Tool Multilevel B-Spline Interpolation
Multilevel B-spline algorithm for spatial interpolation of scattered data as proposed by Lee, Wolberg and Shin (1997). The algorithm makes use of a coarse-to-fine hierarchy of control lattices to generate a sequence of bicubic B-spline functions, whose sum approaches the desired interpolation function. Large performance gains are realized by using B-spline refinement to reduce the sum of these functions into one equivalent B-spline function.
The 'Maximum Level' determines the maximum size of the final B-spline matrix and increases exponential with each level. Where level=10 requires about 1mb level=12 needs about 16mb and level=14 about 256mb(!) of additional memory.
Reference:
- Lee, S., Wolberg, G., Shin, S.Y. (1997): 'Scattered Data Interpolation with Multilevel B-Splines', IEEE Transactions On Visualisation And Computer Graphics, Vol.3, No.3
- Author: O.Conrad (c) 2006
- Menu: Grid|Gridding|Spline Interpolation
Parameters
| Name | Type | Identifier | Description | Constraints | |
|---|---|---|---|---|---|
| Input | Points | Shapes (input) | SHAPES | - | - |
| Target System (*) | Grid (optional input) | 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 | TARGET_USER_SIZE | - | Minimum: 0.000000 Default: 1.000000 | |
| Left | Floating point | TARGET_USER_XMIN | - | Default: 0.000000 | |
| Right | Floating point | TARGET_USER_XMAX | - | Default: 100.000000 | |
| Bottom | Floating point | TARGET_USER_YMIN | - | Default: 0.000000 | |
| Top | Floating point | TARGET_USER_YMAX | - | Default: 100.000000 | |
| Fit | Choice | TARGET_USER_FITS | - | Available Choices: [0] nodes [1] cells Default: 0 | |
| Grid System | Grid system | TARGET_SYSTEM | - | - | |
| Method | Choice | METHOD | - | Available Choices: [0] without B-spline refinement [1] with B-spline refinement Default: 1 | |
| Threshold Error | Floating point | EPSILON | - | Minimum: 0.000000 Default: 0.000100 | |
| Maximum Level | Integer | LEVEL_MAX | - | Minimum: 1 Maximum: 14 Default: 11 | |
| Update View | Boolean | UPDATE | - | Default: 0 | |
| (*) optional | |||||
Command-line
Usage: saga_cmd grid_spline 4 [-SHAPES <str>] [-FIELD <str>] [-TARGET_DEFINITION <str>] [-TARGET_USER_SIZE <double>] [-TARGET_USER_XMIN <double>] [-TARGET_USER_XMAX <double>] [-TARGET_USER_YMIN <double>] [-TARGET_USER_YMAX <double>] [-TARGET_USER_FITS <str>] [-TARGET_TEMPLATE <str>] [-TARGET_OUT_GRID <str>] [-METHOD <str>] [-EPSILON <double>] [-LEVEL_MAX <num>] -SHAPES:<str> Points Shapes (input) -FIELD:<str> Attribute Table field -TARGET_DEFINITION:<str> Target Grid System Choice Available Choices: [0] user defined [1] grid or grid system Default: 0 -TARGET_USER_SIZE:<double> Cellsize Floating point Minimum: 0.000000 Default: 1.000000 -TARGET_USER_XMIN:<double> Left Floating point Default: 0.000000 -TARGET_USER_XMAX:<double> Right Floating point Default: 100.000000 -TARGET_USER_YMIN:<double> Bottom Floating point Default: 0.000000 -TARGET_USER_YMAX:<double> Top Floating point Default: 100.000000 -TARGET_USER_FITS:<str> Fit Choice Available Choices: [0] nodes [1] cells Default: 0 -TARGET_TEMPLATE:<str> Target System Grid (optional input) -TARGET_OUT_GRID:<str> Target Grid Grid (output) -METHOD:<str> Method Choice Available Choices: [0] without B-spline refinement [1] with B-spline refinement Default: 1 -EPSILON:<double> Threshold Error Floating point Minimum: 0.000000 Default: 0.000100 -LEVEL_MAX:<num> Maximum Level Integer Minimum: 1 Maximum: 14 Default: 11