org.jscience.mathematics.geometry
Class SurfaceOfRevolution3D

java.lang.Object
  extended by org.jscience.mathematics.geometry.GeometryElement
      extended by org.jscience.mathematics.geometry.AbstractParametricSurface
          extended by org.jscience.mathematics.geometry.ParametricSurface3D
              extended by org.jscience.mathematics.geometry.SweptSurface3D
                  extended by org.jscience.mathematics.geometry.SurfaceOfRevolution3D
All Implemented Interfaces:
java.io.Serializable

public class SurfaceOfRevolution3D
extends SweptSurface3D

�R���� : ��]�ʂ�\���N���X?B

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���̃N���X�̃C���X�^���X��?A ��]������ׂ��R������?� sweptCurve �� ��]�̒�?S�����z�u?�� (��?�?W�n, Axis1Placement3D) axisPosition ��ێ?����?B ������?AsweptCurve �� �X?[�p?[�N���X ��ŕێ?�����?B

��]�ʂ� U ���̃p���??[�^��`��͗L�Ŏ��I�ł���?A ���̃v���C�}���ȗL���Ԃ� [0, (2 * ��)] �ł���?B V ���̃p���??[�^��`���?AsweptCurve �̃p���??[�^��`��Ɉ�v����?B

(u, v) ��p���??[�^�Ƃ����]�� P(u, v) �̃p���?�g���b�N�\����?A�ȉ��̒ʂ�?B

        P(u, v) = c + m(u) * cos(v) + ((m(u), d) * d * (1 - cos(v)) + (d X m(u)) * sin(v)
 
������
        c = axisPosition.location()
        d = axisPosition.z()
        m(u) = sweptCurve(u) - c
        (a, b) : a, b �̓�?�
        (a X b) : a, b �̊O?�
 
��\��?B

See Also:
Serialized Form

Constructor Summary
SurfaceOfRevolution3D(ParametricCurve3D sweptCurve, Axis1Placement3D axisPosition)
          ��]�������?
 
Method Summary
 Line3D axisLine()
          ���̋Ȗʂ̉�]�̒�?
 Axis1Placement3D axisPosition()
          ���̋Ȗʂ̉�]�̒�?
 Point3D coordinates(double uParam, double vParam)
          ���̋Ȗʂ�?
protected  ParametricSurface3D doTransformBy(boolean reverseTransform, CartesianTransformationOperator3D transformationOperator, java.util.Hashtable transformedGeometries)
          ���̋Ȗʂ�?
 SurfaceDerivative3D evaluation(double uParam, double vParam)
          ���̋Ȗʂ�?
 BsplineSurface3D offsetByBsplineSurface(ParameterSection uPint, ParameterSection vPint, double magni, int side, ToleranceForDistance tol)
          ���̋Ȗʂ̎w��� (�p���??
protected  void output(java.io.PrintWriter writer, int indent)
          ?
 PointOnSurface3D[] projectFrom(Point3D point)
          �^����ꂽ�_���炱�̋Ȗʂւ̓��e�_��?
 Vector3D[] tangentVector(double uParam, double vParam)
          ���̋Ȗʂ�?
 BsplineSurface3D toBsplineSurface(ParameterSection uPint, ParameterSection vPint)
          ���̋Ȗʂ̎w��� (�p���??
 Mesh3D toMesh(ParameterSection uPint, ParameterSection vPint, ToleranceForDistance tol)
          ���̋Ȗʂ̎w��� (�p���??
 java.util.Vector toNonStructuredPoints(ParameterSection uParameterSection, ParameterSection vParameterSection, double tolerance, double[] scalingFactor)
          ���̋Ȗʂ̎w��� (�p���??
 ParametricCurve3D uIsoParametricCurve(double uParam)
          ���̋Ȗʂ� U �p���??
 ParametricCurve3D vIsoParametricCurve(double vParam)
          ���̋Ȗʂ� V �p���??
 
Methods inherited from class org.jscience.mathematics.geometry.SweptSurface3D
intersect, intersect, isFreeform, sweptCurve
 
Methods inherited from class org.jscience.mathematics.geometry.ParametricSurface3D
curvature, dimension, fillet, is3D, nearestProjectFrom, nearestProjectWithDistanceFrom, normalVector, pointToParameter, reverseTransformBy, transformBy, transformBy
 
Methods inherited from class org.jscience.mathematics.geometry.AbstractParametricSurface
checkUValidity, checkUValidity, checkVValidity, checkVValidity, isParametric, isSurface, isUFinite, isUInfinite, isUNonPeriodic, isUPeriodic, isValidUParameter, isValidVParameter, isVFinite, isVInfinite, isVNonPeriodic, isVPeriodic, uParameterDomain, vParameterDomain
 
Methods inherited from class org.jscience.mathematics.geometry.GeometryElement
getClassName, getToleranceForAngle, getToleranceForAngleAsObject, getToleranceForDistance, getToleranceForDistance2, getToleranceForDistanceAsObject, getToleranceForParameter, getToleranceForParameterAsObject, getToleranceForRealNumber, getToleranceForRealNumberAsObject, is1D, is2D, isCurve, isPlacement, isPoint, isTransformationOperator, isVector, makeIndent, output
 
Methods inherited from class java.lang.Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait
 

Constructor Detail

SurfaceOfRevolution3D

public SurfaceOfRevolution3D(ParametricCurve3D sweptCurve,
                             Axis1Placement3D axisPosition)
��]�������?�Ɖ�]�̒�?S����^���ăI�u�W�F�N�g��?\�z����?B

sweptCurve ���邢�� axisPosition �� null ��?�?��ɂ� InvalidArgumentValueException �̗�O��?�����?B

Parameters:
sweptCurve - ��]�������?�
axisPosition - ��]�̒�?S��
See Also:
InvalidArgumentValueException
Method Detail

axisPosition

public Axis1Placement3D axisPosition()
���̋Ȗʂ̉�]�̒�?S�����z�u?���Ԃ�?B

Returns:
��]�̒�?S�����z�u?��

axisLine

public Line3D axisLine()
���̋Ȗʂ̉�]�̒�?S����\����?��Ԃ�?B

Returns:
��]�̒�?S����\����?�

coordinates

public Point3D coordinates(double uParam,
                           double vParam)
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�^����ꂽ�p���??[�^�l����`���O��Ă���?�?��ɂ�?A ParameterOutOfRange �̗�O��?�����?B

Specified by:
coordinates in class ParametricSurface3D
Parameters:
uParam - U ���̃p���??[�^�l
vParam - V ���̃p���??[�^�l
Returns:
?W�l
See Also:
ParameterOutOfRange

tangentVector

public Vector3D[] tangentVector(double uParam,
                                double vParam)
���̋Ȗʂ�?A�^����ꂽ�p���??[�^�l�ł�?ڃx�N�g����Ԃ�?B

�����ł�?ڃx�N�g���Ƃ�?A�p���??[�^ U/V �̊e?X�ɂ‚��Ă̈ꎟ�Γ���?��ł���?B

���ʂƂ��ĕԂ�z��̗v�f?��� 2 �ł���?B �z���?�?��̗v�f�ɂ� U �p���??[�^�ɂ‚��Ă�?ڃx�N�g��?A ��Ԗڂ̗v�f�ɂ� V �p���??[�^�ɂ‚��Ă�?ڃx�N�g����܂�?B

�^����ꂽ�p���??[�^�l����`���O��Ă���?�?��ɂ�?A ParameterOutOfRange �̗�O��?�����?B

Specified by:
tangentVector in class ParametricSurface3D
Parameters:
uParam - U ���̃p���??[�^�l
vParam - V ���̃p���??[�^�l
Returns:
?ڃx�N�g��
See Also:
ParameterOutOfRange

evaluation

public SurfaceDerivative3D evaluation(double uParam,
                                      double vParam)
���̋Ȗʂ�?A�^����ꂽ�p���??[�^�l�ł̕Γ���?���Ԃ�?B

�^����ꂽ�p���??[�^�l����`���O��Ă���?�?��ɂ�?A ParameterOutOfRange �̗�O��?�����?B

Specified by:
evaluation in class ParametricSurface3D
Parameters:
uParam - U ���̃p���??[�^�l
vParam - V ���̃p���??[�^�l
Returns:
����?�
See Also:
ParameterOutOfRange

projectFrom

public PointOnSurface3D[] projectFrom(Point3D point)
                               throws IndefiniteSolutionException
�^����ꂽ�_���炱�̋Ȗʂւ̓��e�_��?�߂�?B

���e�_����?݂��Ȃ��Ƃ��͒��� 0 �̔z���Ԃ�?B

point ����?A���̋Ȗʂ̉�]�̒�?S���ւ̋����� ��?�?ݒ肳��Ă��鉉�Z?�?�̋����̋��e��?�����?�����?�?��ɂ� ��s��Ƃ��� IndefiniteSolutionException �̗�O��?�����?B

Specified by:
projectFrom in class ParametricSurface3D
Parameters:
point - ���e���̓_
Returns:
���e�_�̔z��
Throws:
IndefiniteSolutionException - �⪕s��ł��� (��?��̉⪑�?݂���)

toMesh

public Mesh3D toMesh(ParameterSection uPint,
                     ParameterSection vPint,
                     ToleranceForDistance tol)
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���ʂƂ��ĕԂ����i�q�_�Q��?\?�����_��?A ���̋Ȗʂ�x?[�X�Ƃ��� PointOnSurface3D �� ���邱�Ƃ��҂ł���?B

�^����ꂽ�p���??[�^��Ԃ���`���O��Ă���?�?��ɂ�?A ParameterOutOfRange �̗�O��?�����?B

Specified by:
toMesh in class ParametricSurface3D
Parameters:
uPint - U ���̃p���??[�^���
vPint - V ���̃p���??[�^���
tol - �����̋��e��?�
Returns:
���̋Ȗʂ̎w��̋�Ԃ𕽖ʋߎ�����i�q�_�Q
See Also:
PointOnSurface3D, ParameterOutOfRange

toBsplineSurface

public BsplineSurface3D toBsplineSurface(ParameterSection uPint,
                                         ParameterSection vPint)
���̋Ȗʂ̎w��� (�p���??[�^�I��) ��`��Ԃ쵖���?Č����� �L�? Bspline �Ȗʂ�Ԃ�?B

�^����ꂽ�p���??[�^��Ԃ���`���O��Ă���?�?��ɂ�?A ParameterOutOfRange �̗�O��?�����?B

Specified by:
toBsplineSurface in class ParametricSurface3D
Parameters:
uPint - U ���̃p���??[�^���
vPint - V ���̃p���??[�^���
Returns:
���̋Ȗʂ̎w��̋�Ԃ�?Č�����L�? Bspline �Ȗ�
See Also:
ParameterOutOfRange

offsetByBsplineSurface

public BsplineSurface3D offsetByBsplineSurface(ParameterSection uPint,
                                               ParameterSection vPint,
                                               double magni,
                                               int side,
                                               ToleranceForDistance tol)
���̋Ȗʂ̎w��� (�p���??[�^�I��) ��`��Ԃ�I�t�Z�b�g�����Ȗʂ� �^����ꂽ��?��ŋߎ����� Bspline �Ȗʂ�?�߂�?B

Specified by:
offsetByBsplineSurface in class ParametricSurface3D
Parameters:
uPint - U ���̃p���??[�^���
vPint - V ���̃p���??[�^���
magni - �I�t�Z�b�g��
side - �I�t�Z�b�g�̌� (WhichSide.FRONT/BACK)
tol - �����̋��e��?�
Returns:
���̋Ȗʂ̎w��̋�`��Ԃ̃I�t�Z�b�g�Ȗʂ�ߎ����� Bspline �Ȗ�
See Also:
WhichSide

uIsoParametricCurve

public ParametricCurve3D uIsoParametricCurve(double uParam)
Description copied from class: ParametricSurface3D
���̋Ȗʂ� U �p���??[�^���̈ʒu�ɂ��铙�p���??[�^��?��Ԃ���?ۃ?�\�b�h?B

Specified by:
uIsoParametricCurve in class ParametricSurface3D
Parameters:
uParam - U ���̃p���??[�^�l
Returns:
�w��� U �p���??[�^�l�ł̓��p���??[�^��?�

vIsoParametricCurve

public ParametricCurve3D vIsoParametricCurve(double vParam)
                                      throws ReducedToPointException
Description copied from class: ParametricSurface3D
���̋Ȗʂ� V �p���??[�^���̈ʒu�ɂ��铙�p���??[�^��?��Ԃ���?ۃ?�\�b�h?B

Specified by:
vIsoParametricCurve in class ParametricSurface3D
Parameters:
vParam - V ���̃p���??[�^�l
Returns:
�w��� V �p���??[�^�l�ł̓��p���??[�^��?�
Throws:
ReducedToPointException

toNonStructuredPoints

public java.util.Vector toNonStructuredPoints(ParameterSection uParameterSection,
                                              ParameterSection vParameterSection,
                                              double tolerance,
                                              double[] scalingFactor)
���̋Ȗʂ̎w��� (�p���??[�^�I��) ��`��Ԃ�?A �^����ꂽ��?��ŕ��ʋߎ�����_�Q��Ԃ�?B

?��?���ʂƂ��ē�����_�Q�͈�ʂ�?A�ʑ��I�ɂ�􉽓I�ɂ�?A�i�q?�ł͂Ȃ�?B

scalingFactor ��?A��͗p�ł͂Ȃ�?A?o�͗p�̈�?��ł���?B scalingFactor �ɂ�?A�v�f?� 2 �̔z���^����?B scalingFactor[0] �ɂ� U ����?k�ڔ{��?A scalingFactor[1] �ɂ� V ����?k�ڔ{�����Ԃ�?B �����̒l�͉��炩��?�Βl�ł͂Ȃ�?A �p���??[�^��?i�ޑ��x T �ɑ΂���?A U/V �����ɂ‚��Ď ��?�ŋȖ�?�̓_��?i�ޑ��x Pu/Pv ��\�����Βl�ł���?B �‚܂�?A�p���??[�^�� T ����?i�ނ�?A � ��?�ł̋Ȗ�?�̓_�� U ���ł� Pu (scalingFactor[0])?A V ���ł� Pv (scalingFactor[1]) ����?i�ނ��Ƃ�\���Ă���?B T �̑傫���͖�������Ȃ��̂�?A���̒l��Q?Ƃ���?ۂɂ�?A scalingFactor[0] �� scalingFactor[1] �̔䂾����p����ׂ��ł���?B �Ȃ�?A�����̒l�͂����܂ł�ڈł���?A�����ȑ��x����̂ł͂Ȃ�?B

���ʂƂ��ĕԂ� Vector �Ɋ܂܂��e�v�f�� ���̋Ȗʂ�x?[�X�Ƃ��� PointOnSurface3D �ł��邱�Ƃ���҂ł���?B

Specified by:
toNonStructuredPoints in class ParametricSurface3D
Parameters:
uParameterSection - U ���̃p���??[�^���
vParameterSection - V ���̃p���??[�^���
tolerance - �����̋��e��?�
scalingFactor - �_�Q��O�p�`��������?ۂɗL�p�Ǝv���� U/V ��?k�ڔ{��
Returns:
�_�Q��܂� Vector
See Also:
PointOnSurface3D

doTransformBy

protected ParametricSurface3D doTransformBy(boolean reverseTransform,
                                            CartesianTransformationOperator3D transformationOperator,
                                            java.util.Hashtable transformedGeometries)
���̋Ȗʂ�?A�^����ꂽ�􉽓I�ϊ����Z�q�ŕϊ�����?B

transformedGeometries ��?A �ϊ��O�̊􉽗v�f��L?[�Ƃ�?A �ϊ���̊􉽗v�f��l�Ƃ���n�b�V���e?[�u���ł���?B

this �� transformedGeometries ��ɃL?[�Ƃ��đ�?݂��Ȃ�?�?��ɂ�?A this �� transformationOperator �ŕϊ�������̂�Ԃ�?B ����?ۂɃ?�\�b�h�Ք�ł� this ��L?[?A �ϊ����ʂ�l�Ƃ��� transformedGeometries �ɒljB���?B

this �� transformedGeometries ��Ɋ�ɃL?[�Ƃ��đ�?݂���?�?��ɂ�?A ��?ۂ̕ϊ���?s�Ȃ킸?A���̃L?[�ɑΉ�����l��Ԃ�?B ����?��?��?ċA�I��?s�Ȃ���?B

transformedGeometries �� null �ł�?\��Ȃ�?B transformedGeometries �� null ��?�?��ɂ�?A ?�� this �� transformationOperator �ŕϊ�������̂�Ԃ�?B

Specified by:
doTransformBy in class ParametricSurface3D
Parameters:
reverseTransform - �t�ϊ�����̂ł���� true?A�����łȂ���� false
transformationOperator - �􉽓I�ϊ����Z�q
transformedGeometries - ��ɓ��l�̕ϊ���{�����􉽗v�f��܂ރn�b�V���e?[�u��
Returns:
�ϊ���̊􉽗v�f

output

protected void output(java.io.PrintWriter writer,
                      int indent)
?o�̓X�g��?[���Ɍ`?�?���?o�͂���?B

Specified by:
output in class GeometryElement
Parameters:
writer - PrintWriter
indent - �C���f���g��?[��
See Also:
GeometryElement