Tool Name	Thin Plate Spline (TIN)
Tool ID	2
Library ID	grid_spline
Version	1.0
Author(s)	O.Conrad (c) 2006

Description

Creates a 'Thin Plate Spline' function for each triangle of a TIN and uses it for subsequent gridding. The TIN is internally created from the scattered data points input. The 'Neighbourhood' option determines the number of points used for the spline generation. 'Immediate neighbourhood' includes the points of the triangle as well as the immediate neighbour points. 'Level 1' adds the neighbours of the immediate neighbourhood and 'level 2' adds the neighbours of 'level 1' neighbours too. A higher neighbourhood degree reduces sharp breaks but also increases the computation time.

References

Donato G., Belongie S. (2002): Approximation Methods for Thin Plate Spline Mappings and Principal Warps. In: Heyden, A., Sparr, G., Nielsen, M., Johansen, P. [Eds.]: Computer Vision - ECCV 2002: 7th European Conference on Computer Vision, Copenhagen, Denmark, May 28-31, 2002, Proceedings, Part III, Lecture Notes in Computer Science. Springer-Verlag Heidelberg; pp.21-31.

Elonen, J. (2005): Thin Plate Spline editor - an example program in C++. http://elonen.iki.fi/code/tpsdemo/index.html

Parameters

Name	Type	Identifier	Description	Constraints
Input
Points	shapes, input	SHAPES
Target System	grid, input, optional	TARGET_TEMPLATE	use this grid's system for output grids
Output
Target Grid	grid, output	TARGET_OUT_GRID
Options
Attribute	table field	FIELD
Target Grid System	choice	TARGET_DEFINITION		Available Choices: [0] user defined [1] grid or grid system Default: 0
Cellsize	floating point number	TARGET_USER_SIZE		Minimum: 0.000000 Default: 1.000000
West	floating point number	TARGET_USER_XMIN		Default: 0.000000
East	floating point number	TARGET_USER_XMAX		Default: 100.000000
South	floating point number	TARGET_USER_YMIN		Default: 0.000000
North	floating point number	TARGET_USER_YMAX		Default: 100.000000
Columns	integer number	TARGET_USER_COLS	Number of cells in East-West direction.	Minimum: 1 Default: 101
Rows	integer number	TARGET_USER_ROWS	Number of cells in North-South direction.	Minimum: 1 Default: 101
Rounding	boolean	TARGET_USER_FLAT	Round bounding coordinates to multiples of cell size. Ignored if cell size has decimal places.	Default: 1
Fit	choice	TARGET_USER_FITS		Available Choices: [0] nodes [1] cells Default: 0
Regularisation	floating point number	REGULARISATION		Minimum: 0.000000 Default: 0.000100
Neighbourhood	choice	LEVEL		Available Choices: [0] immediate [1] level 1 [2] level 2 Default: 1
Add Frame	boolean	FRAME		Default: 1