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We propose a deep learning strategy to estimate the mean curvature of two-dimensional implicit interfaces in the level-set method. Our approach is based on fitting feed-forward neural networks to synthetic data sets constructed from…

Numerical Analysis · Mathematics 2022-09-29 Luis Ángel Larios-Cárdenas , Frederic Gibou

We propose a new method for smoothly interpolating probability measures using the geometry of optimal transport. To that end, we reduce this problem to the classical Euclidean setting, allowing us to directly leverage the extensive toolbox…

The Forward-Forward (FF) algorithm was recently proposed as a local learning method to address the limitations of backpropagation (BP), offering biological plausibility along with memory-efficient and highly parallelized computational…

Neural and Evolutionary Computing · Computer Science 2024-08-28 Yujie Wu , Siyuan Xu , Jibin Wu , Lei Deng , Mingkun Xu , Qinghao Wen , Guoqi Li

Visual object tracking remains an active research field in computer vision due to persisting challenges with various problem-specific factors in real-world scenes. Many existing tracking methods based on discriminative correlation filters…

Computer Vision and Pattern Recognition · Computer Science 2021-09-21 Seyed Mojtaba Marvasti-Zadeh , Hossein Ghanei-Yakhdan , Shohreh Kasaei , Kamal Nasrollahi , Thomas B. Moeslund

A new approach for simulating flows over complex geometries is developed by introducing an accurate virtual interpolation point scheme as well as a virtual local stencil approach. The present method is based on the concept of point…

Numerical Analysis · Mathematics 2014-02-05 Seong-Kwan Park , Gahyung Jo , Hi Jun Choe

In this work, we propose a numerical approach for simulations of large deformations of interfaces in a level set framework. To obtain a fast and viable numerical solution in both time and space, temporal discretization is based on the…

General Mathematics · Mathematics 2023-05-30 Aymen Laadhari , Ahmad Deeb

Computing offsets of curves on parametric surfaces is a fundamental yet challenging operation in computer aided design and manufacturing. Traditional analytical approaches suffer from time-consuming geodesic distance queries and complex…

Computational Geometry · Computer Science 2025-09-12 Jin Zhao , Pengfei Wang , Shuangmin Chen , Jiong Guo , Shiqing Xin , Changhe Tu , Wenping Wang

Neural implicit representations are widely used for 3D shape modeling due to their smoothness and compactness, but traditional MLP-based methods struggle with sharp features, such as edges and corners in CAD models, and require long…

Graphics · Computer Science 2025-03-18 Guying Lin , Lei Yang , Congyi Zhang , Hao Pan , Yuhan Ping , Guodong Wei , Taku Komura , John Keyser , Wenping Wang

Visuotactile sensors are a popular tactile sensing strategy due to high-fidelity estimates of local object geometry. However, existing algorithms for processing raw sensor inputs to useful intermediate signals such as contact patches…

Video frame interpolation (VFI) that leverages the bio-inspired event cameras as guidance has recently shown better performance and memory efficiency than the frame-based methods, thanks to the event cameras' advantages, such as high…

Computer Vision and Pattern Recognition · Computer Science 2025-05-07 Haoyue Liu , Jinghan Xu , Yi Chang , Hanyu Zhou , Haozhi Zhao , Lin Wang , Luxin Yan

Implicit surfaces are known for their ability to represent smooth objects of arbitrary topology thanks to hierarchical combinations of primitives using a structure called a blobtree. We present a new tile-based rendering pipeline well…

Graphics · Computer Science 2023-04-20 Cédric Zanni

An improved numerical solver for the unified solution of compressible and incompressible fluids involving interfaces is proposed. The present method is based on the CIP-CUP (Cubic Interpolated Propagation / Combined, Unified Procedure)…

Computational Physics · Physics 2007-05-23 Masato Ida

Continual learning poses a fundamental challenge for modern machine learning systems, requiring models to adapt to new tasks while retaining knowledge from previous ones. Addressing this challenge necessitates the development of efficient…

Machine Learning · Computer Science 2024-04-10 Jędrzej Kozal , Jan Wasilewski , Bartosz Krawczyk , Michał Woźniak

The Iterative Closest Point (ICP) algorithm and its variants are a fundamental technique for rigid registration between two point sets, with wide applications in different areas from robotics to 3D reconstruction. The main drawbacks for ICP…

Computer Vision and Pattern Recognition · Computer Science 2023-04-18 Juyong Zhang , Yuxin Yao , Bailin Deng

We propose to augment standard grid-based fluid solvers with pointwise divergence-free velocity interpolation, thereby ensuring exact incompressibility down to the sub-cell level. Our method takes as input a discretely divergence-free…

Graphics · Computer Science 2023-11-28 Jumyung Chang , Ruben Partono , Vinicius C. Azevedo , Christopher Batty

Learning the dynamics of a process given sampled observations at several time points is an important but difficult task in many scientific applications. When no ground-truth trajectories are available, but one has only snapshots of data…

Machine Learning · Computer Science 2026-03-03 Oskar Kviman , Kirill Tamogashev , Nicola Branchini , Víctor Elvira , Jens Lagergren , Nikolay Malkin

Modeling contact between deformable solids is a fundamental problem in computer animation, mechanical design, and robotics. Existing methods based on $C^0$-discretizations -- piece-wise linear or polynomial surfaces -- suffer from…

Graphics · Computer Science 2023-08-04 Yinwei Du , Yue Li , Stelian Coros , Bernhard Thomaszewski

In Inertial Confinement Fusion (ICF) process, roughly a 2mm spherical shell made of high density carbon is used as target for laser beams, which compress and heat it to energy levels needed for high fusion yield. These shells are polished…

Fluid-Structure Interaction (FSI) can be investigated by means of non-linear Finite Element Models (FEM), suitable to capture large deflections of structural parts interacting with fluids, and Computational Fluid Dynamics (CFD). High…

Existing fine-tuning methods either tune all parameters of the pre-trained model (full fine-tuning), which is not efficient, or only tune the last linear layer (linear probing), which suffers a significant accuracy drop compared to the full…

Computer Vision and Pattern Recognition · Computer Science 2023-01-18 Dongze Lian , Daquan Zhou , Jiashi Feng , Xinchao Wang