Title
Compressing 3d measurement data under interval uncertainty
Abstract
The existing image and data compression techniques try to minimize the mean square deviation between the original data f(x,y,z) and the compressed-decompressed data $\widetilde f(x,y,z)$. In many practical situations, reconstruction that only guaranteed mean square error over the data set is unacceptable. For example, if we use the meteorological data to plan a best trajectory for a plane, then what we really want to know are the meteorological parameters such as wind, temperature, and pressure along the trajectory. If along this line, the values are not reconstructed accurately enough, the plane may crash – and the fact that on average, we get a good reconstruction, does not help. In general, what we need is a compression that guarantees that for each (x,y), the difference $|f(x,y,z)-\widetilde f(x,y,z)|$ is bounded by a given value Δ – i.e., that the actual value f(x,y,z) belongs to the interval$$[\widetilde f(x,y,z)-\Delta,\widetilde f(x,y,z)+\Delta].$$ In this paper, we describe new efficient techniques for data compression under such interval uncertainty.
Year
DOI
Venue
2004
10.1007/11558958_16
PARA
Keywords
Field
DocType
measurement data,original data,data compression technique,good reconstruction,data compression,interval uncertainty,best trajectory,actual value,compressed-decompressed data,meteorological data,mean square error
Discrete mathematics,Mean squared error,3d measurement,Root-mean-square deviation,Interval arithmetic,Data compression,Image compression,Trajectory,Mathematics,Bounded function
Conference
Volume
ISSN
ISBN
3732
0302-9743
3-540-29067-2
Citations 
PageRank 
References 
0
0.34
3
Authors
4
Name
Order
Citations
PageRank
Olga Kosheleva19754.24
Sergio Cabrera241.54
Brian Usevitch300.34
Edward Vidal441.02