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Hyperspectral imaging can help better understand the characteristics of different materials, compared with traditional image systems. However, only high-resolution multispectral (HrMS) and low-resolution hyperspectral (LrHS) images can…

Computer Vision and Pattern Recognition · Computer Science 2019-01-11 Qi Xie , Minghao Zhou , Qian Zhao , Deyu Meng , Wangmeng Zuo , Zongben Xu

Multi-degree splines are smooth piecewise-polynomial functions where the pieces can have different degrees. We describe a simple algorithmic construction of a set of basis functions for the space of multi-degree splines, with similar…

Numerical Analysis · Mathematics 2021-10-19 Hendrik Speleers

A method using deep reinforcement learning (DRL) to non-iteratively generate an optimal mesh for an arbitrary blade passage is developed. Despite automation in mesh generation using either an empirical approach or an optimization algorithm,…

Machine Learning · Computer Science 2023-05-11 Innyoung Kim , Sejin Kim , Donghyun You

We incorporate deep learning (DL) into coherent beam combining (CBC) systems for the first time, to the best of our knowledge. Using a well-trained convolutional neural network DL model, the phase error in CBC systems could be accurately…

High-quality volumetric meshing from medical images is a key bottleneck for physics-based simulations in personalized medicine. For volumetric meshing of complex medical structures, recent studies have often utilized deep learning…

Image and Video Processing · Electrical Eng. & Systems 2025-06-11 Daniel H. Pak , Shubh Thaker , Kyle Baylous , Xiaoran Zhang , Danny Bluestein , James S. Duncan

Parametric approaches to Learning, such as deep learning (DL), are highly popular in nonlinear regression, in spite of their extremely difficult training with their increasing complexity (e.g. number of layers in DL). In this paper, we…

Machine Learning · Computer Science 2018-03-23 Ashkan Panahi , Hamid Krim , Liyi Dai

We are interested to explore the limit in using deep learning (DL) to study the electromagnetic response for complex and random metasurfaces, without any specific applications in mind. For simplicity, we focus on a simple pure reflection…

Signal Processing · Electrical Eng. & Systems 2024-06-19 Tianning Zhang , Chun Yun Kee , Yee Sin Ang , L. K. Ang

The numerical solution of high dimensional partial differential equations (PDEs) is severely constrained by the curse of dimensionality (CoD), rendering classical grid--based methods impractical beyond a few dimensions. In recent years,…

Numerical Analysis · Mathematics 2026-01-27 Wenzhong Zhang , Zheyuan Hu , Wei Cai , George EM Karniadakis

Deep learning methods have played a more and more important role in hyperspectral image classification. However, the general deep learning methods mainly take advantage of the information of sample itself or the pairwise information between…

Computer Vision and Pattern Recognition · Computer Science 2021-03-30 Zhiqiang Gong , Weidong Hu , Xiaoyong Du , Ping Zhong , Panhe Hu

This paper introduces a novel method for the efficient and accurate computation of volume fractions on unstructured polyhedral meshes, where the phase boundary is an orientable hypersurface, implicitly given as the iso-contour of a…

Numerical Analysis · Mathematics 2021-11-19 Johannes Kromer , Dieter Bothe

This paper studies the straight skeleton of polyhedra in three dimensions. We first address voxel-based polyhedra (polycubes), formed as the union of a collection of cubical (axis-aligned) voxels. We analyze the ways in which the skeleton…

Computational Geometry · Computer Science 2008-05-02 Gill Barequet , David Eppstein , Michael T. Goodrich , Amir Vaxman

Deep metric learning aims to learn embeddings that contain semantic similarity information among data points. To learn better embeddings, methods to generate synthetic hard samples have been proposed. Existing methods of synthetic hard…

Computer Vision and Pattern Recognition · Computer Science 2020-04-24 Geonmo Gu , Byungsoo Ko

Spleen volumetry is primarily associated with patients suffering from chronic liver disease and portal hypertension, as they often have spleens with abnormal shapes and sizes. However, manually segmenting the spleen to obtain its volume is…

Image and Video Processing · Electrical Eng. & Systems 2023-05-11 Yuqi Wang , Jacob A. Macdonald , Katelyn R. Morgan , Danielle Hom , Sarah Cubberley , Kassi Sollace , Nicole Casasanto , Islam H. Zaki , Kyle J. Lafata , Mustafa R. Bashir

Recently, 3D version has been improved greatly due to the development of deep neural networks. A high quality dataset is important to the deep learning method. Existing datasets for 3D vision has been constructed, such as Bigbird and YCB.…

Computer Vision and Pattern Recognition · Computer Science 2020-11-18 Minglei Lu , Yu Guo , Fei Wang , Zheng Dang

Deep Learning (DL) models have been successfully applied to many applications including biomedical cell segmentation and classification in histological images. These models require large amounts of annotated data which might not always be…

Image and Video Processing · Electrical Eng. & Systems 2024-06-04 Roberto Basla , Loris Giulivi , Luca Magri , Giacomo Boracchi

This paper presents Polylidar, an efficient algorithm to extract non-convex polygons from 2D point sets, including interior holes. Plane segmented point clouds can be input into Polylidar to extract their polygonal counterpart, thereby…

Computational Geometry · Computer Science 2020-07-24 Jeremy Castagno , Ella Atkins

Merging the two cultures of deep and statistical learning provides insights into structured high-dimensional data. Traditional statistical modeling is still a dominant strategy for structured tabular data. Deep learning can be viewed…

Methodology · Statistics 2021-10-25 Anindya Bhadra , Jyotishka Datta , Nick Polson , Vadim Sokolov , Jianeng Xu

We introduce a new class of unfitted finite element methods with high order accurate numerical integration over curved surfaces and volumes which are only implicitly defined by level set functions. An unfitted finite element method which is…

Numerical Analysis · Mathematics 2015-12-10 Christoph Lehrenfeld

This paper introduces Laplace techniques for designing a neural network, with the goal of estimating simplex-constraint sparse vectors from compressed measurements. To this end, we recast the problem of MMSE estimation (w.r.t. a pre-defined…

Information Theory · Computer Science 2017-09-28 Steffen Limmer , Slawomir Stanczak

Recently introduced implicit field representations offer an effective way of generating 3D object shapes. They leverage implicit decoder trained to take a 3D point coordinate concatenated with a shape encoding and to output a value which…

Computer Vision and Pattern Recognition · Computer Science 2021-10-13 Magdalena Proszewska , Marcin Mazur , Tomasz Trzciński , Przemysław Spurek