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ODV Gridding Methods. Reiner Schlitzer Alfred Wegener Institute for Polar and Marine Research. Data Visualization – Honest Way. Data Visualization – Gridded Field. Grid Value Estimation by Weighted Averaging. Gridding Algorithm. Requirements: easy-to-use, fast and „reliable“, - PowerPoint PPT Presentation
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Reiner SchlitzerReiner Schlitzer
Alfred Wegener Institute for Polar and Marine ResearchAlfred Wegener Institute for Polar and Marine Research
ODV Gridding MethodsODV Gridding Methods
Data Visualization – Honest WayData Visualization – Honest Way
Data Visualization – Gridded FieldData Visualization – Gridded Field
Requirements: Requirements: • easy-to-use,easy-to-use, fast and „reliable“, fast and „reliable“, • usable for large datasets of >100000 pointsusable for large datasets of >100000 points
Grid Value Estimation by Weighted AveragingGrid Value Estimation by Weighted Averaging
i
ii
w
dwestimate
Gridding AlgorithmGridding Algorithm
ri ew
22yx LyLxr
Variable Resolution GridVariable Resolution Grid
Data Visualization (2)Data Visualization (2)
„„Honest“ WayHonest“ Way Gridded FieldGridded Field
Gridding MethodsGridding Methods
Gridding is …Gridding is …• important and definitely neededimportant and definitely needed• challenging mathematical problemchallenging mathematical problem• obtaining reliable fields is an „art“obtaining reliable fields is an „art“
Inverse distance weightingInverse distance weighting Pros: Pros: fast, good results for homogenous data fast, good results for homogenous data coveragecoverage
Cons: Cons: erodes extrema; poor results for sparse and erodes extrema; poor results for sparse and inhomogenous data coverageinhomogenous data coverage
Objective analysisObjective analysis Pros: Pros: optimal estimationoptimal estimation
Cons:Cons: very slow, requires knowledge of data very slow, requires knowledge of data statistics, „small“ datasets onlystatistics, „small“ datasets only
MethodsMethods
Variational data Variational data interpolation (DIVA)interpolation (DIVA)
Pros: Pros: quite fast,quite fast, optimal estimation, supports optimal estimation, supports domain separation, anisotropic statistics and domain separation, anisotropic statistics and rotated correlation ellipsesrotated correlation ellipses
DIVADIVA
•Developed at U LiegeDeveloped at U Liege
•2-Step procedure:2-Step procedure:(1) Triangular mesh generation on possibly (1) Triangular mesh generation on possibly complex domain(s)complex domain(s)
(2) Variational fitting to data and estimation (2) Variational fitting to data and estimation at arbitrary pointsat arbitrary points
•Supports:Supports:(1) Variable mesh resolution(1) Variable mesh resolution
(2) Multiple sub-domains(2) Multiple sub-domains
(3) Anisotropic statistics (3) Anisotropic statistics
http://modb.oce.ulg.ac.be/projects/SeaDataNet/DivaUserGuide2008.pdfhttp://modb.oce.ulg.ac.be/projects/SeaDataNet/DivaUserGuide2008.pdf
DIVA Integration in ODVDIVA Integration in ODV
ODV will automatically…ODV will automatically…
•create all files for DIVAcreate all files for DIVA
•run DIVA mesh generation and estimationrun DIVA mesh generation and estimation
•read and display the gridded fieldread and display the gridded field
Domain Example 1Domain Example 1
Domain Example 2Domain Example 2
East AtlanticEast AtlanticWest AtlanticWest Atlantic
Example (1) - Example (1) - Separating domains…Separating domains…
Example (2) - Example (2) - Maintaining extremes…Maintaining extremes…
Example (3) - Example (3) - Filling large gaps…Filling large gaps…
AvailabilityAvailability
http://odv.awi.dehttp://odv.awi.de
Download and install latest version of ODV 4.5. 0. Download and install latest version of ODV 4.5. 0.
DIVA is included.DIVA is included.
Available for Windows, Mac OS X, and Linux.Available for Windows, Mac OS X, and Linux.