LevelSetMesher¶
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class
LevelSetMesher
(*args)¶ Creation of mesh of box type.
 Available constructor:
LevelSetMesher(discretization)
 Parameters
 discretizationsequence of int, of dimension .
Discretization of the level set bounding box.
 solver
OptimizationAlgorithm
Optimization solver used to project the vertices onto the level set. It must be able to solve nearest point problems. Default is
AbdoRackwitz
.
Notes
The meshing algorithm is based on the
IntervalMesher
class. First, the bounding box of the level set (provided by the user or automatically computed) is meshed. Then, all the simplices with all vertices outside of the level set are rejected, while the simplices with all vertices inside of the level set are kept. The remaining simplices are adapted the following way :The mean point of the vertices inside of the level set is computed
Each vertex outside of the level set is projected onto the level set using a linear interpolation
If the project flag is True, then the projection is refined using an optimization solver.
Examples
Create a mesh:
>>> import openturns as ot >>> mesher = ot.LevelSetMesher([5, 10]) >>> level = 1.0 >>> function = ot.SymbolicFunction(['x0', 'x1'], ['x0^2+x1^2']) >>> levelSet = ot.LevelSet(function, ot.LessOrEqual(), level) >>> mesh = mesher.build(levelSet, ot.Interval([2.0]*2, [2.0]*2))
Methods
build
(self, \*args)Build the mesh of level set type.
getClassName
(self)Accessor to the object’s name.
getDiscretization
(self)Accessor to the discretization.
getId
(self)Accessor to the object’s id.
getName
(self)Accessor to the object’s name.
getOptimizationAlgorithm
(self)Accessor to the optimization solver.
getShadowedId
(self)Accessor to the object’s shadowed id.
getVisibility
(self)Accessor to the object’s visibility state.
hasName
(self)Test if the object is named.
hasVisibleName
(self)Test if the object has a distinguishable name.
setDiscretization
(self, discretization)Accessor to the discretization.
setName
(self, name)Accessor to the object’s name.
setOptimizationAlgorithm
(self, solver)Accessor to the optimization solver.
setShadowedId
(self, id)Accessor to the object’s shadowed id.
setVisibility
(self, visible)Accessor to the object’s visibility state.

__init__
(self, *args)¶ Initialize self. See help(type(self)) for accurate signature.

build
(self, *args)¶ Build the mesh of level set type.
 Parameters
 levelSet
LevelSet
The level set to be meshed, of dimension equal to the dimension of discretization.
 boundingBox
Interval
The bounding box used to mesh the level set.
 projectbool
Flag to tell if the vertices outside of the level set of a simplex partially included into the level set have to be projected onto the level set. Default is True.
 levelSet
 Returns
 mesh
Mesh
The mesh built.
 mesh

getClassName
(self)¶ Accessor to the object’s name.
 Returns
 class_namestr
The object class name (object.__class__.__name__).

getDiscretization
(self)¶ Accessor to the discretization.
 Returns
 discretization
Indices
Discretization of the bounding box of the level sets.
 discretization

getId
(self)¶ Accessor to the object’s id.
 Returns
 idint
Internal unique identifier.

getName
(self)¶ Accessor to the object’s name.
 Returns
 namestr
The name of the object.

getOptimizationAlgorithm
(self)¶ Accessor to the optimization solver.
 Returns
 solver
OptimizationAlgorithm
The optimization solver used to project vertices onto the level set.
 solver

getShadowedId
(self)¶ Accessor to the object’s shadowed id.
 Returns
 idint
Internal unique identifier.

getVisibility
(self)¶ Accessor to the object’s visibility state.
 Returns
 visiblebool
Visibility flag.

hasName
(self)¶ Test if the object is named.
 Returns
 hasNamebool
True if the name is not empty.

hasVisibleName
(self)¶ Test if the object has a distinguishable name.
 Returns
 hasVisibleNamebool
True if the name is not empty and not the default one.

setDiscretization
(self, discretization)¶ Accessor to the discretization.
 Parameters
 discretizationsequence of int
Discretization of the bounding box of the level sets.

setName
(self, name)¶ Accessor to the object’s name.
 Parameters
 namestr
The name of the object.

setOptimizationAlgorithm
(self, solver)¶ Accessor to the optimization solver.
 Parameters
 solver
OptimizationAlgorithm
The optimization solver used to project vertices onto the level set.
 solver

setShadowedId
(self, id)¶ Accessor to the object’s shadowed id.
 Parameters
 idint
Internal unique identifier.

setVisibility
(self, visible)¶ Accessor to the object’s visibility state.
 Parameters
 visiblebool
Visibility flag.