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3D additive manufacturing enables the fabrication of nanophotonic structures with subwavelength features that control light across macroscopic scales. Gradient-based optimization offers an efficient approach to design these complex and…

We consider the problem of the construction of the nanophotonic structures of arbitrary geometry with prescribed desired properties. We reformulate this problem as an optimization problem for the Tikhonov functional which is minimized on…

Numerical Analysis · Mathematics 2016-06-07 L. Beilina , L. Mpinganzima , P. Tassin

Conventional nano-photonic schemes minimise multiple scattering to realise a miniaturised version of beam-splitters, interferometers and optical cavities for light propagation and lasing. Here instead, we introduce a nanophotonic network…

Adjoint optimization is an effective method in the inverse design of nanophotonic devices. In order to ensure the manufacturability, one would like to have control over the minimal feature sizes. Here we propose utilizing a level-set method…

Optics · Physics 2020-04-22 Erfan Khoram , Xiaoping Qian , Ming Yuan , Zongfu Yu

A modified Green operator is proposed as an improvement of Fourier-based numerical schemes commonly used for computing the electrical or thermal response of heterogeneous media. Contrary to other methods, the number of iterations necessary…

Materials Science · Physics 2014-08-22 François Willot , Bassam Abdallah , Yves-Patrick Pellegrini

Relying on either deep models or physical models are two mainstream approaches for solving inverse sample reconstruction problems in programmable illumination computational microscopy. Solutions based on physical models possess strong…

Image and Video Processing · Electrical Eng. & Systems 2024-03-21 Ruiqing Sun , Delong Yang , Shaohui Zhang , Qun Hao

Nanophotonic devices manipulate light at sub-wavelength scales, enabling tasks such as light concentration, routing, and filtering. Designing these devices is a challenging task. Traditionally, solving this problem has relied on…

We prove that when a class of partial differential equations, generalized from the cable equation, is defined on tree graphs, and when the inputs are restricted to a spatially discrete, well chosen set of points, the Green's function (GF)…

Neurons and Cognition · Quantitative Biology 2015-09-17 Willem A. M. Wybo , Daniele Boccalini , Benjamin Torben-Nielsen , Marc-Oliver Gewaltig

We consider the problem of numerically integrating functions with hyperplane discontinuities over the entire Euclidean space in many dimensions. We describe a simple process through which the Euclidean space is partitioned into simplices on…

Numerical Analysis · Mathematics 2014-06-06 Vassilis Pandis

Image fusion methods and metrics for their evaluation have conventionally used pixel-based or low-level features. However, for many applications, the aim of image fusion is to effectively combine the semantic content of the input images.…

Computer Vision and Pattern Recognition · Computer Science 2021-10-14 P. R. Hill , D. R. Bull

Deep learning-based image fusion approaches have obtained wide attention in recent years, achieving promising performance in terms of visual perception. However, the fusion module in the current deep learning-based methods suffers from two…

Computer Vision and Pattern Recognition · Computer Science 2022-02-01 Dongyu Rao , Xiao-Jun Wu , Tianyang Xu , Guoyang Chen

The bilateral filter is a versatile non-linear filter that has found diverse applications in image processing, computer vision, computer graphics, and computational photography. A widely-used form of the filter is the Gaussian bilateral…

Computer Vision and Pattern Recognition · Computer Science 2016-11-15 Kunal N. Chaudhury

Binary optimisation tasks are ubiquitous in areas ranging from logistics to cryptography. The exponential complexity of such problems means that the performance of traditional computational methods decreases rapidly with increasing problem…

Residue number system (RNS) enables dimensionality reduction of an arithmetic problem by representing a large number as a set of smaller integers, where the number is decomposed by prime number factorization using the moduli as basic…

Emerging Technologies · Computer Science 2017-12-04 Jiaxin Peng , Shuai Sun , Vikram K. Narayana , Volker J. Sorger , Tarek El-Ghazawi

Superpixel algorithms are a common pre-processing step for computer vision algorithms such as segmentation, object tracking and localization. Many superpixel methods only rely on colors features for segmentation, limiting performance in…

Computer Vision and Pattern Recognition · Computer Science 2019-03-13 Thomas Verelst , Matthew Blaschko , Maxim Berman

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

We introduce the new concept of "metalines" for manipulating the amplitude and phase profile of an incident wave locally and independently. Thanks to the highly confined graphene plasmons, a transmit-array of graphene-based metalines is…

Emerging Technologies · Computer Science 2023-07-19 Sajjad AbdollahRamezani , Kamalodin Arik , Amin Khavasi , Zahra Kavehvash

This paper considers lossless image compression and presents a learned compression system that can achieve state-of-the-art lossless compression performance but uses only 59K parameters, which is more than 30x less than other learned…

Image and Video Processing · Electrical Eng. & Systems 2022-12-08 Sinem Gumus , Fatih Kamisli

Surface normal integration is a fundamental problem in computer vision, dealing with the objective of reconstructing a surface from its corresponding normal map. Existing approaches require an iterative global optimization to jointly…

Computer Vision and Pattern Recognition · Computer Science 2025-12-02 Francesco Milano , Jen Jen Chung , Lionel Ott , Roland Siegwart

The multipole expansion of a nano-photonic structure's electromagnetic response is a versatile tool to interpret optical effects in nano-optics, but it only gives access to the modes that are excited by a specific illumination. In…