Paper Details: Downloads: 326
Serial Number: P1150619001
Title: Extension of the Sub-pixel Efficacy Region to the Lagrange Interpolation Function
Authors: Carlo Ciulla and Fadi P. Deek
Abstract: This paper reports on a novel methodology for improving the approximation properties of the cubic form of the Lagrange interpolation function through the use of two mathematical formulations: (i) the Intensity- Curvature Functional (?E) and (ii) its derived Sub-pixel Efficacy Region (SRE). Equations are determined dependent on the local curvature of the interpolation function and the pixel intensity at the neighbourhood, thus making it possible to calculate the Lagrange function with improved approximation properties. Characterizations of interpolation error and interpolation error improvement bounds are also presented. Fast Fourier Transform and Root-mean-square-error analysis are used to realize and present the improvements. The significance of the results is discussed within the context of a unifying framework which uses the same methodology for the improvement of the interpolation error of diverse functions.
Keywords: Lagrange Interpolation, Intensity-Curvature Functional, Sub-pixel Efficacy Region.
Journal/Conference: International Journal of Graphics, Vision and Image Processing
Volume: 6
Issue: 1
Submission Date: 4/1/2006 12:00:00 AM
Review Date: 5/1/2006 12:00:00 AM
Publishing Date: 7/1/2006 12:00:00 AM
Article Downloads: 326
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