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Photonic computing promises faster and more energy-efficient deep neural network (DNN) inference than traditional digital hardware. Advances in photonic computing can have profound impacts on applications such as autonomous driving and…

Computer Vision and Pattern Recognition · Computer Science 2023-10-04 Lakshmi Nair , David Widemann , Brad Turcott , Nick Moore , Alexandra Wleklinski , Darius Bunandar , Ioannis Papavasileiou , Shihu Wang , Eric Logan

A novel multi-focus image fusion algorithm performed in spatial domain based on similarity characteristics is proposed incorporating with region segmentation. In this paper, a new similarity measure is developed based on the structural…

Computer Vision and Pattern Recognition · Computer Science 2022-02-01 Ya-Qiong Zhang , Xiao-Jun Wu , Hui Li

We consider the problem of solving partial differential equations (PDEs) in domains with complex microparticle geometry that is impractical, or intractable, to model explicitly. Drawing inspiration from volume rendering, we propose tackling…

Graphics · Computer Science 2025-06-11 Bailey Miller , Rohan Sawhney , Keenan Crane , Ioannis Gkioulekas

The triangulation of images has become an active research area in recent years for its compressive representation and ease of image processing and visualization. However, little work has been done on how to faithfully recover image…

Computer Vision and Pattern Recognition · Computer Science 2014-06-30 Ke Liu , Ming Xu , Zeyun Yu

Semantic segmentation is a critical task in computer vision aiming to identify and classify individual pixels in an image, with numerous applications in for example autonomous driving and medical image analysis. However, semantic…

Computer Vision and Pattern Recognition · Computer Science 2024-11-18 Halil Ibrahim Aysel , Xiaohao Cai , Adam Prügel-Bennett

Mainstream numerical Partial Differential Equation (PDE) solvers require discretizing the physical domain using a mesh. Mesh movement methods aim to improve the accuracy of the numerical solution by increasing mesh resolution where the…

Curve evolution schemes for image segmentation based on a region based contour model allowing for junctions, vector-valued images and topology changes are introduced. Together with an a posteriori denoising in the segmented homogeneous…

Computer Vision and Pattern Recognition · Computer Science 2013-08-13 Heike Benninghoff , Harald Garcke

We present a novel algorithm for segmentation of natural images that harnesses the principle of minimum description length (MDL). Our method is based on observations that a homogeneously textured region of a natural image can be well…

Computer Vision and Pattern Recognition · Computer Science 2010-06-21 Hossein Mobahi , Shankar R. Rao , Allen Y. Yang , Shankar S. Sastry , Yi Ma

Anisotropic mesh adaptation has been successfully applied to the numerical solution of partial differential equations but little considered for variational problems. In this paper, we investigate the use of a global hierarchical basis error…

Numerical Analysis · Mathematics 2015-03-17 Weizhang Huang , Lennard Kamenski , Xianping Li

Mesh adaption procedures for finite element approximation allows one to adapt the resolution, by local refinement in the regions of strong variation of the function of interest. This procedure plays a key role in numerous applications of…

Numerical Analysis · Mathematics 2015-03-17 Jean-Marie Mirebeau

Image segmentation is the process of partitioning a image into different regions or groups based on some characteristics like color, texture, motion or shape etc. Active contours is a popular variational method for object segmentation in…

Computer Vision and Pattern Recognition · Computer Science 2013-11-12 Sumukh Bansal , Aditya Tatu

Machine learning based partial differential equations (PDEs) solvers have received great attention in recent years. Most progress in this area has been driven by deep neural networks such as physics-informed neural networks (PINNs) and…

Numerical Analysis · Mathematics 2025-09-23 Chunyang Liao

Segmentation maps of medical images annotated by medical experts contain rich spatial information. In this paper, we propose to decompose annotation maps to learn disentangled and richer feature transforms for segmentation problems in…

Image and Video Processing · Electrical Eng. & Systems 2019-06-10 Yizhe Zhang , Michael T. C. Ying , Danny Z. Chen

We develop all of the components needed to construct an adaptive finite element code that can be used to approximate fractional partial differential equations, on non-trivial domains in $d\geq 1$ dimensions. Our main approach consists of…

Numerical Analysis · Mathematics 2018-02-14 Mark Ainsworth , Christian Glusa

We present a parallel distributed-memory algorithm for large deformation diffeomorphic registration of volumetric images that produces large isochoric deformations (locally volume preserving). Image registration is a key technology in…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-25 Andreas Mang , Amir Gholami , George Biros

This paper addresses the automatic image segmentation problem in a region merging style. With an initially over-segmented image, in which the many regions (or super-pixels) with homogeneous color are detected, image segmentation is…

Computer Vision and Pattern Recognition · Computer Science 2015-05-20 Bo Peng , Lei Zhang , David Zhang

Current successful approaches for generic (non-semantic) segmentation rely mostly on edge detection and have leveraged the strengths of deep learning mainly by improving the edge detection stage in the algorithmic pipeline. This is in…

Computer Vision and Pattern Recognition · Computer Science 2020-03-26 Or Isaacs , Oran Shayer , Michael Lindenbaum

Image Segmentation is one of the core tasks in Computer Vision and solving it often depends on modeling the image appearance data via the color distributions of each it its constituent regions. Whereas many segmentation algorithms handle…

Computer Vision and Pattern Recognition · Computer Science 2025-02-06 Jeova Farias Sales Rocha Neto

We propose, analyze and realize a variational multiclass segmentation scheme that partitions a given image into multiple regions exhibiting specific properties. Our method determines multiple functions that encode the segmentation regions…

Computer Vision and Pattern Recognition · Computer Science 2023-09-19 Nadja Gruber , Johannes Schwab , Sebastien Court , Elke Gizewski , Markus Haltmeier

We propose a novel multimesh rational approximation scheme for the numerical solution of the (homogeneous) Dirichlet problem for the spectral fractional Laplacian. The scheme combines a rational approximation of the function $\lambda…

Numerical Analysis · Mathematics 2026-02-03 Alex Bespalov , Raphaël Bulle