Quality Parameter for Edge Representation of Images via Cubic Spline

Quality Parameter for Edge Representation of Images via Cubic Spline

Authors

DOI:

https://doi.org/10.5433/1679-0375.2023.v44.47720

Keywords:

quality parameter, spline, interpolation, image representation, octave

Abstract

This paper presents a new quality parameter for edge generation of two-dimensional images via spline interpolation.
The motivation of the study is to define a parameter which allows establishing a stop criterion for inserting image data and obtaining a representation via spline that is sufficiently faithful. The parameter is deduced by an iterative calculation process between areas limited by cubic and linear splines after insertion of points. Then, after convergence, the parameter qualifies the fidelity of the computational representation of the image. The numerical code is developed from the octave software, and some images were generated validating the new parameter.

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Author Biographies

Eliandro Rodrigues Cirilo, State University of Londrina - UEL

Prof. Dr., Department of Mathematics, UEL, Paraná, Brazil

Bella Rocxane Martins Figliaggi, State University of Londrina - UEL

Graduated in mathematics. Department of Mathematics, UEL, Paraná, Brazil

Paulo Laerte Natti, Londrina State University - UEL

Prof. Dr., Department of Mathematics, UEL, Paraná, Brazil

References

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Published

2023-11-24

How to Cite

Cirilo, E. R., Figliaggi, B. R. M., & Natti, P. L. (2023). Quality Parameter for Edge Representation of Images via Cubic Spline. Semina: Ciências Exatas E Tecnológicas, 44, e47720. https://doi.org/10.5433/1679-0375.2023.v44.47720

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Section

Mathematics

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