public class PwCurvature extends PsObject
PgElementSet
,
Serialized FormHAS_BOUNDARY_PANEL, HAS_CONFIG_PANEL, HAS_INFO_PANEL, HAS_LABEL_PANEL, HAS_MATERIAL_PANEL, HAS_TEXTURE_PANEL, HAS_VECTOR_PANEL, INSPECTOR_INFO, INSPECTOR_INFO_EXT, IS_DELETED, IS_FIXED, IS_FOCUSSED, IS_PICKED, IS_SELECTED, IS_USED, NUM_TAGS
Constructor and Description 

PwCurvature() 
Modifier and Type  Method and Description 

static double 
getGaussCurvature(PgElementSet geom,
int vertexInd,
int elemInd)
Compute discrete Gauss curvature at a vertex.

static double 
getGaussCurvature(PgElementSet geom,
PdVector gauss)
Compute discrete Gauss curvature at all vertices, and return total interior Gauss curvature.

static boolean 
getMeanCurvature(PgElementSet geom)
Compute and assign vertex normals as mean curvature vectors.

static PdVector 
getMeanCurvature(PgElementSet geom,
PdVector mean)
Compute the mean curvature at all vertices.

static PdVector[] 
getMeanCurvature(PgElementSet geom,
PdVector[] meanVec)
Compute discrete mean curvature at all vertices.

static void 
getPrincipalCurvatures(PgElementSet geom)
Computes the principal curvatures and directions at each vertex of the surface and add
two vector fields to the surface.

static void 
getPrincipalCurvatures(PgElementSet geom,
boolean divideByAreaOfStar)
Computes the principal curvatures and directions at each vertex of the surface and add
two vector fields to the surface.

static void 
getPrincipalCurvatures(PgElementSet geom,
PdMatrix[] shape,
PdVector[] pcValues,
PdVector[][] pcDirections)
Computes the principal curvatures and directions at each vertex of the surface.

static void 
getPrincipalCurvatures(PgElementSet geom,
PdMatrix[] shape,
PdVector[] pcValues,
PdVector[][] pcDirections,
boolean orderByAbsVal)
Computes the principal curvatures and directions at each vertex of the surface.

static void 
getPrincipalCurvatures(PgElementSet geom,
PdVector[] pcValues,
PdVector[][] pcDirections)
Computes the principal curvatures and directions at each vertex of the surface.

static PdMatrix[] 
getShapeOperator(PgElementSet geom,
double d) 
static PdMatrix[] 
getShapeOperator(PgElementSet geom,
PdMatrix[] shape)
Computes the shape operator at each vertex of the surface, represented as a (d,d) matrix
where d is the dimension of the ambient space.

static PdMatrix[] 
getShapeOperator(PgElementSet geom,
PdMatrix[] shape,
boolean projectToTangentPlane)
Computes the shape operator at each vertex of the surface, represented as a (d,d) matrix
where d is the dimension of the ambient space.

static void 
makeColorFromGaussCurvature(PgElementSet geom)
Show discrete Gauss curvature at all vertices and elements.

addInspector, addUpdateListener, assureInspector, clearTag, clone, clone, clone, copy, getFather, getInfoPanel, getInspector, getName, getNumObjects, getSymbol, hasInspector, hasTag, hasUpdateListener, init, instanceOf, instanceOf, newInspector, newInspector, removeInspector, removeInspector, removeUpdateListener, setName, setParent, setSymbol, setTag, toString, update, updatePanels
public static void makeColorFromGaussCurvature(PgElementSet geom)
getGaussCurvature(PgElementSet,PdVector)
.public static double getGaussCurvature(PgElementSet geom, PdVector gauss)
Note, polygonal faces with m>3 vertices are triangulated on the fly by cutting off the vertex with smallest vertex angle successively. This tries to ensure that the Gauss curvature is independent of the numbering of vertices inside an element, as it would depend on if we would use subtriangles {v[0],v[j],v[j+1]}.
getGaussCurvature(PgElementSet, int, int)
public static double getGaussCurvature(PgElementSet geom, int vertexInd, int elemInd)
Note, polygonal faces with more than tree vertices are triangulated on the fly by cutting off the vertex with smallest vertex angle successively. This tries to ensure that the Gauss curvature is independent of the numbering of vertices inside an element, as it would depend on if we would use subtriangles {v[0],v[j],v[j+1]}.
geom
 A PgElementSetvertexInd
 The index of a vertex in the element set.elemInd
 Index of element which references the vertex, might be 1.getGaussCurvature(PgElementSet, PdVector)
public static PdVector[] getMeanCurvature(PgElementSet geom, PdVector[] meanVec)
public static boolean getMeanCurvature(PgElementSet geom)
true
on success.public static PdVector getMeanCurvature(PgElementSet geom, PdVector mean)
Careful: If array 'mean' is too small then a new array with correct size is created, i.e. the array is not expanded.
Method requires existence of correct vertex normals to compute the sign. Mean curvature is negative of mean curvature vector has negative scalar product with vertex normal.
public static PdMatrix[] getShapeOperator(PgElementSet geom, PdMatrix[] shape)
PnMassMatrix.multInvMassMatrix(PgElementSet, PdMatrix[], boolean)
.public static PdMatrix[] getShapeOperator(PgElementSet geom, PdMatrix[] shape, boolean projectToTangentPlane)
PnMassMatrix.multInvMassMatrix(PgElementSet, PdMatrix[], boolean)
.
If the projection is enabled each matrix is transformed such that the trace of the
matrix is preserved and public static PdMatrix[] getShapeOperator(PgElementSet geom, double d)
public static void getPrincipalCurvatures(PgElementSet geom, PdVector[] pcValues, PdVector[][] pcDirections)
PnMassMatrix.multInvMassMatrix(PgElementSet, PdMatrix[], boolean)
.
If only the only the direction or the values are needed, the other argument can be null.geom
 geometry to operate on.pcValues
 array with length 2 and vector length equal to the number of vertices.pcDirections
 array with length [2][nov] where nov is the number of vertices. Each vector must have dimension equal to the dimension of the ambient space.public static void getPrincipalCurvatures(PgElementSet geom)
getPrincipalCurvatures(PgElementSet, boolean)
.
}.public static void getPrincipalCurvatures(PgElementSet geom, boolean divideByAreaOfStar)
public static void getPrincipalCurvatures(PgElementSet geom, PdMatrix[] shape, PdVector[] pcValues, PdVector[][] pcDirections)
PnMassMatrix.multInvMassMatrix(PgElementSet, PdMatrix[], boolean)
.
If only the only the direction or the values are needed, the other argument can be null.geom
 geometry to operate on.pcValues
 array with length 2 and vector length equal to the number of vertices.pcDirections
 array with length [2][nov] where nov is the number of vertices. Each vector must have dimension equal to the dimension of the ambient space.shape
 array of length equal to the number of vertices of the geometry. This argument can optionally be null.public static void getPrincipalCurvatures(PgElementSet geom, PdMatrix[] shape, PdVector[] pcValues, PdVector[][] pcDirections, boolean orderByAbsVal)
PnMassMatrix.multInvMassMatrix(PgElementSet, PdMatrix[], boolean)
.
If only the only the direction or the values are needed, the other argument can be null.geom
 geometry to operate on.pcValues
 array with length 2 and vector length equal to the number of vertices.pcDirections
 array with length [2][nov] where nov is the number of vertices. Each vector must have dimension equal to the dimension of the ambient space.shape
 array of length equal to the number of vertices of the geometry. This argument can optionally be null.orderByAbsVal
 true  principal curvature are ordered by their absolute value."