Thin Plate Spline (TIN)

Author: O.Conrad (c) 2006
Menu: Grid | Gridding | Spline Interpolation

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`	-	-
Input	Target System	grid, input, optional, CMD	`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
	Fit	choice	`TARGET_USER_FITS`	-	Available Choices: [0] nodes [1] cells Default: 0
	Grid System	grid system	`TARGET_SYSTEM`	-	-
	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

Command Line

Usage: saga_cmd grid_spline 2 [-SHAPES ] [-FIELD ] [-TARGET_DEFINITION ] [-TARGET_USER_SIZE ] [-TARGET_USER_XMIN ] [-TARGET_USER_XMAX ] [-TARGET_USER_YMIN ] [-TARGET_USER_YMAX ] [-TARGET_USER_COLS ] [-TARGET_USER_ROWS ] [-TARGET_USER_FITS ] [-TARGET_TEMPLATE ] [-TARGET_OUT_GRID ] [-REGULARISATION ] [-LEVEL ] [-FRAME ]
  -SHAPES:             	Points
	shapes, input
  -FIELD:              	Attribute
	table field
  -TARGET_DEFINITION:  	Target Grid System
	choice
	Available Choices:
	[0] user defined
	[1] grid or grid system
	Default: 0
  -TARGET_USER_SIZE:	Cellsize
	floating point number
	Minimum: 0.000000
	Default: 1.000000
  -TARGET_USER_XMIN:	West
	floating point number
	Default: 0.000000
  -TARGET_USER_XMAX:	East
	floating point number
	Default: 100.000000
  -TARGET_USER_YMIN:	South
	floating point number
	Default: 0.000000
  -TARGET_USER_YMAX:	North
	floating point number
	Default: 100.000000
  -TARGET_USER_COLS:   	Columns
	integer number
	Minimum: 1
	Default: 101
  -TARGET_USER_ROWS:   	Rows
	integer number
	Minimum: 1
	Default: 101
  -TARGET_USER_FITS:   	Fit
	choice
	Available Choices:
	[0] nodes
	[1] cells
	Default: 0
  -TARGET_TEMPLATE:    	Target System
	grid, input, optional, CMD
  -TARGET_OUT_GRID:    	Target Grid
	grid, output
  -REGULARISATION:  	Regularisation
	floating point number
	Minimum: 0.000000
	Default: 0.000100
  -LEVEL:              	Neighbourhood
	choice
	Available Choices:
	[0] immediate
	[1] level 1
	[2] level 2
	Default: 1
  -FRAME:              	Add Frame
	boolean
	Default: 1