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Cardinaux, C Sanderson, J Czyz, L Vandendorpe, S Srisuk, M Petrou, W Kurutach, A Kadyrov, R Paredes, B Kepenekci, F B Tek, G B Akar, F Deravi, and N Mavity, Face veri cation competition on the XM2VTS database, in AVBPA03, Guildford, United Kingdom, 9 11 June 2003, pp 964 974 48 S Pigeon and L Vandendorpe, The m2vts multimodal face database, in J Bigun, G Chollet and G Borgefors, editors, Lecture Notes in Computer Science: Audio and Video-Based Biometric Person Authentication, Vol 1206, First International Conference, AVBPA 97, Crans-Montana, Switzerland, March 12 14, 1997 Springer, Berlin 1997, pp 403 409 49 K Jonsson, J Matas, and Kittler, Learning salient features for real-time face veri cation, in Procedings, Second International Conference on Audio- and Video-Based Biometric Person Authentication (AVBPA 99), 1999, pp 60 65 50 K-R Muller, S Mika, G Ratsch, K Tsuda, and B.

To do this, we must explicitly indicate which component of the complex object we wish to assign The complex number class supports a pair of operations for reading either the real or the imaginary part For example, we can either use the member access syntax

double re = complex_objreal(); double im = complex_objimag();

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The 802.1x model is a logical model consisting of a switched Ethernet hub with multiple logical switches, where there is one logical switch per user. The reason for insisting on the term logical is that, for wireless networks, such as 802.11 networks, there is no physical switch as opposed to wired 802 networks. 802.11 is like an access point that is dealing with multiple users trying to connect. As a user tries gain access to the network, it is as though it is trying to logically connect to the hub. A software port called the port access entity (PAE) is created for the user, where each port includes an authenticator and a switch (shown in Figure 10.11). The switch is open or disconnected to illustrate the controlled ports, i.e. ports that are used for variety of applications and services. This switch remains open (port closed) until the authentication is complete and will close (port open) when the user is authorized to use these services. The uncontrolled port is always open to allow for transit of authentication exchanges. For this reason, 802.1X is referred to as a port-based authentication.

Scholkopf, An introduction to kernel-based learning algorithms, IEEE Trans Neural Networks 12(2):181 201, 2001..

or the equivalent nonmember syntax:

// equivalent to the member syntax, above double re = real( complex_obj ); double im = imag( complex_obj );

Low-dimensional representations of object appearance have proved to be one of the successful strategies in computer vision for applications in tracking, modeling, and recognition. Active appearance models (AAMs) [1, 2], multilinear models [3 6], and other low-dimensional manifold representations [7] fall in this genre. In all these approaches, the construction of the underlying low-dimensional manifold relies upon obtaining different instances of the object s appearance under various conditions (e.g., pose, lighting, identity, and deformations) and then using statistical data analysis and machine learning tools to approximate the appearance space. This approach requires obtaining a large number of examples of the object s appearance, and the accuracy of the method depends upon the examples that have been chosen for the training phase. Representation of appearances that have not been seen during the training phase can be inaccurate. In mathematical modeling terms, this is a data-driven approach. In this chapter we show that it is possible to learn complex manifolds of object appearance using a combination of analytically derived geometrical models and statistical data analysis. We refer to this as a geometry-integrated appearance manifold (GAM). Speci cally, we derive a quadrilinear manifold of object appearance that is able to represent the combined effects of illumination, motion, identity, and deformation. The basis vectors of this manifold depend upon the 3D geometry of the object.

The complex number class supports four compound assignment operators: those of addition (+=), subtraction (-=), multiplication (*=), and division (/=) Thus, we can write, for example:

complex_obj += second_complex_obj;

Both the input and the output of a complex number are supported The output of a complex number is an ordered pair separated by a comma and surrounded by parentheses The first value is the real part, and the second value is the imaginary part For example,

Biometrics: Theory, Methods, and Applications. Edited by Boulgouris, Plataniotis, and Micheli-Tzanakou Copyright 2010 the Institute of Electrical and Electronics Engineers, Inc.

complex< double > complex0( 314159, -2171 );

file:///F|/WinDDK/resources/CPPPrimer/c++primerhtm (155 / 1065) [2001-3-29 11:32:04]

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