In SciChart iOS 3D you can create a Mesh of any shape or size & define its location as well as set different palette modes (Radial, Axial, Polar and Azimuthal). This example demonstrates how to use SCICustomSurfaceDataSeries3D and SCIFreeSurfaceRenderableSeries3D to render Custom 3D Free Surface Mesh in iOS SWIFT and Obj-C with SciChart.

These chart types are used extensively among the scientific & engineering sectors as well as across iOS SWIFT Chart heavy applications.

You can read more about creating an iOS custom free surface mesh 3D chart and other mesh types in SciChart iOS 3D Documentation and Tutorials:

• –iOS Custom Free Surface Mesh 3D chart example
• –iOS Ellipsoid 3D chart example
• –iOS Polar 3D chart example

// CustomFreeSurface3DChartView.m

//******************************************************************************
// SCICHART® Copyright SciChart Ltd. 2011-2019. All rights reserved.
//
// Web: http://www.scichart.com
// Support: support@scichart.com
// Sales:   sales@scichart.com
//
// CustomFreeSurface3DChartView.m is part of the SCICHART® Examples. Permission is hereby granted
// to modify, create derivative works, distribute and publish any part of this source
// code whether for commercial, private or personal use.
//
// The SCICHART® examples are distributed in the hope that they will be useful, but
// without any warranty. It is provided "AS IS" without warranty of any kind, either
// expressed or implied.
//******************************************************************************

#import "CustomFreeSurface3DChartView.h"

@implementation CustomFreeSurface3DChartView

- (Class)associatedType { return SCIChartSurface3D.class; }

- (void)initExample {
    SCINumericAxis3D *xAxis = [SCINumericAxis3D new];
    xAxis.growBy = [[SCIDoubleRange alloc] initWithMin:0.1 max:0.1];
    SCINumericAxis3D *yAxis = [SCINumericAxis3D new];
    yAxis.growBy = [[SCIDoubleRange alloc] initWithMin:0.1 max:0.1];
    SCINumericAxis3D *zAxis = [SCINumericAxis3D new];
    zAxis.growBy = [[SCIDoubleRange alloc] initWithMin:0.1 max:0.1];
    
    SCIUVFunc radialDistanceFunc = ^(double u, double v) { return 5.0 + sin(5.0 * (u + v)); };
    SCIUVFunc azimuthalAngleFunc = ^(double u, double v) { return u; };
    SCIUVFunc polarAngleFunc = ^(double u, double v) { return v; };
    SCIValueFunc xFunc = ^(double r, double theta, double phi) { return r * sin(theta) * cos(phi); };
    SCIValueFunc yFunc = ^(double r, double theta, double phi) { return r * cos(theta); };
    SCIValueFunc zFunc = ^(double r, double theta, double phi) { return r * sin(theta) * sin(phi); };
    
    SCICustomSurfaceDataSeries3D *ds = [[SCICustomSurfaceDataSeries3D alloc] initWithXType:SCIDataType_Double yType:SCIDataType_Double zType:SCIDataType_Double uSize:30 vSize:30 radialDistanceFunc:radialDistanceFunc azimuthalAngleFunc:azimuthalAngleFunc polarAngleFunc:polarAngleFunc xFunc:xFunc yFunc:yFunc zFunc:zFunc];
    
    unsigned int colors[7] = { 0xFF00008B, 0xFF0000FF, 0xFF00FFFF, 0xFFADFF2F, 0xFFFFFF00, 0xFFFF0000, 0xFF8B0000 };
    float stops[7] = { 0.0, 0.1, 0.3, 0.5, 0.7, 0.9, 1.0};
    SCIGradientColorPalette *palette = [[SCIGradientColorPalette alloc] initWithColors:colors stops:stops count:7];
    
    SCIFreeSurfaceRenderableSeries3D *rSeries = [SCIFreeSurfaceRenderableSeries3D new];
    rSeries.dataSeries = ds;
    rSeries.drawMeshAs = SCIDrawMeshAs_SolidWireframe;
    rSeries.stroke = 0x77228B22;
    rSeries.contourInterval = 0.1;
    rSeries.contourStroke = 0x77228B22;
    rSeries.strokeThickness = 2.0;
    rSeries.lightingFactor = 0.8;
    rSeries.meshColorPalette = palette;
    
    rSeries.paletteMinMaxMode = SCIFreeSurfacePaletteMinMaxMode_Relative;
    rSeries.paletteMinimum = [[SCIVector3 alloc] initWithX:0.0 y:5.0 z:0.0];
    rSeries.paletteMaximum = [[SCIVector3 alloc] initWithX:0.0 y:7.0 z:0.0];
    
    [SCIUpdateSuspender usingWithSuspendable:self.surface withBlock:^{
        self.surface.xAxis = xAxis;
        self.surface.yAxis = yAxis;
        self.surface.zAxis = zAxis;
        [self.surface.renderableSeries add:rSeries];
        [self.surface.chartModifiers add:[SCDExampleBaseViewController createDefaultModifiers3D]];
    }];
}

@end

// CustomFreeSurface3DChartView.swift

//******************************************************************************
// SCICHART® Copyright SciChart Ltd. 2011-2019. All rights reserved.
//
// Web: http://www.scichart.com
// Support: support@scichart.com
// Sales:   sales@scichart.com
//
// CustomFreeSurface3DChartView.swift is part of the SCICHART® Examples. Permission is hereby granted
// to modify, create derivative works, distribute and publish any part of this source
// code whether for commercial, private or personal use.
//
// The SCICHART® examples are distributed in the hope that they will be useful, but
// without any warranty. It is provided "AS IS" without warranty of any kind, either
// expressed or implied.
//******************************************************************************

class CustomFreeSurface3DChartView: SCDSingleChartViewController<SCIChartSurface3D> {
    
    override var associatedType: AnyClass { return SCIChartSurface3D.self }
    
    override func initExample() {
        let xAxis = SCINumericAxis3D()
        xAxis.growBy = SCIDoubleRange(min: 0.1, max: 0.1)
        let yAxis = SCINumericAxis3D()
        yAxis.growBy = SCIDoubleRange(min: 0.1, max: 0.1)
        let zAxis = SCINumericAxis3D()
        zAxis.growBy = SCIDoubleRange(min: 0.1, max: 0.1)
        
        let radialDistanceFunc: SCIUVFunc = { u, v in 5.0 + sin(5.0 * (u + v)) }
        let azimuthalAngleFunc: SCIUVFunc = { u, _ in u }
        let polarAngleFunc: SCIUVFunc = { _, v in v }
        
        let xFunc: SCIValueFunc = { r, theta, phi in r * sin(theta) * cos(phi) }
        let yFunc: SCIValueFunc = { r, theta, phi in r * cos(theta) }
        let zFunc: SCIValueFunc = { r, theta, phi in r * sin(theta) * sin(phi) }
        
        let ds = SCICustomSurfaceDataSeries3D(xType: .double, yType: .double, zType: .double, uSize: 30, vSize: 30, radialDistanceFunc: radialDistanceFunc, azimuthalAngleFunc: azimuthalAngleFunc, polarAngleFunc: polarAngleFunc, xFunc: xFunc, yFunc: yFunc, zFunc: zFunc, uMin: 0.0, uMax: Double.pi * 2, vMin: 0, vMax: Double.pi)
        
        let palette = SCIGradientColorPalette(
            colors: [0xFF00008B, 0xFF0000FF, 0xFF00FFFF, 0xFFADFF2F, 0xFFFFFF00, 0xFFFF0000, 0xFF8B0000],
            stops: [0.0, 0.1, 0.3, 0.5, 0.7, 0.9, 1.0]
        )
        
        let rSeries = SCIFreeSurfaceRenderableSeries3D()
        rSeries.dataSeries = ds
        rSeries.drawMeshAs = .solidWireframe
        rSeries.stroke = 0x77228B22
        rSeries.contourInterval = 0.1
        rSeries.contourStroke = 0x77228B22
        rSeries.strokeThickness = 2.0
        rSeries.lightingFactor = 0.8
        rSeries.meshColorPalette = palette
        
        rSeries.paletteMinMaxMode = .relative
        rSeries.paletteMinimum = SCIVector3(x: 0.0, y: 5.0, z: 0.0)
        rSeries.paletteMaximum = SCIVector3(x: 0.0, y: 7.0, z: 0.0)
        
        SCIUpdateSuspender.usingWith(surface) {
            self.surface.xAxis = xAxis
            self.surface.yAxis = yAxis
            self.surface.zAxis = zAxis
            self.surface.renderableSeries.add(rSeries)
            self.surface.chartModifiers.add(SCDExampleBaseViewController.createDefaultModifiers3D())
        }
    }
}

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