vgp.surface.common

Class PgSurface_LawsonHelicoid

java.lang.Object

jv.object.PsObject

jvx.surface.PgDomainDescr

vgp.surface.common.PgSurfaceDescr

vgp.surface.common.PgSurface_LawsonHelicoid

All Implemented Interfaces:

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

public class PgSurface_LawsonHelicoid
extends PgSurfaceDescr

Formula description of the family of minimal helicoids in the 3-sphere which was described by H.B. Lawson.

The parameter torsion controls the torsion of the helicoid, that is, how fast a circle is rotated while being moved along the axis circle. The axis is the circle axis(u)=F(u,0). Values of torsion = {0.5, 1., 2.} lead to {Klein Bottle, Clifford Torus, Non-orientable Snail}.

Parametrized surface given by method, or interactively, by function expressions. If the functions of a surface are specified in calc_f method and, later, interactively edited, then the interactive expressions are further used. This is important for evaluation of higher order differentials since they are only approximated using finite differences in the later case.

See Also:

Serialized Form

Author:

Konrad Polthier

Version:

02.08.03, 1.00 created (kp)

Field Summary

Fields inherited from class vgp.surface.common.PgSurfaceDescr

BASE_SURFACE_NAME, BOY, BREATHER, BREATHER_PQ, CATALAN, CATENOID_HELICOID, CATENOID_HELICOID_SCENE, CLIFFORD_TORUS, CONE, CONIC_TYPE, CYLINDER, DINI, DUPIN_CYCLOID, DUPIN_SCENE, ELLIPSOID, ELLIPTIC_PARABOLOID, ENNEPER, FOOTBALL_BARREL, FRESNEL1, FRESNEL2, H3_HYPERBOLIC_HELICOID, HENNEBERG, HYPERBOLIC_PARABLOID, HYPERBOLOID_SCENE, HYPERBOLOID_TYPE, KLEINBOTTLE, KUEN, LOWER_HYPERBOLOID, MOEBIUS_STRIP, OUTER_HYPERBOLOID, PSEUDOSPHERE, S3_HOPFTORUS, S3_LAWSON_HELICOID, SIEVERT, SPHERE, STEREOGRAPHIC_SPHERE, TANNERY, TORUS, UPPER_HYPERBOLOID, ZOLL

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

Constructor Summary

Constructors

Constructor and Description
PgSurface_LawsonHelicoid()

Method Summary

Modifier and Type	Method and Description
void	init() Initialize and reset data structure and all instance variables.
boolean	isUPeriodic() Determine if surface is periodic in u-direction.
boolean	isVPeriodic() Determine if surface is periodic in v-direction.
boolean	update(java.lang.Object event) Catch events from function strings.

Methods inherited from class vgp.surface.common.PgSurfaceDescr

addParameter, calc_f, christoffel, clone, copy, ddf_dUdU, ddf_dUdV, ddf_dVdV, df_dU, df_dV, df, dN_dU, dN_dV, dN, eval, firstFundamental, getAmbientProjection, getAmbientSpace, getDimOfSurface, getFunction, getListOfScenes, getListOfSurfaces, getParameter, getParameters, normal, secondFundamental, setAmbientProjection, setAmbientSpace, setDimOfSurface, setFunction, useFunctionExpression, useFunctionExpression, weingarten

Methods inherited from class jvx.surface.PgDomainDescr

eval, getNameOfLines, getNumULines, getNumVLines, getUMax, getUMin, getVMax, getVMin, isShowingULine, isShowingVLine, setDiscr, setDiscrBounds, setMaxSize, setNameOfLines, setNumULines, setNumVLines, setSize, setUMax, setUMin, setVMax, setVMin, showULine, showVLine, toString

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

Constructor Detail

PgSurface_LawsonHelicoid

public PgSurface_LawsonHelicoid()

Method Detail

init

public void init()

Description copied from class: PgDomainDescr

Initialize and reset data structure and all instance variables.

Overrides:

init in class PgSurfaceDescr

update

public boolean update(java.lang.Object event)

Description copied from class: PgSurfaceDescr

Catch events from function strings. 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 PgSurfaceDescr

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)

isUPeriodic

public boolean isUPeriodic()

Description copied from class: PgSurfaceDescr

Determine if surface is periodic in u-direction. This method returns false, but will be overwritten by surface which are periodic.

Overrides:

isUPeriodic in class PgSurfaceDescr

isVPeriodic

public boolean isVPeriodic()

Description copied from class: PgSurfaceDescr

Determine if surface is periodic in v-direction. This method returns false, but will be overwritten by surface which are periodic.

Overrides:

isVPeriodic in class PgSurfaceDescr