[YPNG] YPNG Friday 21 Aug 2015 at 11:00
sekhar
sekhar.tatikonda at yale.edu
Wed Aug 19 14:55:20 EDT 2015
Hi Everyone,
This week we have an external speaker in the YPNG:
Lizhong Peng, Peking University
Tensor Eigenvalue and Its Applications
We propose the definition of D-eigenvalue for an arbitrary order tensor
related with a second-order tensor D, and introduce the 2-dimensional
skewness tensor which involves a three-order tensor derived from the
skewness statistic of gradient images. As we happen to find out that the
skewness of oriented gradients can measure the directional
characteristic of illumination in an image, the local illumination
detection problem for an image can be abstracted as solving the largest
D-eigenvalue of gradient image skewness tensors. We discuss the
properties of D-eigenvalues, and especially for gradient skewness
tensors we provide the calculation method of its D-eigenvalues and
D-characteristic polynomial. Numerical experiments show its effective
application in illumination detection. The method also presents
excellent results in a class of image authenticity verification
problems, which is to distinguish artificial flat objects in a
photograph. Moreover, a series of algorithms are proposed to describe
and analyze the natures of dynamic textures also. Experiments show that
the methods are very effective in many applications, such as dynamic
background subtraction, modeling, coding and classification of dynamic
textures, and crowd density estimation.
See you this Friday at 11 in the Stat's classroom.
Regards,
sekhar
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