• Home
  • Search
  • A subspace projection methodology for nonlinear manifold based face recognition
  • https://doi.org/10.25777/5v3e-vc49Copy DOI Icon

A subspace projection methodology for nonlinear manifold based face recognition

Show More
  • Abstract
  • Literature Map
  • Similar Papers
Abstract

A novel feature extraction method that utilizes nonlinear mapping from the original data space to the feature space is presented in this dissertation. Feature extraction methods aim to find compact representations of data that are easy to classify. Measurements with similar values are grouped to same category, while those with differing values are deemed to be of separate categories. For most practical systems, the meaningful features of a pattern class lie in a low dimensional nonlinear constraint region (manifold) within the high dimensional data space. A learning algorithm to model this nonlinear region and to project patterns to this feature space is developed. Least squares estimation approach that utilizes interdependency between points in training patterns is used to form the nonlinear region. The proposed feature extraction strategy is employed to improve face recognition accuracy under varying illumination conditions and facial expressions. Though the face features show variations under these conditions, the features of one individual tend to cluster together and can be considered as a neighborhood. Low dimensional representations of face patterns in the feature space may lie in a nonlinear constraint region, which when modeled leads to efficient pattern classification. A feature space encompassing multiple pattern classes can be trained by modeling a separate constraint region for each pattern class and obtaining a mean constraint region by averaging all the individual regions. Unlike most other nonlinear techniques, the proposed method provides an easy intuitive way to place new points onto a nonlinear region in the feature space. The proposed feature extraction and classification method results in improved accuracy when compared to the classical linear representations. Face recognition accuracy is further improved by introducing the concepts of modularity, discriminant analysis and phase congruency into the proposed method. In the modular approach, feature components are extracted from different sub-modules of the images and concatenated to make a single vector to represent a face region. By doing this we are able to extract features that are more representative of the local features of the face. When projected onto an arbitrary line, samples from well formed clusters could produce a confused mixture of samples from all the classes leading to poor recognition. Discriminant analysis aims to find an optimal line orientation for which the data classes are well separated. Experiments performed on various databases to evaluate the performance of the proposed face recognition technique have shown improvement in recognition accuracy, especially under varying illumination conditions and facial expressions. This shows that the integration of multiple subspaces, each representing a part of a higher order nonlinear function, could represent a pattern with variability. Research work is progressing to investigate the effectiveness of subspace projection methodology for building manifolds with other nonlinear functions and to identify the optimum nonlinear function from an object classification perspective.

Similar Papers
  • Research Article
  • Citations1

Analysis Study of Fuzzy C-Mean Algorithm Implemented on Abnormal MR Brain Images

  • Jun 18, 2015
  • Figshare
  • Journals Iosr +3
  • Research Article
  • Citations3

Crude Protein Profiling of Varieties of Capsicum annuum and Capsicum frutescens using SDS-PAGE.

  • May 12, 2015
  • Figshare
  • Journals Iosr +2
  • Research Article

Efficient and Secure Key Management Scheme for Mobile Ad Hoc Networks

  • Aug 22, 2015
  • Figshare
  • M El-Bashary +2
  • Research Article

Recent Advances in Modularity Optimization and Their Application in Retailing

  • Jan 01, 2014
  • Repository KITopen (Karlsruhe Institute of Technology)
  • Andreas Geyer-Schulz +1
  • Supplementary Content
  • Citations9

Flow Field and Stability of the Far Wake Behind Cylinders at Hypersonic Speeds

  • Jan 01, 1966
  • Hermann Wilhelm Behrens
  • Research Article

Neighborhood defined feature selection strategy for improved face recognition in different sensor modalities

  • Jan 01, 2007
  • ODU Digital Commons (Old Dominion University)
  • K Vijayan Asari +1
  • Research Article

Dense Stellar Systems– Old and Young MODEST-5b

  • Jul 16, 2004
  • Astronomische Nachrichten
  • Spurzem +13
  • Research Article
  • Citations2

Dynamic Layered Clustering Routing Algorithm in Underwater Sensor Networks

  • Jun 19, 2015
  • 电子与信息学报
  • Hong Chang-Jian +2
  • Conference Article

Energy-efficient Clustering with Fast Data Compression in Sensor Networks

  • Nov 09, 2006
  • Xiaoling Wu +4
  • Supplementary Content

Adaptive Resource Relocation in Virtualized Heterogeneous Clusters

  • Jan 01, 2010
  • ANU Open Research (Australian National University)
  • Muhammad Atif
  • Research Article

Fairly Power Allocation Scheme in Downlink NOMA Systems

  • Jan 01, 2020
  • 电子科技大学学报
  • Xinji Tian +2
  • Research Article

The $^{12}C$ continuum in a microscopic coupled channel calculation

  • Jan 01, 2014
  • GSI Repository (GSI Helmholtzzentrum für Schwerionenforschung)
  • Thomas Neff +1

Clustering of the Potential of Customers' Internet Bandwidth Upgrade on FTTH Broadband

  • Apr 30, 2021
  • Sasa Ani Arnomo
  • PDF
  • Supplementary Content
  • Citations32

Capturing Consumer Preferences for Value Chain Improvements in the Mango Industry of Pakistan

  • Sep 01, 2015
  • AgEcon Search (University of Minnesota, USA)
  • Hammad Badar +2
  • Research Article
  • Citations2

Tendencias y características de los viajeros que visitan la ciudad de Pereira por medio de técnicas de minería de datos

  • Dec 30, 2017
  • Scientia et technica (Universidad Tecnológica de Pereira)
  • Diego Fernando Salcedo Toro
Cactus Communications logo

Copyright 2026 Cactus Communications. All rights reserved.