Statistical Computing on Manifolds for 3D Face Analysis and Recognition

Statistical Computing on Manifolds for 3D Face Analysis and Recognition
Author: Hassen Drira
Publisher:
Total Pages: 135
Release: 2011
Genre:
ISBN:

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Automatic face recognition has many benefits over other biometric technologies due to the natural, non-intrusive, and high throughput nature of face data acquisition. Thus, the techniques for face recognition have received a growing attention within the computer vision community over the past three decades. In terms of a modality for face imaging, a major advantage of 3D scans over 2D color imaging is that variations in illumination and scaling have less influence on the 3D scans.However, scan data often suffer from the problem of missing parts dueto self-occlusions or imperfections in scanning technologies. Additionally, variations in face data due to facial expressions are challenging to 3D face recognition. In order to be useful in real-world applications, 3D face recognition approaches should be able to successfully recognize face scans even in the presence of large expression-based deformations and missing data due to occlusions and pose variation. Most recent research has been directed towards expression-invariant techniques and spent less effort to handle the missing parts problem. Few approaches handles the missing part problem but none has performed on a full database containing real missing data, they simulate some missing parts. We present a common framework handling both large expressions and missing parts due to large pose variation. In addition, with the same framework, we are able to average surfaces and hierarchically organize databases to allow efficient searches. In presence of occlusion, we propose to delete and restore occluded parts. The surface is first represented by radial curves (emanating from the nose tip fo the 3D face). Then a base is built using PCA for each curve. Hence, the missing part of the curve can be restored by projecting the existing part of it on the base. PCA is applied on the tangent space of the mean curve as it is linear space. Once the occlusion was detected and removed, the occlusion challenge can be handled as a missing data problem. Hence, we apply the restoration framework and then apply our radial-curve-based 3D face recognition algorithm.

3D Face Modeling, Analysis and Recognition

3D Face Modeling, Analysis and Recognition
Author: Mohamed Daoudi
Publisher: John Wiley & Sons
Total Pages: 219
Release: 2013-06-11
Genre: Technology & Engineering
ISBN: 1118592638

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3D Face Modeling, Analysis and Recognition presents methodologies for analyzing shapes of facial surfaces, develops computational tools for analyzing 3D face data, and illustrates them using state-of-the-art applications. The methodologies chosen are based on efficient representations, metrics, comparisons, and classifications of features that are especially relevant in the context of 3D measurements of human faces. These frameworks have a long-term utility in face analysis, taking into account the anticipated improvements in data collection, data storage, processing speeds, and application scenarios expected as the discipline develops further. The book covers face acquisition through 3D scanners and 3D face pre-processing, before examining the three main approaches for 3D facial surface analysis and recognition: facial curves; facial surface features; and 3D morphable models. Whilst the focus of these chapters is fundamentals and methodologies, the algorithms provided are tested on facial biometric data, thereby continually showing how the methods can be applied. Key features: • Explores the underlying mathematics and will apply these mathematical techniques to 3D face analysis and recognition • Provides coverage of a wide range of applications including biometrics, forensic applications, facial expression analysis, and model fitting to 2D images • Contains numerous exercises and algorithms throughout the book

Statistics on Special Manifolds

Statistics on Special Manifolds
Author: Yasuko Chikuse
Publisher: Springer Science & Business Media
Total Pages: 425
Release: 2012-11-12
Genre: Mathematics
ISBN: 0387215409

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Covering statistical analysis on the two special manifolds, the Stiefel manifold and the Grassmann manifold, this book is designed as a reference for both theoretical and applied statisticians. It will also be used as a textbook for a graduate course in multivariate analysis. It is assumed that the reader is familiar with the usual theory of univariate statistics and a thorough background in mathematics, in particular, knowledge of multivariate calculation techniques.

Riemannian Computing in Computer Vision

Riemannian Computing in Computer Vision
Author: Pavan K. Turaga
Publisher: Springer
Total Pages: 382
Release: 2015-11-09
Genre: Technology & Engineering
ISBN: 3319229575

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This book presents a comprehensive treatise on Riemannian geometric computations and related statistical inferences in several computer vision problems. This edited volume includes chapter contributions from leading figures in the field of computer vision who are applying Riemannian geometric approaches in problems such as face recognition, activity recognition, object detection, biomedical image analysis, and structure-from-motion. Some of the mathematical entities that necessitate a geometric analysis include rotation matrices (e.g. in modeling camera motion), stick figures (e.g. for activity recognition), subspace comparisons (e.g. in face recognition), symmetric positive-definite matrices (e.g. in diffusion tensor imaging), and function-spaces (e.g. in studying shapes of closed contours).

Nonparametric Statistics on Manifolds and Their Applications to Object Data Analysis

Nonparametric Statistics on Manifolds and Their Applications to Object Data Analysis
Author: Victor Patrangenaru
Publisher: CRC Press
Total Pages: 534
Release: 2015-09-18
Genre: Mathematics
ISBN: 1439820511

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A New Way of Analyzing Object Data from a Nonparametric ViewpointNonparametric Statistics on Manifolds and Their Applications to Object Data Analysis provides one of the first thorough treatments of the theory and methodology for analyzing data on manifolds. It also presents in-depth applications to practical problems arising in a variety of fields

Analysis and Modelling of Faces and Gestures

Analysis and Modelling of Faces and Gestures
Author: Shaogang Gong
Publisher: Taylor & Francis
Total Pages: 444
Release: 2005-10-04
Genre: Computers
ISBN: 9783540292296

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This book constitutes the refereed proceedings of the Second International Workshop on Analysis and Modelling of Faces and Gestures, AMFG 2005, held in Beijing, China in October 2005 within the scope of ICCV 2005, the International Conference on Computer Vision. The 30 revised full papers presented together with 2 invited papers were carefully reviewed and selected from 90 submissions. The papers give a survey of the status of recognition, analysis and modeling of face and gesture. The topics of these papers range from feature representation, robust recognition, learning, 3D modeling, to psychology.

Handbook of Remote Biometrics

Handbook of Remote Biometrics
Author: Massimo Tistarelli
Publisher: Springer Science & Business Media
Total Pages: 380
Release: 2009-06-02
Genre: Computers
ISBN: 1848823851

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The development of technologies for the identi?cation of individuals has driven the interest and curiosity of many people. Spearheaded and inspired by the Bertillon coding system for the classi?cation of humans based on physical measurements, scientists and engineers have been trying to invent new devices and classi?cation systems to capture the human identity from its body measurements. One of the main limitations of the precursors of today’s biometrics, which is still present in the vast majority of the existing biometric systems, has been the need to keep the device in close contact with the subject to capture the biometric measurements. This clearly limits the applicability and convenience of biometric systems. This book presents an important step in addressing this limitation by describing a number of methodologies to capture meaningful biometric information from a distance. Most materials covered in this book have been presented at the International Summer School on Biometrics which is held every year in Alghero, Italy and which has become a ?agship activity of the IAPR Technical Committee on Biometrics (IAPR TC4). The last four chapters of the book are derived from some of the best p- sentations by the participating students of the school. The educational value of this book is also highlighted by the number of proposed exercises and questions which will help the reader to better understand the proposed topics.

Representations, Analysis and Recognition of Shape and Motion from Imaging Data

Representations, Analysis and Recognition of Shape and Motion from Imaging Data
Author: Boulbaba Ben Amor
Publisher: Springer
Total Pages: 182
Release: 2017-06-27
Genre: Computers
ISBN: 3319606549

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This book constitutes the refereed proceedings of the 6th International Workshop on Representations, Analysis and Recognition of Shape and Motion from Imaging Data, RFMI 2016, held in Sidi Bou Said Village, Tunisia, in October 2016. The 9 revised full papers and 7 revised short papers presented were carefully reviewed and selected from 23 submissions. The papers are organized in topical sections on 3D shape registration and comparison; face analysis and recognition; video and motion analysis; 2D shape analysis.

Similarity Measures for Face Recognition

Similarity Measures for Face Recognition
Author: Enrico Vezzetti
Publisher: Bentham Science Publishers
Total Pages: 108
Release: 2015-04-27
Genre: Computers
ISBN: 1681080443

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Face recognition has several applications, including security, such as (authentication and identification of device users and criminal suspects), and in medicine (corrective surgery and diagnosis). Facial recognition programs rely on algorithms that can compare and compute the similarity between two sets of images. This eBook explains some of the similarity measures used in facial recognition systems in a single volume. Readers will learn about various measures including Minkowski distances, Mahalanobis distances, Hansdorff distances, cosine-based distances, among other methods. The book also summarizes errors that may occur in face recognition methods. Computer scientists "facing face" and looking to select and test different methods of computing similarities will benefit from this book. The book is also useful tool for students undertaking computer vision courses.