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 | - | - |
| 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