Piecewise Polynomial Expression of Beach Profiles

Research output: Contribution to journalArticle

Abstract

This paper advances a piecewise polynomial based concept of beach profile geometric representation, the Piecewise Weighted Polynomial Interpolation Function (PWPIF) expression. Conventional monotonic power function or exponential function expressions of beach profile do not correlate well with actual field conditions. An alternative approach, the cubic spline interpolation function, has problems of over-fluctuation. The PWPIF expression is both a conceptional and practical beach profile geometric model, with a higher degree of approximation to reality in that (1) it correctly expresses the undulated morphology (e.g. bar-trough); (2) it copes well with the over-fluctuation the cubic spline interpolation curve sustains; (3) it gives a more realistic representation of beach profiles without missing important morphological information contained in seemingly irregular variation appearances, as it makes full use of all the gathered topographical information in establishing its coefficients; and (4) It represents a flexible and all-inclusive approach of expressing multiple beach profile types. The PWPIF expression has been tested against 667 sets of beach profile data measured from actual field as well as laboratory conditions. As a spatial model, it can act as a more realistic geometric framework in beach analysis, helping to characterise beach morphological elements (beach position, slope, and volume). Temporal analysis of profile changes also benefits from the methodology.
LanguageEnglish
Pages851-859
JournalJournal of Coastal Research
Volume26
Issue number5
Publication statusPublished - 8 Sep 2010

Fingerprint

beach profile
interpolation
beach
temporal analysis
trough
methodology

Keywords

  • Piecewise Weighted Polynomial Interpolation Function (PWPIF)
  • coastal geomorphology
  • Beach analysis
  • spatial model
  • geometry
  • shape function
  • cubic spline
  • GPS-RTK.

Cite this

@article{8ae2d08d7ca242bd9228e1527cbc4858,
title = "Piecewise Polynomial Expression of Beach Profiles",
abstract = "This paper advances a piecewise polynomial based concept of beach profile geometric representation, the Piecewise Weighted Polynomial Interpolation Function (PWPIF) expression. Conventional monotonic power function or exponential function expressions of beach profile do not correlate well with actual field conditions. An alternative approach, the cubic spline interpolation function, has problems of over-fluctuation. The PWPIF expression is both a conceptional and practical beach profile geometric model, with a higher degree of approximation to reality in that (1) it correctly expresses the undulated morphology (e.g. bar-trough); (2) it copes well with the over-fluctuation the cubic spline interpolation curve sustains; (3) it gives a more realistic representation of beach profiles without missing important morphological information contained in seemingly irregular variation appearances, as it makes full use of all the gathered topographical information in establishing its coefficients; and (4) It represents a flexible and all-inclusive approach of expressing multiple beach profile types. The PWPIF expression has been tested against 667 sets of beach profile data measured from actual field as well as laboratory conditions. As a spatial model, it can act as a more realistic geometric framework in beach analysis, helping to characterise beach morphological elements (beach position, slope, and volume). Temporal analysis of profile changes also benefits from the methodology.",
keywords = "Piecewise Weighted Polynomial Interpolation Function (PWPIF), coastal geomorphology, Beach analysis, spatial model, geometry, shape function, cubic spline, GPS-RTK.",
author = "JianDong Huang and Derek Jackson and Andrew Cooper",
year = "2010",
month = "9",
day = "8",
language = "English",
volume = "26",
pages = "851--859",
journal = "Journal of Coastal Research",
issn = "0749-0208",
number = "5",

}

Piecewise Polynomial Expression of Beach Profiles. / Huang, JianDong; Jackson, Derek; Cooper, Andrew.

In: Journal of Coastal Research, Vol. 26, No. 5, 08.09.2010, p. 851-859.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Piecewise Polynomial Expression of Beach Profiles

AU - Huang, JianDong

AU - Jackson, Derek

AU - Cooper, Andrew

PY - 2010/9/8

Y1 - 2010/9/8

N2 - This paper advances a piecewise polynomial based concept of beach profile geometric representation, the Piecewise Weighted Polynomial Interpolation Function (PWPIF) expression. Conventional monotonic power function or exponential function expressions of beach profile do not correlate well with actual field conditions. An alternative approach, the cubic spline interpolation function, has problems of over-fluctuation. The PWPIF expression is both a conceptional and practical beach profile geometric model, with a higher degree of approximation to reality in that (1) it correctly expresses the undulated morphology (e.g. bar-trough); (2) it copes well with the over-fluctuation the cubic spline interpolation curve sustains; (3) it gives a more realistic representation of beach profiles without missing important morphological information contained in seemingly irregular variation appearances, as it makes full use of all the gathered topographical information in establishing its coefficients; and (4) It represents a flexible and all-inclusive approach of expressing multiple beach profile types. The PWPIF expression has been tested against 667 sets of beach profile data measured from actual field as well as laboratory conditions. As a spatial model, it can act as a more realistic geometric framework in beach analysis, helping to characterise beach morphological elements (beach position, slope, and volume). Temporal analysis of profile changes also benefits from the methodology.

AB - This paper advances a piecewise polynomial based concept of beach profile geometric representation, the Piecewise Weighted Polynomial Interpolation Function (PWPIF) expression. Conventional monotonic power function or exponential function expressions of beach profile do not correlate well with actual field conditions. An alternative approach, the cubic spline interpolation function, has problems of over-fluctuation. The PWPIF expression is both a conceptional and practical beach profile geometric model, with a higher degree of approximation to reality in that (1) it correctly expresses the undulated morphology (e.g. bar-trough); (2) it copes well with the over-fluctuation the cubic spline interpolation curve sustains; (3) it gives a more realistic representation of beach profiles without missing important morphological information contained in seemingly irregular variation appearances, as it makes full use of all the gathered topographical information in establishing its coefficients; and (4) It represents a flexible and all-inclusive approach of expressing multiple beach profile types. The PWPIF expression has been tested against 667 sets of beach profile data measured from actual field as well as laboratory conditions. As a spatial model, it can act as a more realistic geometric framework in beach analysis, helping to characterise beach morphological elements (beach position, slope, and volume). Temporal analysis of profile changes also benefits from the methodology.

KW - Piecewise Weighted Polynomial Interpolation Function (PWPIF)

KW - coastal geomorphology

KW - Beach analysis

KW - spatial model

KW - geometry

KW - shape function

KW - cubic spline

KW - GPS-RTK.

M3 - Article

VL - 26

SP - 851

EP - 859

JO - Journal of Coastal Research

T2 - Journal of Coastal Research

JF - Journal of Coastal Research

SN - 0749-0208

IS - 5

ER -