4,586 research outputs found
An Automated Algorithm for Approximation of Temporal Video Data Using Linear B'EZIER Fitting
This paper presents an efficient method for approximation of temporal video
data using linear Bezier fitting. For a given sequence of frames, the proposed
method estimates the intensity variations of each pixel in temporal dimension
using linear Bezier fitting in Euclidean space. Fitting of each segment ensures
upper bound of specified mean squared error. Break and fit criteria is employed
to minimize the number of segments required to fit the data. The proposed
method is well suitable for lossy compression of temporal video data and
automates the fitting process of each pixel. Experimental results show that the
proposed method yields good results both in terms of objective and subjective
quality measurement parameters without causing any blocking artifacts.Comment: 14 Pages, IJMA 201
A Characterization of the Two-weight Inequality for Riesz Potentials on Cones of Radially Decreasing Functions
We establish necessary and sufficient conditions on a weight pair
governing the boundedness of the Riesz potential operator defined
on a homogeneous group from to , where
is the Lebesgue space defined for non-negative radially
decreasing functions on . The same problem is also studied for the potential
operator with product kernels defined on a product of
two homogeneous groups . In the latter case weights, in general,
are not of product type. The derived results are new even for Euclidean spaces
- …