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Segmenting curvilinear structures in medical images is essential for analyzing morphological patterns in clinical applications. Integrating topological properties, such as connectivity, improves segmentation accuracy and consistency.…

Computer Vision and Pattern Recognition · Computer Science 2026-01-27 Zhuangzhi Gao , Feixiang Zhou , He Zhao , Xiuju Chen , Xiaoxin Li , Qinkai Yu , Yitian Zhao , Alena Shantsila , Gregory Y. H. Lip , Eduard Shantsila , Yalin Zheng

Recently, it has become evident that submodularity naturally captures widely occurring concepts in machine learning, signal processing and computer vision. Consequently, there is need for efficient optimization procedures for submodular…

Machine Learning · Computer Science 2013-11-19 Stefanie Jegelka , Francis Bach , Suvrit Sra

A key challenge in topology optimization (TopOpt) is that manufacturable structures, being inherently binary, are non-differentiable, creating a fundamental tension with gradient-based optimization. The subpixel-smoothed projection (SSP)…

Signal Processing · Electrical Eng. & Systems 2026-01-19 Giuseppe Romano , Rodrigo Arrieta , Steven G. Johnson

Continuous-domain visual signals are usually captured as discrete (digital) images. This operation is not invertible in general, in the sense that the continuous-domain signal cannot be exactly reconstructed based on the discrete image,…

Information Theory · Computer Science 2016-01-20 Mitra Fatemi , Arash Amini , Loic Baboulaz , Martin Vetterli

Common imaging techniques for detecting structural defects typically require sampling at more than twice the spatial frequency to achieve a target resolution. This study introduces a novel framework for imaging structural defects using…

Signal Processing · Electrical Eng. & Systems 2024-12-03 Wei-Chen Li , Chun-Yeon Lin

Recent deep learning-based methods for lossy image compression achieve competitive rate-distortion performance through extensive end-to-end training and advanced architectures. However, emerging applications increasingly prioritize semantic…

Computer Vision and Pattern Recognition · Computer Science 2025-09-09 Ruiqi Shen , Haotian Wu , Wenjing Zhang , Jiangjing Hu , Deniz Gunduz

Besides per-pixel accuracy, topological correctness is also crucial for the segmentation of images with fine-scale structures, e.g., satellite images and biomedical images. In this paper, by leveraging the theory of digital topology, we…

Computer Vision and Pattern Recognition · Computer Science 2022-10-14 Xiaoling Hu

Deep learning-based medical image segmentation techniques have shown promising results when evaluated based on conventional metrics such as the Dice score or Intersection-over-Union. However, these fully automatic methods often fail to meet…

Image and Video Processing · Electrical Eng. & Systems 2025-08-06 Liu Li , Qiang Ma , Cheng Ouyang , Johannes C. Paetzold , Daniel Rueckert , Bernhard Kainz

Image downscaling is one of the widely used operations in image processing and computer graphics. It was recently demonstrated in the literature that kernel-based convolutional filters could be modified to develop efficient image…

Image and Video Processing · Electrical Eng. & Systems 2023-01-18 Sanjay Ghosh , Arpan Garai

A well-known diagnostic imaging modality, termed ultrasound tomography, was quickly developed for the detection of very small tumors whose sizes are smaller than the wavelength of the incident pressure wave without ionizing radiation,…

Medical Physics · Physics 2015-08-05 Tran Quang-Huy , Tran Duc-Tan , Huynh Huu Tue , Nguyen Linh-Trung

Image segmentation is one of the principal approaches of image processing. The choice of the most appropriate Binarization algorithm for each case proved to be a very interesting procedure itself. In this paper, we have done the comparison…

Computer Vision and Pattern Recognition · Computer Science 2011-11-22 Aroop Mukherjee , Soumen Kanrar

In this paper, we present a novel upsampling framework to enhance the spatial resolution of the depth image. In our framework, the upscaling of a low-resolution depth image is guided by a corresponding intensity images, we formulate it as a…

Computer Vision and Pattern Recognition · Computer Science 2018-11-13 Hang Yang , Zhongbo Zhang

Appropriately representing elements in a database so that queries may be accurately matched is a central task in information retrieval; recently, this has been achieved by embedding the graphical structure of the database into a manifold in…

Machine Learning · Statistics 2023-07-10 Yueqi Cao , Athanasios Vlontzos , Luca Schmidtke , Bernhard Kainz , Anthea Monod

Photonic topology optimization is a technique used to find the electric permittivity distribution of a device that optimizes an electromagnetic figure-of-merit. Two common techniques are used: continuous density-based optimizations that…

Applied Physics · Physics 2021-07-21 Conner Ballew , Gregory Roberts , Tianzhe Zheng , Andrei Faraon

Image resampling is a necessary component of any operation that changes the size of an image or its geometry. Methods tuned for natural image upsampling (roughly speaking, image enlargement) are analyzed and developed with a focus on their…

Graphics · Computer Science 2015-03-20 Chantal Racette

Persistent homology, an algebraic method for discerning structure in abstract data, relies on the construction of a sequence of nested topological spaces known as a filtration. Two-parameter persistent homology allows the analysis of data…

Computational Geometry · Computer Science 2022-07-08 Anway De , Thong Vo , Matthew Wright

Persistence-based topological optimization deforms a point cloud $X \subset \mathbb{R}^d$ by minimizing objectives of the form $L(X) = \ell(\mathrm{Dgm}(X))$, where $\mathrm{Dgm}(X)$ is a persistence diagram. In practice, optimization is…

Computational Geometry · Computer Science 2026-05-13 Abderrahim Bendahi , Alexandre Duplessis , Arnaud Fickinger

In our research, we have developed a novel mechanism that allows for a significant reduction in the smallest sampling unit of digital image sensors (DIS) to as small as 1/16th of a pixel, through measuring the intra-pixel quantum efficiency…

Topological structures in image data, such as connected components and loops, play a crucial role in understanding image content (e.g., biomedical objects). % Despite remarkable successes of numerous image processing methods that rely on…

Computer Vision and Pattern Recognition · Computer Science 2025-08-05 Pengfei Gu , Hongxiao Wang , Yejia Zhang , Huimin Li , Chaoli Wang , Danny Chen

In this paper we propose a bayesian approach for near-duplicate image detection, and investigate how different probabilistic models affect the performance obtained. The task of identifying an image whose metadata are missing is often…

Computer Vision and Pattern Recognition · Computer Science 2021-08-23 Lucas Moutinho Bueno , Eduardo Valle , Ricardo da Silva Torres