“Double Fourier Series as a mapping tool in marine cartography : analyses and use” Lic. Ing. Vande Wiele Tom

Area Modelling Settings Results Sampling Data Set Economical Factor Cartographic Factor ReliefPatternQuality

Data Module Model Type Properties Results Data Set Area Sampling Relief Quality Pattern Computer time Sampling time

Double Fourier Series Model  Introduction  Periodic function unambiguous, finite, continuous and periodic function converging, infinite, trigonometric series  The General Equation  Adjustment to the Data  Interpretation

Model Comparison ModelResults properties Construction Set Test Set Test Method H1H1 H2H2

Test Method YXYX Z0Z0 ZpZp Test Set Model Test Method

Study Area

The Data Sets Construction Sets : main patterns according to orientation : North West - South East oriented tracks [t]

The Data Sets Construction Sets : main patterns according to orientation : North West - South East oriented tracks [t] South West - North East oriented tracks [l]

The Data Sets Construction Sets : main patterns according to orientation : North West - South East oriented tracks [t] South West - North East oriented tracks [l] combination of previous tracks [lt]

The Data Sets Construction Sets : main patterns according to orientation : North West - South East oriented tracks [t] South West - North East oriented tracks [l] combination of previous tracks [lt] distances between tracks differentiation : l 1 l 2 l 3 l 4 l 5

The Data Sets Construction Sets : main patterns according to orientation : North West - South East oriented tracks [t] South West - North East oriented tracks [l] combination of previous tracks [lt] distances between tracks differentiation : l 1 l 2 l 3 l 4 l 5

The Data Sets Construction Sets : main patterns according to orientation : North West - South East oriented tracks [t] South West - North East oriented tracks [l] combination of previous tracks [lt] distances between tracks differentiation : l 1 l 2 l 3 l 4 l 5

The Data Sets Construction Sets : main patterns according to orientation : North West - South East oriented tracks [t] South West - North East oriented tracks [l] combination of previous tracks [lt] distances between tracks differentiation : t 1 t 5 l 1 l 5 l t 1 l t 5 Test Set

Results - Analyses Influence Pattern Influence Test Set Influence Point Density

Results - Use of the Model Direct Mapping Mapping Tool (Semivariogram original data set)(Semivariogram reduced data set)

Combination - Double Fourier Series & Kriging DFS - model Kriging - model Model Performance

Conclusions Influence number of terms used Influence validation/test set Influence pattern Analyses : Use : Direct mapping Indirect mapping / tool