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Class ParametricSurface3D

JXG.GeometryElement
   ↳ JXG.Curve
      ↳ Curve
            ↳ ParametricSurface3D

This element creates a 3D parametric surface.

Defined in: surface3d.js.
Extends Curve.

Class Summary
Constructor Attributes Constructor Name and Description
 
ParametricSurface3D(FX,FY,FZ,rangeX,rangeY)
A 3D parametric surface is defined by a function F: R2 → R3.
Fields borrowed from class Curve:
curveType, doAdvancedPlot, doAdvancedPlotOld, firstArrow, handDrawing, lastArrow, numberPointsHigh, numberPointsLow, plotVersion, RDPsmoothing, recursionDepthHigh, recursionDepthLow
Fields borrowed from class JXG.Curve:
dataX, dataY, numberPoints, qdt, ticks
Fields borrowed from class JXG.GeometryElement:
_org_type, _pos, ancestors, baseElement, board, childElements, dash, descendants, draft, dragToTopOfLayer, dump, elementClass, elType, fillColor, fillOpacity, fixed, frozen, gradient, gradientAngle, gradientCX, gradientCY, gradientEndOffset, gradientFR, gradientFX, gradientFY, gradientR, gradientSecondColor, gradientSecondOpacity, gradientStartOffset, hasLabel, highlight, highlighted, highlightFillColor, highlightFillOpacity, highlightStrokeColor, highlightStrokeOpacity, highlightStrokeWidth, id, inherits, isDraggable, isReal, lastDragTime, methodMap, mouseover, name, needsRegularUpdate, needsUpdate, notExistingParents, numTraces, parents, precision, quadraticform, rendNode, rotatable, scalable, shadow, snapToGrid, stdform, strokeColor, strokeOpacity, strokeWidth, subs, symbolic, tabindex, trace, traceAttributes, traces, transformations, transitionDuration, type, visible, visProp, visPropCalc, withLabel
Fields borrowed from class Curve:
curveType, doAdvancedPlot, doAdvancedPlotOld, firstArrow, handDrawing, lastArrow, numberPointsHigh, numberPointsLow, plotVersion, RDPsmoothing, recursionDepthHigh, recursionDepthLow
Fields borrowed from class JXG.Curve:
dataX, dataY, numberPoints, qdt, ticks
Fields borrowed from class JXG.GeometryElement:
_org_type, _pos, ancestors, baseElement, board, childElements, dash, descendants, draft, dragToTopOfLayer, dump, elementClass, elType, fillColor, fillOpacity, fixed, frozen, gradient, gradientAngle, gradientCX, gradientCY, gradientEndOffset, gradientFR, gradientFX, gradientFY, gradientR, gradientSecondColor, gradientSecondOpacity, gradientStartOffset, hasLabel, highlight, highlighted, highlightFillColor, highlightFillOpacity, highlightStrokeColor, highlightStrokeOpacity, highlightStrokeWidth, id, inherits, isDraggable, isReal, lastDragTime, methodMap, mouseover, name, needsRegularUpdate, needsUpdate, notExistingParents, numTraces, parents, precision, quadraticform, rendNode, rotatable, scalable, shadow, snapToGrid, stdform, strokeColor, strokeOpacity, strokeWidth, subs, symbolic, tabindex, trace, traceAttributes, traces, transformations, transitionDuration, type, visible, visProp, visPropCalc, withLabel
Methods borrowed from class JXG.Curve:
addTransform, allocatePoints, generateTerm, getTransformationSource, hasPoint, interpolationFunctionFromArray, maxX, minX, moveTo, notifyParents, update, updateCurve, updateDataArray, updateRenderer, updateTransform, X, Y, Z
Methods borrowed from class JXG.GeometryElement:
_set, addChild, addDescendants, addParents, addRotation, addTicks, animate, bounds, clearTrace, cloneToBackground, countChildren, createGradient, createLabel, draggable, fullUpdate, generatePolynomial, getAttribute, getAttributes, getLabelAnchor, getName, getParents, getProperty, getSnapSizes, getTextAnchor, getType, handleSnapToGrid, hide, hideElement, labelColor, noHighlight, normalize, prepareUpdate, remove, removeAllTicks, removeChild, removeDescendants, removeTicks, resolveShortcuts, setArrow, setAttribute, setDash, setDisplayRendNode, setLabel, setLabelText, setName, setParents, setPosition, setPositionDirectly, setProperty, show, showElement, snapToPoints, updateVisibility
Events borrowed from class JXG.GeometryElement:
attribute, attribute:key, down, drag, mousedown, mousedrag, mousemove, mouseout, mouseover, mouseup, move, out, over, pendown, pendrag, penup, touchdown, touchdrag, touchup, up
Class Detail
ParametricSurface3D(FX,FY,FZ,rangeX,rangeY)
A 3D parametric surface is defined by a function F: R2 → R3.
Parameters:
{Function_Function_Function_Array_Array} FX,FY,FZ,rangeX,rangeY
FX(u,v), FY(u,v), FZ(u,v) are functions returning a number, rangeU is the array containing lower and upper bound for the range of parameter u, rangeV is the array containing lower and upper bound for the range of parameter v. rangeU and rangeV may also be functions returning an array of length two.


Throws:
{Exception}
If the element cannot be constructed with the given parent objects an exception is thrown.
Examples:
var view = board.create('view3d',
		        [[-6, -3], [8, 8],
		        [[-5, 5], [-5, 5], [-5, 5]]]);

// Sphere
var c = view.create('parametricsurface3d', [
    (u, v) => 2 * Math.sin(u) * Math.cos(v),
    (u, v) => 2 * Math.sin(u) * Math.sin(v),
    (u, v) => 2 * Math.cos(u),
    [0, 2 * Math.PI],
    [0, Math.PI]
], {
    strokeColor: '#ff0000',
    stepsU: 30,
    stepsV: 30
});