Functions | |
| boolvec * | points (const char *points_name="*") |
| boolvec * | points_add (REAL weight=1, const char *points_name="*") |
| boolvec * | points_leq (const char *points_name="*", REAL penalty_factor=0) |
| boolvec * | points_geq (const char *points_name="*", REAL penalty_factor=0) |
Detailed Description
Function Documentation
| boolvec* surfit::points | ( | const char * | points_name = "*" | ) |
- Tcl syntax:
- points points_name
- Description:
- Using this rule the resulting surface approximates points in least squares meaning. If each cell contains no more than one point, resulting surface interpolates points.
- Math:
- This command adds the following functional to the functional sequence:
where points with coordinates![\[ \Phi(u_{1,1},\ldots,u_{N,M}) = \sum_{p=1}^P \left( u_{i,j} - z_p \right)^2, \]](form_61.png)
are belong to the cells (i,j)
| boolvec* surfit::points_add | ( | REAL | weight = 1, |
| const char * | points_name = "*" |
||
| ) |
- Tcl syntax:
- points_add weight points_name
- Description:
- This function modifies previous (modifiable) rule by adding the points rule with some weight.
- Math:
- This command modifies previous functional
by adding 
:
where![\[ \Phi(u_{1,1},\ldots,u_{N,M}) = \Phi_0(u_{1,1},\ldots,u_{N,M}) + w\Phi_1(u_{1,1},\ldots,u_{N,M}), \]](form_65.png)
- informational weight,
where points with coordinates![\[ \Phi_1(u_{1,1},\ldots,u_{N,M}) = \sum_{p=1}^P \left( u_{i,j} - z_p \right)^2, \]](form_67.png)
are belong to the cells (i,j)
| boolvec* surfit::points_geq | ( | const char * | points_name = "*", |
| REAL | penalty_factor = 0 |
||
| ) |
- Tcl syntax:
- points_geq points_name penalty_factor
- Description:
- This rule adds the surface condition - "the surface should be greater than equal to points".
- Parameters
-
points_name name of points dataset penalty_factor parameter for penalty algorithm
- Math:
- This command adds the condition:
where points with coordinates![\[ u_{i,j} \geq z_p, \quad p=1,\ldots,P \]](form_69.png)
are belong to the cells (i,j)
| boolvec* surfit::points_leq | ( | const char * | points_name = "*", |
| REAL | penalty_factor = 0 |
||
| ) |
- Tcl syntax:
- points_leq points_name penalty_factor
- Description:
- This rule adds the surface condition - "the surface should be lower than equal to points".
- Parameters
-
points_name name of points dataset penalty_factor parameter for penalty algorithm
- Math:
- This command adds the condition:
where points with coordinates![\[ u_{i,j} \leq z_p, \quad p=1,\ldots,P \]](form_68.png)
are belong to the cells (i,j)