Observatorio de I+D+i UPM

Memorias de investigación
Research Publications in journals:
Optimal Piecewise Linear Function Approximation for GPU-Based Applications
Year:2015
Research Areas
  • Applications for ingineerings and sciences,
  • Approximation theory,
  • Electronic technology and of the communications,
  • Scientific calculation
Information
Abstract
Many computer vision and human?computer interaction applications developed in recent years need evaluating complex and continuous mathematical functions as an essential step toward proper operation. However, rigorous evaluation of these kind of functions often implies a very high computational cost, unacceptable in real-time applications. To alleviate this problem, functions are commonly approximated by simpler piecewise-polynomial representations. Following this idea, we propose a novel, efficient, and practical technique to evaluate complex and continuous functions using a nearly optimal design of two types of piecewise linear approximations in the case of a large budget of evaluation subintervals. To this end, we develop a thorough error analysis that yields asymptotically tight bounds to accurately quantify the approximation performance of both representations. It provides an improvement upon previous error estimates and allows the user to control the tradeoff between the approximation error and the number of evaluation subintervals. To guarantee real-time operation, the method is suitable for, but not limited to, an efficient implementation in modern graphics processing units, where it outperforms previous alternative approaches by exploiting the fixed-function interpolation routines present in their texture units. The proposed technique is a perfect match for any application requiring the evaluation of continuous functions; we have measured in detail its quality and efficiency on several functions, and, in particular, the Gaussian function because it is extensively used in many areas of computer vision and cybernetics, and it is expensive to evaluate.
International
Si
JCR
Si
Title
Ieee Transactions on Cybernetics
ISBN
2168-2267
Impact factor JCR
3,469
Impact info
Datos JCR del año 2014
Volume
10.1109/TCYB.2015.2482365
Journal number
From page
1
To page
12
Month
SIN MES
Ranking
Participants
  • Autor: Daniel Berjon Diez (UPM)
  • Autor: Guillermo Gallego Bonet (UPM)
  • Autor: Carlos Cuevas Rodriguez (UPM)
  • Autor: Francisco Moran Burgos (UPM)
  • Autor: Narciso Garcia Santos (UPM)
Research Group, Departaments and Institutes related
  • Creador: Grupo de Investigación: Grupo de Tratamiento de Imágenes (GTI)
  • Departamento: Señales, Sistemas y Radiocomunicaciones
S2i 2019 Observatorio de investigación @ UPM con la colaboración del Consejo Social UPM
Cofinanciación del MINECO en el marco del Programa INNCIDE 2011 (OTR-2011-0236)
Cofinanciación del MINECO en el marco del Programa INNPACTO (IPT-020000-2010-22)