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Covariance matrices play important roles in many areas of
mathematics, statistics, and machine learning, as well as their
applications. In computer vision and image processing, they give
rise to a powerful data representation, namely the covariance
descriptor, with numerous practical applications. In this book, we
begin by presenting an overview of the {\it finite-dimensional
covariance matrix} representation approach of images, along with
its statistical interpretation. In particular, we discuss the
various distances and divergences that arise from the intrinsic
geometrical structures of the set of Symmetric Positive Definite
(SPD) matrices, namely Riemannian manifold and convex cone
structures. Computationally, we focus on kernel methods on
covariance matrices, especially using the Log-Euclidean distance.
We then show some of the latest developments in the generalization
of the finite-dimensional covariance matrix representation to the
{\it infinite-dimensional covariance operator} representation via
positive definite kernels. We present the generalization of the
affine-invariant Riemannian metric and the Log-Hilbert-Schmidt
metric, which generalizes the Log-Euclidean distance.
Computationally, we focus on kernel methods on covariance
operators, especially using the Log-Hilbert-Schmidt distance.
Specifically, we present a two-layer kernel machine, using the
Log-Hilbert-Schmidt distance and its finite-dimensional
approximation, which reduces the computational complexity of the
exact formulation while largely preserving its capability.
Theoretical analysis shows that, mathematically, the approximate
Log-Hilbert-Schmidt distance should be preferred over the
approximate Log-Hilbert-Schmidt inner product and, computationally,
it should be preferred over the approximate affine-invariant
Riemannian distance. Numerical experiments on image classification
demonstrate significant improvements of the infinite-dimensional
formulation over the finite-dimensional counterpart. Given the
numerous applications of covariance matrices in many areas of
mathematics, statistics, and machine learning, just to name a few,
we expect that the infinite-dimensional covariance operator
formulation presented here will have many more applications beyond
those in computer vision.
The three volume set LNCS 7583, 7584 and 7585 comprises the
Workshops and Demonstrations which took place in connection with
the European Conference on Computer Vision, ECCV 2012, held in
Firenze, Italy, in October 2012. The total of 179 workshop papers
and 23 demonstration papers was carefully reviewed and selected for
inclusion in the proceedings. They where held at workshops with the
following themes: non-rigid shape analysis and deformable image
alignment; visual analysis and geo-localization of large-scale
imagery; Web-scale vision and social media; video event
categorization, tagging and retrieval; re-identification;
biological and computer vision interfaces; where computer vision
meets art; consumer depth cameras for computer vision; unsolved
problems in optical flow and stereo estimation; what's in a face?;
color and photometry in computer vision; computer vision in vehicle
technology: from earth to mars; parts and attributes; analysis and
retrieval of tracked events and motion in imagery streams; action
recognition and pose estimation in still images; higher-order
models and global constraints in computer vision; information
fusion in computer vision for concept recognition; 2.5D sensing
technologies in motion: the quest for 3D; benchmarking facial image
analysis technologies.
Group and Crowd Behavior for Computer Vision provides a
multidisciplinary perspective on how to solve the problem of group
and crowd analysis and modeling, combining insights from the social
sciences with technological ideas in computer vision and pattern
recognition. The book answers many unresolved issues in group and
crowd behavior, with Part One providing an introduction to the
problems of analyzing groups and crowds that stresses that they
should not be considered as completely diverse entities, but as an
aggregation of people. Part Two focuses on features and
representations with the aim of recognizing the presence of groups
and crowds in image and video data. It discusses low level
processing methods to individuate when and where a group or crowd
is placed in the scene, spanning from the use of people detectors
toward more ad-hoc strategies to individuate group and crowd
formations. Part Three discusses methods for analyzing the behavior
of groups and the crowd once they have been detected, showing how
to extract semantic information, predicting/tracking the movement
of a group, the formation or disaggregation of a group/crowd and
the identification of different kinds of groups/crowds depending on
their behavior. The final section focuses on identifying and
promoting datasets for group/crowd analysis and modeling,
presenting and discussing metrics for evaluating the pros and cons
of the various models and methods. This book gives computer vision
researcher techniques for segmentation and grouping, tracking and
reasoning for solving group and crowd modeling and analysis, as
well as more general problems in computer vision and machine
learning.
The two-volume set LNCS 9279 and 9280 constitutes the refereed
proceedings of the 18th International Conference on Image Analysis
and Processing, ICIAP 2015, held in Genoa, Italy, in September
2015. The 129 papers presented were carefully reviewed and selected
from 231 submissions. The papers are organized in the following
seven topical sections: video analysis and understanding, multiview
geometry and 3D computer vision, pattern recognition and machine
learning, image analysis, detection and recognition, shape analysis
and modeling, multimedia, and biomedical applications.
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New Trends in Image Analysis and Processing -- ICIAP 2015 Workshops - ICIAP 2015 International Workshops, BioFor, CTMR, RHEUMA, ISCA, MADiMa, SBMI, and QoEM, Genoa, Italy, September 7-8, 2015, Proceedings (Paperback, 1st ed. 2015)
Vittorio Murino, Enrico Puppo, Diego Sona, Marco Cristani, Carlo Sansone
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R3,446
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This book constitutes the refereed proceedings of seven workshops
held at the 18th International Conference on Image Analysis and
Processing, ICIAP 2015, in Genoa, Italy, in September 2015:
International Workshop on Recent Advances in Digital Security:
Biometrics and Forensics, BioFor 2015; International Workshop on
Color in Texture and Material Recognition, CTMR 2015; International
Workshop on Medical Imaging in Rheumatology: Advanced applications
for the analysis of in ammation and damage in the rheumatoid Joint,
RHEUMA 2015; International Workshop on Image-Based Smart City
Application, ISCA 2015; International Workshop on Multimedia
Assisted Dietary Management, MADiMa 2015; International Workshop on
Scene Background Modeling and initialization, SBMI 2015; and
International Workshop on Image and Video Processing for Quality of
Multimedia Experience, QoEM 2015.
The three volume set LNCS 7583, 7584 and 7585 comprises the
Workshops and Demonstrations which took place in connection with
the European Conference on Computer Vision, ECCV 2012, held in
Firenze, Italy, in October 2012. The total of 179 workshop papers
and 23 demonstration papers was carefully reviewed and selected for
inclusion in the proceedings. They where held at workshops with the
following themes: non-rigid shape analysis and deformable image
alignment; visual analysis and geo-localization of large-scale
imagery; Web-scale vision and social media; video event
categorization, tagging and retrieval; re-identification;
biological and computer vision interfaces; where computer vision
meets art; consumer depth cameras for computer vision; unsolved
problems in optical flow and stereo estimation; what's in a face?;
color and photometry in computer vision; computer vision in vehicle
technology: from earth to mars; parts and attributes; analysis and
retrieval of tracked events and motion in imagery streams; action
recognition and pose estimation in still images; higher-order
models and global constraints in computer vision; information
fusion in computer vision for concept recognition; 2.5D sensing
technologies in motion: the quest for 3D; benchmarking facial image
analysis technologies.
The three volume set LNCS 7583, 7584 and 7585 comprises the
Workshops and Demonstrations which took place in connection with
the European Conference on Computer Vision, ECCV 2012, held in
Firenze, Italy, in October 2012. The total of 179 workshop papers
and 23 demonstration papers was carefully reviewed and selected for
inclusion in the proceedings. They where held at workshops with the
following themes: non-rigid shape analysis and deformable image
alignment; visual analysis and geo-localization of large-scale
imagery; Web-scale vision and social media; video event
categorization, tagging and retrieval; re-identification;
biological and computer vision interfaces; where computer vision
meets art; consumer depth cameras for computer vision; unsolved
problems in optical flow and stereo estimation; what's in a face?;
color and photometry in computer vision; computer vision in vehicle
technology: from earth to mars; parts and attributes; analysis and
retrieval of tracked events and motion in imagery streams; action
recognition and pose estimation in still images; higher-order
models and global constraints in computer vision; information
fusion in computer vision for concept recognition; 2.5D sensing
technologies in motion: the quest for 3D; benchmarking facial image
analysis technologies.
Multimodal Scene Understanding: Algorithms, Applications and Deep
Learning presents recent advances in multi-modal computing, with a
focus on computer vision and photogrammetry. It provides the latest
algorithms and applications that involve combining multiple sources
of information and describes the role and approaches of
multi-sensory data and multi-modal deep learning. The book is ideal
for researchers from the fields of computer vision, remote sensing,
robotics, and photogrammetry, thus helping foster interdisciplinary
interaction and collaboration between these realms. Researchers
collecting and analyzing multi-sensory data collections - for
example, KITTI benchmark (stereo+laser) - from different platforms,
such as autonomous vehicles, surveillance cameras, UAVs, planes and
satellites will find this book to be very useful.
The two-volume set LNCS 9279 and 9280 constitutes the refereed
proceedings of the 18th International Conference on Image Analysis
and Processing, ICIAP 2015, held in Genoa, Italy, in September
2015. The 129 papers presented were carefully reviewed and selected
from 231 submissions. The papers are organized in the following
seven topical sections: video analysis and understanding, multiview
geometry and 3D computer vision, pattern recognition and machine
learning, image analysis, detection and recognition, shape analysis
and modeling, multimedia, and biomedical applications.
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