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本文只展示如何将该图像进行更加高质量的绘制，并不打算展示次模函数各个约束条件下求得解对比于最优解的比值保证的推演过程，以下是绘图效果

绘图效果：

绘图及修饰完整代码：

AG_Fcn=@(r,a)(1-exp(-a.*r))./a;
[gamma,alpha]=meshgrid([1e-6,0.05:0.05:1]);
mesh(gamma,alpha,AG_Fcn(gamma,alpha),'FaceColor','interp','EdgeColor',[0 0 0])
hold on
t=[1e-6,0.01:0.01:1];
plot3(t,ones(length(t)).*0,AG_Fcn(t,1e-6),'Color',[0.4660 0.6740 0.1880],'LineWidth',3)
plot3(t,ones(length(t)).*1,AG_Fcn(t,1),'Color',[0 0 0],'LineWidth',3)
plot3(ones(length(t)).*1,t,AG_Fcn(1,t),'Color',[1 0 0],'LineWidth',4)ax=gca;
ax.XLim=[0 1];
ax.YLim=[0 1];
ax.ZLim=[0 1];ax.XTick=0:0.5:1;
ax.YTick=0:0.5:1;
ax.ZTick=0:0.5:1;ax.XTickMode='manual';
ax.YTickMode='manual';
ax.ZTickMode='manual';ax.XTickLabel={'0','0.5','1'};
ax.YTickLabel={'0','0.5','1'};
ax.ZTickLabel={'0','0.5','1'};ax.XTickLabelMode='manual';
ax.YTickLabelMode='manual';
ax.ZTickLabelMode='manual';ax.XMinorTick='on';
ax.YMinorTick='on';
ax.ZMinorTick='on';ax.XAxis.MinorTickValues=0:0.05:1;
ax.YAxis.MinorTickValues=0:0.1:1;
ax.ZAxis.MinorTickValues=0:0.1:1;ax.XMinorGrid='on';
ax.YMinorGrid='on';
ax.ZMinorGrid='on';ax.MinorGridLineStyle='-';ax.YLabel.String='\alpha';
ax.YLabel.Position=[0 0.45 -0.1];
ax.YLabel.FontSize=18;ax.XLabel.String='\gamma';
ax.XLabel.Position=[0.45 0.15 -0.1];
ax.XLabel.FontSize=18;ax.ZLabel.String='approw.guarantee';
ax.ZLabel.Position=[0.2 1.45 0.25];
ax.ZLabel.FontName='Calibri';
ax.ZLabel.FontSize=18;ta1=annotation('textarrow');
ta1.Color=[0.4660 0.6740 0.1880];
ta1.LineWidth=1;
ta1.X=[0.92 0.91];
ta1.Y=[0.67 0.72];
ta1.String='modular';
ta1.Interpreter='latex';
ta1.TextColor=[0 0 0];
ta1.FontSize=12;ta2=annotation('textarrow');
ta2.Color=[0 0 0];
ta2.LineWidth=1;
ta2.X=[0.26 0.3];
ta2.Y=[0.6 0.54];
ta2.String='$1-e^{-\gamma}$';
ta2.Interpreter='latex';
ta2.TextColor=[0 0 0];
ta2.FontSize=14;ta3=annotation('textarrow');
ta3.Color=[1 0 0];
ta3.LineWidth=1;
ta3.X=[0.72 0.7];
ta3.Y=[0.78 0.74];
ta3.String='$\alpha^{-1}(1-e^{-\alpha})$';
ta3.Interpreter='latex';
ta3.TextColor=[0 0 0];
ta3.FontSize=14;ta4=annotation('textarrow');
ta4.Color=[0 0 1];
ta4.LineWidth=1;
ta4.X=[0.544 0.565];
ta4.Y=[0.82 0.77];
ta4.String='classical$(1-e^{-1})$guarantee';
ta4.Interpreter='latex';
ta4.TextColor=[0 0 0];
ta4.FontSize=12;