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expander [2013/05/07 14:11]
admin [Outputs]
expander [2015/10/12 00:08] (current)
admin
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 ===== Inputs ===== ===== Inputs =====
  
-^ Name ^ Type ^ Description ^ +^ Name  ^ Type  ^ Description ​ 
-| Landscape ​ | [[Categorical Map Type|Categorical Map]]  | Map of classes or categories. ​ | +| Landscape ​ | [[Categorical Map Type]] ​ | Map of classes or categories. ​ | 
-| Probabilities ​ | [[Map Type|Map]]  | Map of spatial probabilities. ​ | +| Probabilities ​ | [[Map Type]] ​ | Map of spatial probabilities. ​ | 
-| Changes ​ | [[Change Matrix Type|Change Matrix]]  | Matrix of number of changes. ​ | +| Changes ​ | [[Change Matrix Type]] ​ | Matrix of number of changes. ​ | 
-| Transition Parameters ​ | [[Transition Function Parameter Matrix Type|Transition Function Parameter Matrix]]  | Matrix of transition function parameters consisting of Mean Patch size, Patch size variance, and isometry. By varying these parameters, various spatial patterns can be reproduced (see examples on [[http://​www.csr.ufmg.br/​dinamica/​spatialpatterns/​spatialpatterns.html|Dinamica collection ​of spatial patterns]]). Increase the patch size for a less-fragmented landscape. Increase the patch size variance for a more diverse landscape, and set isometry greater than one for more isometric patches. ​Tipically, the isometry defines the aggregation level of a patch. Assuming that v is the current isometry value, 0<v<1 forces disaggregation,​ v>1 forces aggregation and v=1 is ignored. ​ |+| Transition Parameters ​ | [[Transition Function Parameter Matrix Type]] ​ | Matrix of transition function parameters consisting of Mean Patch size, Patch size variance, and isometry. By varying these parameters, various spatial patterns can be reproduced (see examples on [[patterns_of_change|Patterns ​of Change]]). Increase the patch size for a less-fragmented landscape. Increase the patch size variance for a more diverse landscape, and set isometry greater than one for more isometric patches. ​Typically, the isometry defines the aggregation level of a patch. Assuming that v is the current isometry value, 0<v<1 forces disaggregation,​ v>1 forces aggregation and v=1 is ignored. ​The mean patch size and the variance define the size of the patches that will be added to existent ones. | 
 ===== Optional Inputs ===== ===== Optional Inputs =====
  
 ^ Name ^ Type ^ Description ^ Default Value ^ ^ Name ^ Type ^ Description ^ Default Value ^
-| Neighbor Window Lines  | [[Positive ​Int Type|Positive Int]]  | Number of lines and columns of the neighbor search window. Patches can be created in a diffuse way by increasing the neighbor search window to values greater than 3 for lines and columns; a 3x3 window corresponds to the Moore neighborhood. ​ | 3  | +| Neighbor Window Lines  | [[Positive ​Integer Value Type]] ​ | Number of lines and columns of the neighbor search window. Patches can be created in a diffuse way by increasing the neighbor search window to values greater than 3 for lines and columns; a 3x3 window corresponds to the Moore neighborhood. ​ | 3  | 
-| Neighbor Window Columns ​ | [[Positive ​Int Type|Positive Int]]  | :::  | 3  | +| Neighbor Window Columns ​ | [[Positive ​Integer Value Type]] ​ | :::  | 3  | 
-| Prune Factor ​ | [[Double ​Type|Double]]  | A multiple of the quantity of cells to be changed. This is used in order to specify the size of the vector where cells are ranked for subsequent draw. Prune factor multiplies the expected number of cells to be changed to set the quantity of possible cells, based on their spatial probability,​ that take part in the selection mechanism of new patch nuclei. ​ | 10  |+| Prune Factor ​ | [[Real Value Type]] ​ | A multiple of the quantity of cells to be changed. This is used in order to specify the size of the vector where cells are ranked for subsequent draw. Prune factor multiplies the expected number of cells to be changed to set the quantity of possible cells, based on their spatial probability,​ that take part in the selection mechanism of new patch nuclei. Typically, increasing this value also increases the stochasticity of selection of patch pivot cells.  | 10  |
  
 ===== Outputs ===== ===== Outputs =====
  
-^ Name ^ Type ^ Description ^ +^ Name  ^ Type  ^ Description ​ 
-| Changed Landscape ​ | [[Categorical Map Type|Categorical Map]]  |  Map of classes or categories. ​ | +| Changed Landscape ​ | [[Categorical Map Type]] ​ | Map of classes or categories. ​ | 
-| Corroded Probabilities ​ | [[Map Type|Map]]  | Map of depleted spatial probabilities. Where a change occurred, the probability value is set to zero.  | +| Corroded Probabilities ​ | [[Map Type]] ​ | Map of depleted spatial probabilities. Where a change occurred, the probability value is set to zero.  | 
-| Remaining Changes ​ | [[Change Matrix Type|Change Matrix]]  | Matrix of number of remaining number of changes for each type of transition in case the functor does not succeed in making all the specified changes. ​ |+| Remaining Changes ​ | [[Change Matrix Type]] ​ | Matrix of number of remaining number of changes for each type of transition in case the functor does not succeed in making all the specified changes. ​ |
  
 ===== Group ===== ===== Group =====
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 [{{ :​expander001.gif?​nolink&​ |Transition probabilities after convoluting the expander kernel.}}] [{{ :​expander001.gif?​nolink&​ |Transition probabilities after convoluting the expander kernel.}}]
 +
 +See [[patterns_of_change|Patterns of Change]] for different examples of patches generated using [[Patcher]] and [[Expander]].
  
 ===== Internal Name =====  ===== Internal Name =====