Keyword search (4,164 papers available)

"Brugiapaglia S" Authored Publications:

Title Authors PubMed ID
1 Development and Application of Children s Sex- and Age-Specific Fat-Mass and Muscle-Mass Reference Curves From Dual-Energy X-Ray Absorptiometry Data for Predicting Cardiometabolic Risk Saputra ST; Van Hulst A; Henderson M; Brugiapaglia S; Faustini C; Kakinami L; 40878792
SOH
2 Real-time motion detection using dynamic mode decomposition Mignacca M; Brugiapaglia S; Bramburger JJ; 40421310
MATHSTATS
3 Near-optimal learning of Banach-valued, high-dimensional functions via deep neural networks Adcock B; Brugiapaglia S; Dexter N; Moraga S; 39454372
MATHSTATS
4 Generalization limits of Graph Neural Networks in identity effects learning D' Inverno GA; Brugiapaglia S; Ravanelli M; 39426036
ENCS
5 Invariance, Encodings, and Generalization: Learning Identity Effects With Neural Networks Brugiapaglia S; Liu M; Tupper P; 35798322
MATHSTATS

 

Title:Real-time motion detection using dynamic mode decomposition
Authors:Mignacca MBrugiapaglia SBramburger JJ
Link:https://pubmed.ncbi.nlm.nih.gov/40421310/
DOI:10.1186/s13640-025-00673-4
Publication:EURASIP journal on image and video processing
Keywords:Background subtractionComputer visionDynamic mode decompositionMotion detection
PMID:40421310 Category: Date Added:2025-05-27
Dept Affiliation: MATHSTATS
1 Department of Mathematics and Statistics, McGill University, Montréal, QC Canada.
2 Department of Mathematics and Statistics, Concordia University, Montréal, QC Canada.

Description:

Dynamic mode decomposition (DMD) is a numerical method that seeks to fit time-series data to a linear dynamical system. In doing so, DMD decomposes dynamic data into spatially coherent modes that evolve in time according to exponential growth/decay or with a fixed frequency of oscillation. A widespread application of DMD has been to video, where one interprets the high-dimensional pixel space evolving through time as the video plays. In this work, we propose a simple and interpretable motion detection algorithm for streaming video data rooted in DMD. Our method leverages the fact that there exists a correspondence between the evolution of important video features, such as foreground motion, and the eigenvalues of the matrix which results from applying DMD to segments of video. We apply the method to a database of test videos which emulate security footage under varying realistic conditions. Effectiveness is analyzed using receiver operating characteristic curves, while we use cross-validation to optimize the threshold parameter that identifies movement.





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