04-14 Yutong Qin , Jianbiao Lin , Xiang Huang

Three-dimensional (3D) reconstruction from two-dimensional images is an active research field in computer vision, with applications ranging from navigation and object tracking to segmentation and three-dimensional modeling. Traditionally,…

Computer Vision and Pattern Recognition · Computer Science 2024-09-17 Sierra Bonilla , Chiara Di Vece , Rema Daher , Xinwei Ju , Danail Stoyanov , Francisco Vasconcelos , Sophia Bano

Grayscale image colorization is a fascinating application of AI for information restoration. The inherently ill-posed nature of the problem makes it even more challenging since the outputs could be multi-modal. The learning-based methods…

Computer Vision and Pattern Recognition · Computer Science 2022-08-18 Himanshu Kumar , Abeer Banerjee , Sumeet Saurav , Sanjay Singh

Optimization problems are central to many important cross-disciplinary applications.In their conventional implementations, the sequential nature of operations imposes strict limitations on the computational efficiency. Here, we discuss how…

Disordered Systems and Neural Networks · Physics 2025-10-09 Ghazi Sarwat Syed , Philipp Schmidt , Frank Brückerhoff-Plückelmann , Jelle Dijkstra , Wolfram H. P Pernice , Abu Sebastian

We state a combinatorial optimization problem whose feasible solutions define both a decomposition and a node labeling of a given graph. This problem offers a common mathematical abstraction of seemingly unrelated computer vision tasks,…

Computer Vision and Pattern Recognition · Computer Science 2017-02-22 Evgeny Levinkov , Jonas Uhrig , Siyu Tang , Mohamed Omran , Eldar Insafutdinov , Alexander Kirillov , Carsten Rother , Thomas Brox , Bernt Schiele , Bjoern Andres

We address the problem of detecting race conditions in programs that use semaphores for synchronization. Netzer and Miller showed that it is NP-complete to detect race conditions in programs that use many semaphores. We show in this paper…

Data Structures and Algorithms · Computer Science 2007-05-23 Philip N. Klein , Hsueh-I Lu , Rob H. B. Netzer

In this work we apply commonly known methods of non-adaptive interpolation (nearest pixel, bilinear, B-spline, bicubic, Hermite spline) and sampling (point sampling, supersampling, mip-map pre-filtering, rip-map pre-filtering and FAST) to…

Computer Vision and Pattern Recognition · Computer Science 2020-09-15 Anton Trusov , Elena Limonova

The objective of this research is to construct parallel implementations of the Jacobi algorithm used for the solution of linear algebraic systems, to measure their speedup with respect to the serial case and to compare each other, regarding…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-03-27 Athanasios Margaris , Stauros Souravlas , Manos Roumeliotis

Routing and scheduling problems are fundamental problems in combinatorial optimization, and also have many applications. Most variations of these problems are NP-Hard, so we need to use heuristics to solve these problems on large instances,…

Data Structures and Algorithms · Computer Science 2015-02-20 Arindam Pal

Many parallel algorithms which solve basic problems in computer science use auxiliary space linear in the input to facilitate conflict-free computation. There has been significant work on improving these parallel algorithms to be in-place,…

Data Structures and Algorithms · Computer Science 2025-03-11 Chase Hutton , Adam Melrod

This thesis deals with the study of image processing algorithms which can be implemented by pulse-coupled neural nets. The inspiration for this choice is taken from biological image processing, which achieves with little computational…

Neurons and Cognition · Quantitative Biology 2014-12-15 Christian Mayr

Although variable-rate compressed image formats such as JPEG are widely used to efficiently encode images, they have not found their way into real-time rendering due to special requirements such as random access to individual texels. In…

Graphics · Computer Science 2025-10-13 Elias Kristmann , Markus Schütz , Michael Wimmer

Performance and energy are the two most important objectives for optimisation on modern parallel platforms. Latest research demonstrated the importance of workload distribution as a decision variable in the bi-objective optimisation for…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-07-10 Hamidreza Khaleghzadeh , Muhammad Fahad , Arsalan Shahid , Ravi Reddy Manumachu , Alexey Lastovetsky

Three aspects of applying homotopy continuation, which is commonly used to solve parameterized systems of polynomial equations, are investigated. First, for parameterized systems which are homogeneous, we investigate options for performing…

Numerical Analysis · Mathematics 2017-10-18 Jonathan D. Hauenstein , Margaret H. Regan

Cross-camera image data association is essential for many multi-camera computer vision tasks, such as multi-camera pedestrian detection, multi-camera multi-target tracking, 3D pose estimation, etc. This association task is typically stated…

Computer Vision and Pattern Recognition · Computer Science 2022-01-19 Elena Luna , Juan C. SanMiguel , José M. Martínez , Pablo Carballeira

In this work, we consider the reformulation of hierarchical ($\mathcal{H}$) matrix algorithms for many-core processors with a model implementation on graphics processing units (GPUs). $\mathcal{H}$ matrices approximate specific dense…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-04 Peter Zaspel

An important challenge for current and near-term quantum devices is finding useful tasks that can be preformed on them. We first show how to efficiently encode a bounded $n \times n$ matrix $A$ into a linear optical circuit with $2n$ modes.…

Quantum Physics · Physics 2023-08-15 Rawad Mezher , Ana Filipa Carvalho , Shane Mansfield

Optical Character Recognition (OCR) technology finds applications in digitizing books and unstructured documents, along with applications in other domains such as mobility statistics, law enforcement, traffic, security systems, etc. The…

Computer Vision and Pattern Recognition · Computer Science 2023-07-11 Aishik Rakshit , Samyak Mehta , Anirban Dasgupta