A new approach for face detection using the maximum function of probability density functions

This article establishes some theoretical results about the maximum function of probability density functions ( f max ) and the integration of f max ( I f max ). Using the probability density function extracted from the image as a relatively stable feature of the image and I f max as a measure the s...

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Bibliographic Details
Published in:Annals of operations research 2022-05, Vol.312 (1), p.99-119
Main Authors: Che-Ngoc, Ha, Nguyen-Trang, Thao, Nguyen-Bao, Tran, Nguyen-Thoi, Trung, Vo-Van, Tai
Format: Article
Language:English
Subjects:
Algorithms
Business and Management
Civil engineering
Combinatorics
Computational mathematics
Face recognition
Feature extraction
Image analysis
Image processing
Methods
Neural networks
Operations research
Operations Research/Decision Theory
Probability density functions
S.I.: Statistical Reliability Modeling and Optimization
Theory of Computation
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Summary:This article establishes some theoretical results about the maximum function of probability density functions ( f max ) and the integration of f max ( I f max ). Using the probability density function extracted from the image as a relatively stable feature of the image and I f max as a measure the similarity between a “face” candidate region and a group of training face images, we propose a new face detection method, one of the most challenging tasks related to image analysis. The experiments demonstrate the competitiveness of the proposed method, especially in the case of rotated images. It also shows potential in real application of the researched problem.
ISSN:0254-5330
1572-9338
DOI:10.1007/s10479-020-03823-1