Cfrgtkky

I want to display a surface, with 3 points sitting on it. I attempted to combine two posts, with partial success. If I change the viewpoint, I receive the upper figure. In this case the log scaling goes away, but it is close to what I wanted (except the balls in the mesh points). If I do not change the view point, I receive the bottom figure, where the logarithmic scaling is perfect, but the interesting surface section and the points are not visible. How can I change the viewpoint, while keeping the log scaling?

BTW: what is the best way of emphasizing how the 3D positions of these points relate to each other? Maybe some extra mesh lines on a surface? Or some projected lines to the corresponding coordinates?

documentclass[border= 5mm]{standalone}

usepackage{pgfplots}

%https://tex.stackexchange.com/questions/232070/3d-surface-plot-with-logarithmic-x-and-y-axis

%http://pgfplots.net/tikz/examples/mesh-plot/

begin{document}



    begin{tikzpicture}

    begin{axis}

    [view={105}{18}] %% Comment this out

    [

    scale = 1,

    ymin = 1e5, xmax = 1.1e7,

    ymin = 1e-8, ymax = 1e-5,

    zmin = 0, zmax = 1,

        ztick={.2,.5,.8,1.0},

        ytick={1e-7,1e-6,1e-5},

colormap/jet,

    xmode=log, ymode=log

    ]



    addplot3+[

    mesh,%scatter,%,samples=10

%   surf,

    samples=10,

    domain=5:7.1,

    domain y=-8:-5,

    ]

    (10^x, 10^y, {  1/(10^x*10^y+(1-10^y))});



addlegendentry{Surface}

    addplot3+[only marks] coordinates {

        (2397824, 1.665e-7, 0.715) };

addlegendentry{A}

    addplot3+[only marks] coordinates {

    (1572480, 2.09e-7, 0.753) };

addlegendentry{B}

    addplot3+[only marks] coordinates {

    (10649600,33e-9,.742) };

addlegendentry{C}



    end{axis}

    end{tikzpicture}

end{document}

I will be happy to remove this. You have closed the ] of the axis options, which is why all the logarithmic stuff got ignored. Just replace ][ by a comma to arrive at

documentclass[border= 5mm]{standalone}

usepackage{pgfplots}

%https://tex.stackexchange.com/questions/232070/3d-surface-plot-with-logarithmic-x-and-y-axis

%http://pgfplots.net/tikz/examples/mesh-plot/

begin{document}



    begin{tikzpicture}

    begin{axis}

    [view={105}{18}, %% Comment this out

    scale = 1,

    ymin = 1e5, xmax = 1.1e7,

    ymin = 1e-8, ymax = 1e-5,

    zmin = 0, zmax = 1,

        ztick={.2,.5,.8,1.0},

        ytick={1e-7,1e-6,1e-5},

colormap/jet,

    xmode=log, ymode=log

    ]



    addplot3+[

    mesh,%scatter,%,samples=10

%   surf,

    samples=10,

    domain=5:7.1,

    domain y=-8:-5,

    ]

    (10^x, 10^y, {  1/(10^x*10^y+(1-10^y))});



addlegendentry{Surface}

    addplot3+[only marks] coordinates {

        (2397824, 1.665e-7, 0.715) };

addlegendentry{A}

    addplot3+[only marks] coordinates {

    (1572480, 2.09e-7, 0.753) };

addlegendentry{B}

    addplot3+[only marks] coordinates {

    (10649600,33e-9,.742) };

addlegendentry{C}



    end{axis}

    end{tikzpicture}

end{document}

As for the question what the best way to indicate the location is, I don't know, but I feel adding thin lines that connect the lines with the bottom and drawing the surface last may help.

documentclass[border= 5mm]{standalone}

usepackage{pgfplots}

pgfplotsset{compat=1.16}

%https://tex.stackexchange.com/questions/232070/3d-surface-plot-with-logarithmic-x-and-y-axis

%http://pgfplots.net/tikz/examples/mesh-plot/

begin{document}



    begin{tikzpicture}

    begin{axis}

    [view={105}{18}, %% Comment this out

    scale = 1,

    ymin = 1e5, xmax = 1.1e7,

    ymin = 1e-8, ymax = 1e-5,

    zmin = 0, zmax = 1,

        ztick={.2,.5,.8,1.0},

        ytick={1e-7,1e-6,1e-5},

colormap/jet,

    xmode=log, ymode=log

    ]



    addplot3+[only marks] coordinates {

        (2397824, 1.665e-7, 0.715) };

    draw[thin,gray]    (2397824, 1.665e-7, 0.715) -- (2397824, 1.665e-7, 0);

addlegendentry{A}

    addplot3+[only marks] coordinates {

    (1572480, 2.09e-7, 0.753) };

    draw[thin,gray] (1572480, 2.09e-7, 0.753)  -- (1572480, 2.09e-7, 0) ;

addlegendentry{B}

    addplot3+[only marks] coordinates {

    (10649600,33e-9,.742) };

    draw[thin,gray] (10649600,33e-9,.742) -- (10649600,33e-9,0);

addlegendentry{C}



    addplot3+[

    mesh,%scatter,%,samples=10

%   surf,

    samples=10,

    domain=5:7.1,

    domain y=-8:-5,

    ]

    (10^x, 10^y, {  1/(10^x*10^y+(1-10^y))});



addlegendentry{Surface}



    end{axis}

    end{tikzpicture}

end{document}