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

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

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

5. 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

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

7. Test Method YXYX Z0Z0 ZpZp Test Set Model Test Method

8. Study Area

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

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

11. 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]

12. 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

13. 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

14. 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

15. 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

16. Results - Analyses Influence Pattern Influence Test Set Influence Point Density

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

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

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