vgp.minimal.weier

Class PgWeierstrass

java.lang.Object

jv.object.PsObject

jv.project.PgGeometry

jv.geom.PgPointSet

jv.geom.PgElementSet

vgp.minimal.weier.PgWeierstrass

All Implemented Interfaces:

java.io.Serializable, java.lang.Cloneable, PsUpdateIf, PgGeometryIf

public class PgWeierstrass
extends PgElementSet

Class for computing minimal surfaces from Weierstrass functions.

See Also:

Serialized Form

Author:

Konrad Polthier and Ulrich Reitebuch

Version:

20.11.09, 2.30 revised (ur) Move center of gravity for Real and Imaginary Point Set to zero.
15.10.08, 2.20 revised (ur) Generation of default element textures added.
16.05.07, 2.10 revised (ur) Full revision.
09.04.07, 2.00 revised (kp) Major revision and class reorganization.
02.12.02, 1.30 revised (ur) Show global front and back colors by default.
19.10.00, 1.20 revised (ur) Show marked boundary for reflections by vertex tag.
06.10.99, 1.01 revised (ur) Compute connectivity anew after call of PgElementSet.close with next update.
01.06.99, 1.00 created (ur).

Field Summary

Fields inherited from class jv.object.PsObject

HAS_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

Fields inherited from interface jv.project.PgGeometryIf

AMBIENT_H2_HYPERBOLIC, AMBIENT_H3_HYPERBOLIC, AMBIENT_H4_HYPERBOLIC, AMBIENT_PROJECTIONS, AMBIENT_R1_EUCLIDEAN, AMBIENT_R2_EUCLIDEAN, AMBIENT_R3_EUCLIDEAN, AMBIENT_R4_EUCLIDEAN, AMBIENT_R5_EUCLIDEAN, AMBIENT_S1_SPHERE, AMBIENT_S2_SPHERE, AMBIENT_S3_SPHERE, AMBIENT_S4_SPHERE, AMBIENT_SPACES, BLEND_ALPHA, BLEND_MATERIAL, BLEND_REPLACE, FILTER_DIRECT, FILTER_LINEAR, FILTER_QUADRATIC, HAS_METHOD_MENU, INSPECTOR_CONTROL, INSPECTOR_CONTROL_EXT, INSPECTOR_MATERIAL, INSPECTOR_MATERIAL_EXT, INSPECTOR_TEXTURE, INSPECTOR_TEXTURE_EXT, LABEL_BASE, LABEL_CENTER, LABEL_HEAD, LABEL_MIDDLE, LABEL_TAIL, LABEL_TOP, m_numLabelTypes, METHOD_EXT, PERIODIC_BOTH, PERIODIC_HEIGHT, PERIODIC_NONE, PERIODIC_WIDTH, PROJ_KLEIN_BALL, PROJ_PARALLEL, PROJ_POINCARE_BALL, PROJ_STEREOGRAPHIC, PROJ_UPPER_HALFSPACE, SIDE_BACK, SIDE_BOTH, SIDE_FRONT, SIDE_NONE

Constructor Summary

Constructors

Constructor and Description
PgWeierstrass() Constructor

Method Summary

Modifier and Type	Method and Description
PuComplex[]	cIntegrate(int patchIndex, PuComplex zzStart, PuComplex zzEnd, PuComplex[] FStart, int discr) Complex integration by Riemann-summation ("TrapezIntegral"). !!!
boolean	close() Connectivity of the surface must be generated anew before call of PgElementSet.close().
void	computePart(PgWeierstrassDescr descr, PiVector partPath, int patchIndex, PuComplex[] fStart) Compute 3d-data Re and Im in a part by complex integration.
void	computePartReflection(int partNr) Get 3d-data Re and Im from an other part by reflection.
void	computeSurface(PgWeierstrassDescr descr) Copy 3d-data Re and Im from Re and Im in the parts of the surface.
void	computeSurface(PgWeierstrassDescr descr, PiVector partPath) Copy 3d-data Re and Im from Re and Im data in the patches of the surface.
void	computeVertices(PgWeierstrassDescr descr) Compute 3d-points of the surface from Re and Im data.
void	generateConnectivity(PgWeierstrassDescr descr) Generate connectivity of ElementSet by copying parts to one ElementSet.
void	generateConnectivity(PgWeierstrassDescr descr, PiVector partPath) Generate connectivity of ElementSet by copying parts to one ElementSet.
void	generateConnectivity(PgWeierstrassDescr descr, PiVector partPath, int partNr) Generate connectivity of one basis part of the surface by ElementSet.makeQuadrConn.
void	generatePartReflection(int partNr) Generate connectivity of one part of the surface by reflecting an existing part.
PgWeierstrassDescr	getDescr() Get surface descriptor.
void	init() Initialisation
void	markBnd(int ElementInd) Find boundary polygon touching element with given index.
void	setDescr(PgWeierstrassDescr descr) Set surface descriptor.
boolean	setSurfaceName(java.lang.String surface, java.lang.String baseSurfaceName) Find descriptor with given surfaceName.
boolean	showMarkedBnd() Select vertices of chosen boundary polygon.
boolean	update(java.lang.Object event) Update the class whenever a child has changed.

Methods inherited from class jv.geom.PgElementSet

addElement, addElement, allocateEdgeStars, applyModelingMatrix, assureBoundary, assureDimOfElements, assureEdgeColors, assureEdgeSizes, assureElementBackColors, assureElementColors, assureElementNormals, assureElementTextures, blend, buildPolygon, buildQuadr, buildQuadrFromCurve, buildTriangle, buildTriangleFromCurve, checkNeighbour, checkNeighbour, clearTagElement, clone, computeCone, computeCylinder, computeDisk, computePlane, computeRotation, computeSnail, computeSphere, computeTorus, copy, copyConnectivity, copyConnectivitySelect, copyElementSet, copyElementSetSelect, copySelect, fixBoundaries, flipEdges, flipOrientation, getArea, getAreaOfElement, getBoundaries, getCenterOfElement, getCreaseAngle, getDimOfElement, getDimOfElements, getEdge, getEdge, getEdgeColors, getEdgeLength, getEdgeSizes, getEdgeStar, getEdgeStars, getElement, getElementBackColor, getElementBackColors, getElementColor, getElementColors, getElementEdge, getElementEdges, getElementNormal, getElementNormals, getElements, getElementTexture, getElementTextures, getElementVertices, getElementWithVertex, getFVector, getGlobalBndColor, getGlobalBndSize, getGlobalBndTagColor, getGlobalEdgeColor, getGlobalEdgeSize, getGlobalEdgeTagColor, getGlobalElementBackColor, getGlobalElementColor, getGlobalElementNormalColor, getGlobalElementNormalLength, getGlobalElementNormalSize, getGlobalElementTagColor, getIndexOfBndPolygon, getJvx, getL2Matrix, getL2Norm, getMaxDimOfElements, getMaxNumElements, getNeighbour, getNeighbourLocInd, getNeighbours, getNumBoundaries, getNumBoundaryEdges, getNumBoundaryVertices, getNumEdges, getNumEdgeStars, getNumElementIndices, getNumElements, getNumUnusedVertices, getOppVertexInd, getOppVertexLocInd, getSavedElements, getSavedNumVertices, getSelectedBndPolygon, getVertexAngle, getVertexTextures, getVertexValence, getVolume, getVolumeOfElement, hasBoundary, hasEdgeColors, hasEdgeSizes, hasElementBackColors, hasElementColors, hasElementNormals, hasElementTextures, hasTagElement, intersectionWithLine, isConforming, isEnabledEdges, isShowingBackface, isShowingBoundaries, isShowingEdgeColorFromElements, isShowingEdgeColorFromVertices, isShowingEdgeColors, isShowingEdgeLabels, isShowingEdges, isShowingEdgeSizes, isShowingElementBackColor, isShowingElementBackColors, isShowingElementColorFromVertices, isShowingElementColors, isShowingElementFromVertexColors, isShowingElementLabels, isShowingElementNormalArrow, isShowingElementNormals, isShowingElements, isShowingElementTexture, isShowingElementTextures, isShowingSilhouette, isShowingSmoothEdgeColors, isShowingSmoothElementColors, isShowingSmoothLighting, isShowingTaggedBoundaries, isShowingTaggedEdges, isShowingTaggedElements, makeAlternatingQuadrConn, makeCylinderConn, makeEdgeStars, makeEdgeStarsFromNeighbour, makeElementColorsFromNormal, makeElementColorsFromXYZ, makeElementColorsFromZ, makeElementColorsFromZHue, makeElementFromVertexColors, makeElementFromVertexTexture, makeElementNormals, makeNeighbour, makeQuadrBnd, makeQuadrConn, makeQuadrElementTexture, makeTriangleBnd, makeTriangleConn, makeVertexFromElementColors, makeVertexNormals, markBoundary, merge, paint, printEdgeList, projectFromAmbientSpace, refineGlobalIntoFour, refineGlobalIntoFour, reflect, removeBoundaries, removeDeletedBoundaries, removeEdgeColors, removeEdgeSizes, removeElement, removeElementBackColors, removeElementColors, removeElementEdges, removeElementNormals, removeMarkedElements, removeMarkedVertices, removeTexture, removeUnusedVertices, resetBoundaryNormals, selectBndPolygon, setBoundary, setConforming, setCreaseAngle, setDimOfColors, setDimOfElement, setDimOfElements, setDimOfVectors, setDimOfVertices, setEdgeColors, setEdgeSizes, setEdgeStar, setElement, setElement, setElement, setElement, setElementBackColor, setElementBackColors, setElementColor, setElementColors, setElementEdges, setElementNormal, setElementNormals, setElements, setElementTexture, setElementTextures, setElementTexturesFromList, setElementVertices, setEnabledEdges, setGlobalBndColor, setGlobalBndSize, setGlobalBndTagColor, setGlobalEdgeColor, setGlobalEdgeSize, setGlobalEdgeTagColor, setGlobalElementBackColor, setGlobalElementColor, setGlobalElementNormalColor, setGlobalElementNormalLength, setGlobalElementNormalSize, setGlobalElementTagColor, setGlobalVertexNormalColor, setGlobalVertexNormalLength, setGlobalVertexNormalSize, setJvx, setMaxNumElements, setNeighbour, setNeighbours, setNumElements, setSavedElements, setSavedNumVertices, setTagElement, showBackface, showBoundaries, showEdgeColorFromElements, showEdgeColorFromVertices, showEdgeColors, showEdgeLabels, showEdges, showEdgeSizes, showElementBackColor, showElementBackColors, showElementColorFromVertices, showElementColors, showElementFromVertexColors, showElementLabels, showElementNormalArrow, showElementNormals, showElements, showElementTexture, showSilhouette, showSmoothEdgeColors, showSmoothElementColors, showSmoothLighting, showTaggedBoundaries, showTaggedEdges, showTaggedElements, showVertexTexture, toString, triangulate

Methods inherited from class jv.geom.PgPointSet

addGeometryItem, addVectorField, addVertex, applyAmbientMatrix, assureVertexColors, assureVertexNormals, assureVertexSizes, assureVertexTextures, clearTagVertex, getAmbientBounds, getBounds, getCenterOfBndBox, getCenterOfGravity, getDimOfColors, getDimOfTextures, getDimOfVectors, getEulerCharacteristic, getGlobalVectorColor, getGlobalVectorLength, getGlobalVectorSize, getGlobalVertexColor, getGlobalVertexNormalColor, getGlobalVertexNormalLength, getGlobalVertexNormalSize, getGlobalVertexSize, getGlobalVertexTagColor, getIndexOfVectorField, getMarkedVertices, getMarkedVertices, getMaxNumVertices, getNumVectorFields, getNumVertices, getSelectedVectorField, getShininess, getSpecularColor, getTexture, getTextureImage, getTextureImageName, getTransparency, getVectorField, getVectorField, getVertex, getVertexColor, getVertexColors, getVertexNormal, getVertexNormals, getVertexSize, getVertexSizes, getVertexTexture, getVertices, hasTagVertex, hasVertex, hasVertex, hasVertexColors, hasVertexNormals, hasVertexSizes, hasVertexTextures, isDefaultLabelEnabled, isEnabledIndexLabels, isShowingIndices, isShowingSingleVectorField, isShowingTaggedVertices, isShowingTransparency, isShowingVectorArrow, isShowingVectorArrows, isShowingVectorColors, isShowingVectorField, isShowingVectorFields, isShowingVertexColors, isShowingVertexLabels, isShowingVertexNormalArrow, isShowingVertexNormals, isShowingVertexOutline, isShowingVertexSizes, isShowingVertexTexture, isShowingVertices, makeColorFromVectorLength, makeQuadrVertexTexture, makeVertexColorsFromNormal, makeVertexColorsFromXYZ, makeVertexColorsFromZ, makeVertexColorsFromZHue, makeVertexTextureFromBndBox, makeVertexTextureFromCylinder, makeVertexTextureFromSphere, makeVertexTextureFromUV, projectToSphere, removeAllVectorFields, removeHiddenVectorFields, removeVectorField, removeVertex, removeVertexColors, removeVertexNormals, removeVertexSizes, scale, scale, selectVectorField, setCenterOfBndBox, setDefaultLabelEnabled, setDimOfTextures, setEnabledIndexLabels, setGlobalVectorColor, setGlobalVectorLength, setGlobalVectorSize, setGlobalVertexColor, setGlobalVertexSize, setGlobalVertexSize, setGlobalVertexTagColor, setMaxNumVertices, setNumVertices, setShininess, setSpecularColor, setState, setTagVertex, setTexture, setTextureImage, setTextureImageName, setTransparency, setVertex, setVertex, setVertex, setVertex, setVertexColor, setVertexColors, setVertexNormal, setVertexNormals, setVertexSize, setVertexSizes, setVertexTexture, setVertexTextures, setVertices, showIndices, showSingleVectorField, showTaggedVertices, showTransparency, showVectorArrow, showVectorArrows, showVectorColors, showVectorField, showVectorFields, showVertexColors, showVertexLabels, showVertexNormalArrow, showVertexNormals, showVertexOutline, showVertexSizes, showVertices, translate

Methods inherited from class jv.project.PgGeometry

addDisplay, addPolygon, clearTagPolygon, convertWorldToModel, fillMethodMenu, fillMethodMenu, getAmbientInvMatrix, getAmbientMatrix, getAmbientProjection, getAmbientSpace, getAuthorInfo, getAuthors, getCenter, getCenterOfElement, getControlPanel, getDiameter, getDimOfSimplex, getDimOfVertices, getDisplayList, getDisplays, getGeometryInfo, getLabelAttribute, getLabelColor, getLabelFont, getLabelSize, getLabelStyle, getMaterialPanel, getModelMatrix, getPolygon, getState, getTitle, getType, getVersion, getVersionType, hasAmbientMatrix, hasDisplay, hasModelMatrix, hasTagPolygon, isConfigurable, isEnabledInstanceSharing, isShowingBndBox, isShowingCenter, isShowingName, isShowingTitle, isVisible, removeDisplay, removeMethodMenus, removePolygon, setAmbientMatrix, setAmbientProjection, setAmbientSpace, setAuthorInfo, setAuthors, setCenter, setDimOfSimplex, setEnabledInstanceSharing, setGeometryInfo, setLabelAttribute, setLabelAttribute, setLabelColor, setLabelFont, setLabelSize, setLabelStyle, setModelMatrix, setPolygon, setTagPolygon, setTitle, setType, setVersion, setVersionType, setVisible, showBndBox, showCenter, showName, showTitle

Methods inherited from class jv.object.PsObject

addInspector, addUpdateListener, assureInspector, clearTag, clone, clone, getFather, getInfoPanel, getInspector, getName, getNumObjects, getSymbol, hasInspector, hasTag, hasUpdateListener, instanceOf, instanceOf, newInspector, newInspector, removeInspector, removeInspector, removeUpdateListener, setName, setParent, setSymbol, setTag, updatePanels

Methods inherited from class java.lang.Object

equals, getClass, hashCode, notify, notifyAll, wait, wait, wait

Methods inherited from interface jv.project.PgGeometryIf

assureInspector, getInfoPanel, getName, hasTag, setName

Methods inherited from interface jv.object.PsUpdateIf

getFather, setParent

Constructor Detail

PgWeierstrass

public PgWeierstrass()

Constructor

Method Detail

init

public void init()

Initialisation

Overrides:

init in class PgElementSet

update

public boolean update(java.lang.Object event)

Update the class whenever a child has changed. Method is usually invoked from the children.

Specified by:

update in interface PsUpdateIf

Overrides:

update in class PgElementSet

Parameters:

event - carries a lot of information

Returns:

true if event has been handled, otherwise false

See Also:

PsObject.setParent(PsUpdateIf), PsObject.getFather(), PsObject.addUpdateListener(PsUpdateIf)

setSurfaceName

public boolean setSurfaceName(java.lang.String surface,
                              java.lang.String baseSurfaceName)

Find descriptor with given surfaceName.

getDescr

public PgWeierstrassDescr getDescr()

Get surface descriptor.

setDescr

public void setDescr(PgWeierstrassDescr descr)

Set surface descriptor.

generateConnectivity

public void generateConnectivity(PgWeierstrassDescr descr)

Generate connectivity of ElementSet by copying parts to one ElementSet.

generateConnectivity

public void generateConnectivity(PgWeierstrassDescr descr,
                                 PiVector partPath)

Generate connectivity of ElementSet by copying parts to one ElementSet.

Author:

Ulrich Reitebuch

Version:

01.06.99, 1.00 created (ur).

generateConnectivity

public void generateConnectivity(PgWeierstrassDescr descr,
                                 PiVector partPath,
                                 int partNr)

Generate connectivity of one basis part of the surface by ElementSet.makeQuadrConn.

Author:

Ulrich Reitebuch

Version:

01.06.99, 1.00 created (ur).

generatePartReflection

public void generatePartReflection(int partNr)

Generate connectivity of one part of the surface by reflecting an existing part.

Author:

Ulrich Reitebuch

Version:

01.06.99, 1.00 created (ur).

computeSurface

public void computeSurface(PgWeierstrassDescr descr)

Copy 3d-data Re and Im from Re and Im in the parts of the surface.

computeSurface

public void computeSurface(PgWeierstrassDescr descr,
                           PiVector partPath)

Copy 3d-data Re and Im from Re and Im data in the patches of the surface.

Author:

Ulrich Reitebuch

Version:

01.06.99, 1.00 created (ur).

computeVertices

public void computeVertices(PgWeierstrassDescr descr)

Compute 3d-points of the surface from Re and Im data.

Author:

Ulrich Reitebuch

Version:

01.06.99, 1.00 created (ur).

computePart

public void computePart(PgWeierstrassDescr descr,
                        PiVector partPath,
                        int patchIndex,
                        PuComplex[] fStart)

Compute 3d-data Re and Im in a part by complex integration.

Author:

Ulrich Reitebuch

Version:

01.06.99, 1.00 created (ur).

cIntegrate

public PuComplex[] cIntegrate(int patchIndex,
                              PuComplex zzStart,
                              PuComplex zzEnd,
                              PuComplex[] FStart,
                              int discr)

Complex integration by Riemann-summation ("TrapezIntegral"). !!! - Should be replaced by some more sophisticated integrator.

Author:

Ulrich Reitebuch

Version:

01.06.99, 1.00 created (ur).

computePartReflection

public void computePartReflection(int partNr)

Get 3d-data Re and Im from an other part by reflection.

Author:

Ulrich Reitebuch

Version:

01.06.99, 1.00 created (ur).

showMarkedBnd

public boolean showMarkedBnd()

Select vertices of chosen boundary polygon.

Author:

Ulrich Reitebuch

Version:

02.12.02, 1.30 revised (ur) Don't use PiVector.m_data.length.
19.10.00, 1.20 revised (ur) Show marked boundary for reflections by vertex tag.
01.06.99, 1.00 created (ur).

markBnd

public void markBnd(int ElementInd)

Find boundary polygon touching element with given index.

Author:

Ulrich Reitebuch

Version:

19.10.00, 1.20 revised (ur) Show marked boundary for reflections by vertex tag.
01.06.99, 1.00 created (ur).

close

public boolean close()

Connectivity of the surface must be generated anew before call of PgElementSet.close().

Overrides:

close in class PgElementSet

Returns:

true if successful

See Also:

PgElementSet.close()