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The goal of this work was to derive an algorithm that could be used to
reconstruct the 3D geometry of a rigid scene composed of a number of
straight line features using the measurements obtained from a set of
calibrated cameras at unknown positions. The algorithm we have
implemented recovers the positions of the features and the positions
of the cameras up to a scale factor.
Homotopy continuation is a numerical method for solving systems of n
polynomial equations in n variables. It finds both real and complex
roots of the system, and we have successfully used it to solve systems
with up to 2000 roots for a diverse set of applications including
geometric modelling, aspect graph construction, stable pose
computation, etc. This is a distributed implementation that runs
across a network of UNIX machines. A program invokes clients on
remote UNIX workstations to solve subproblems. We have run this using
Sparc Stations running Solaris and Sun UNIX, and SGI's running IRIX.
The Yale Face Database (size 6.4MB) contains 165 grayscale images in GIF
format of 15 individuals. There are 11 images per subject, one per different
facial expression or configuration: center-light, w/glasses, happy,
left-light, w/no glasses, normal, right-light, sad, sleepy, surprised, and
wink. |
Updated : Sep 9 2001 Research support |