Dina Research School

Workshop: Spatial Interpolation and Kriging

Koldkærgård Landboskole, May 23-24 2006

Preliminary programme

Tuesday May 23

11:00
Arrival and accommodation
12:00
Lunch
13:00
Introduction and presentation of participants
Anders Ringgaard Kristensen, The Dina Research School
13:15
Theory session I: Approximation of functions in several variables.
Hans Bruun Nielsen, Informatics and Mathematical Modeling, DTU

The 'Curse of dimensionality' in connection with polynomials and multi-splines. The use of radial basis functions ( RBF).
14.00
Computer exercises followed by coffee break
15:15
Theory session II: Computational aspects.
Hans Bruun Nielsen

Focus on Kriging and RBF. Introduction to the Matlab toolbox DACE
16:00
Computer exercises using DACE followed by coffee break
17.15
Theory session III: Smoothing Triangle Meshes and Variational Subdivision
Jakob Andreas Bærentsen, Informatics and Mathematical Modeling, DTU

In the first half of this talk, techniques for removing noise from triangle meshes are discussed. By iteratively applying mesh smoothing it turns out that we can obtain an energy minimizing surface which, in some cases, is the same surface we would have obtained with thin plate splines. This leads to a technique called variational subdivision which is the topic of the second half of the talk.
18:00
Dinner
19:00
Case study I: New Danish Soil Map - from Choropleth Map to Raster Texture Layers
Mette Balslev Grove og Mogens Humlekrog Grove, Danish Institute of Agricultural Sciences
19:45
Computer exercises based on DACE
21:45
Coffee and sandwich

Wednesday May 24

7:45
Breakfast
8:30
Discussion of computer exercises
8:45
Theory session IV: Measuring Curvature in Triangle Meshes.
Jakob Andreas Bærentsen

Triangle meshes are piecewise planar, and at any point of a triangle mesh the curvature is either zero or undefined. However, curvature integrated over parts of a triangle mesh is well-defined, and in this talk methods for computing (integral) curvature from triangle meshes are presented. As an application, we discuss the optimization of triangle meshes by the following procedure: Keep vertices fixed and change the vertex connectivity to minimize some curvature measure.
9:30
Coffee break
10:00
Computer exercises
11:00
Case study II: Spatial interpolation and yield mapping (tentative title)
Frede Aakmann Tøgersen, Danish Institute of Agricultural Sciences
11:45
Discussion and closing
Anders Ringgaard Kristensen, The Dina Research School
12:00
Lunch and departure

Dina logoAuthor: phd@dina.kvl.dk. Updated: 11 april 2006