Image processing and the spline approximation of the third and fifth order

Standard

Image processing and the spline approximation of the third and fifth order. / Burova, I. G.; Narbutovskikh, I. I.; Muzafarova, E. F.

In: International Journal of Circuits, Systems and Signal Processing, Vol. 13, 01.01.2019, p. 550-557.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{4f5726f3d1f9473a947b9c38d1828810,

title = "Image processing and the spline approximation of the third and fifth order",

abstract = "Local splines and it{\textquoteright}s cubic polynomial splines, which are used traditionally, are used in solving many image processing problems. In this paper, we consider the use of local quadratic polynomial and trigonometric splines of the third order of approximation, as well as polynomial splines of the fifth order of approximation for image processing. The paper proposes an algorithm to increase the image (or its part) without loss of quality using local polynomial splines of the third and fifth order of approximation and trigonometric splines of the third order of approximation. This paper also developed an algorithm for compressing and restoring images using the considered splines. The theoretical background and results of numerical experiments are presented.",

keywords = "Local polynomial splines, Trigonometric splinesimage processing",

author = "Burova, {I. G.} and Narbutovskikh, {I. I.} and Muzafarova, {E. F.}",

year = "2019",

month = jan,

day = "1",

language = "English",

volume = "13",

pages = "550--557",

journal = "International Journal of Circuits, Systems and Signal Processing",

issn = "1998-4464",

publisher = "North Atlantic University Union NAUN",

}

RIS

TY - JOUR

T1 - Image processing and the spline approximation of the third and fifth order

AU - Burova, I. G.

AU - Narbutovskikh, I. I.

AU - Muzafarova, E. F.

PY - 2019/1/1

Y1 - 2019/1/1

N2 - Local splines and it’s cubic polynomial splines, which are used traditionally, are used in solving many image processing problems. In this paper, we consider the use of local quadratic polynomial and trigonometric splines of the third order of approximation, as well as polynomial splines of the fifth order of approximation for image processing. The paper proposes an algorithm to increase the image (or its part) without loss of quality using local polynomial splines of the third and fifth order of approximation and trigonometric splines of the third order of approximation. This paper also developed an algorithm for compressing and restoring images using the considered splines. The theoretical background and results of numerical experiments are presented.

AB - Local splines and it’s cubic polynomial splines, which are used traditionally, are used in solving many image processing problems. In this paper, we consider the use of local quadratic polynomial and trigonometric splines of the third order of approximation, as well as polynomial splines of the fifth order of approximation for image processing. The paper proposes an algorithm to increase the image (or its part) without loss of quality using local polynomial splines of the third and fifth order of approximation and trigonometric splines of the third order of approximation. This paper also developed an algorithm for compressing and restoring images using the considered splines. The theoretical background and results of numerical experiments are presented.

KW - Local polynomial splines

KW - Trigonometric splinesimage processing

UR - http://www.scopus.com/inward/record.url?scp=85073729684&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85073729684

VL - 13

SP - 550

EP - 557

JO - International Journal of Circuits, Systems and Signal Processing

JF - International Journal of Circuits, Systems and Signal Processing

SN - 1998-4464

ER -

ID: 47855055