How to get position coordinates of axes' ticks?

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Dominik Mattioli 2021-7-19

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https://ww2.mathworks.cn/matlabcentral/answers/881908-how-to-get-position-coordinates-of-axes-ticks

评论： dpb 2021-7-20

I would like to know the intersection points of the X and Y major grid lines for an axis, with respect to the parent figure. I have some code that does this, but I'm wondering if there is a getter call for the axis object, given that the 'grid on' and 'grid minor' calls plot lines that intersect with the desired points:

% Init fig and axis.
f	= figure( 'Color', 'w', 'WindowState', 'Maximized', 'Units', 'Points' );
ax	= axes( 'Parent', f, 'Layer', 'Bottom', 'Units', 'Points',...
    'XTick', 0:.1:1, 'XTickLabels', strsplit( num2str( 0:.1:1 ) ),...
    'YTick', 0:.1:1, 'YTickLabels', strsplit( num2str( 0:.1:1 ) ) );
axP = ax.get( 'Position' );
% Get coordinates of each grid line.
xRuler = ax.get( 'XAxis' );
xRulerTickIndices	= xRuler.get( 'TickValues' );
xRulerTickPos	= linspace( axP( 1 ), axP( 1 ) + axP( 3 ), numel( xRulerTickIndices ) );
yRuler = ax.get( 'YAxis' );
yRulerTickIndices	= yRuler.get( 'TickValues' );
yRulerTickPos	= linspace( axP( 2 ), axP( 2 ) + axP( 4 ), numel( yRulerTickIndices ) );
[XGrid, YGrid]	= meshgrid( xRulerTickPos, yRulerTickPos );
widths = diff( xRulerTickPos( 1:2 ) ) / 4;
heights = diff( yRulerTickPos( 1:2 ) ) / 4;
% Plot axes at each point.
newAx   = gobjects( size( XGrid ) );
for idx = 1:size( XGrid, 1 )
    for jdx = 1:size( XGrid, 2 )
        newAxPos	= horzcat( XGrid( idx, jdx ) - widths/2, YGrid( idx, jdx ) - heights/2, widths, heights );
        newAx( idx, jdx )	= axes( 'Parent', f, 'Layer', 'Top', 'Units', 'Points', 'Position', newAxPos );
    end
end

Edit: this code assumes tick marks that are equidistant from each other and from the box limits, so this code is not generalizable.

Edit2: The axes that I would plot at these points would vary in size while still aligning with the ticks of the main axis. I don't think subplot() or tiledlayout() will be useful for my purpose.

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dpb 2021-7-20

编辑：dpb 2021-7-20

" if there is a getter call for the axis object, given that the 'grid on' and 'grid minor' calls plot lines that intersect with the desired points:"

The grid lines are in axes units, not in physical coordinates, so I'm virtually positive there is no object handle that returns those. But, you can use Yair Altman's FEX submission to explore what is inside the axes object but hidden to your heart's content.

https://www.mathworks.com/matlabcentral/fileexchange/32934-getundoc-get-undocumented-object-properties

dpb 2021-7-20

在 MATLAB Online 中打开

I'd note the above code could be written much more compactly --

% Init fig and axis.
hF= figure( 'Color', 'w', 'WindowState', 'Maximized', 'Units', 'Points' );
hAx=axes(hF, 'Layer','Bottom', 'Units','Points'); % default ticks, tick labels match 0:0.1:1
axP = hAx.Position;                               % dot notation more concise
% Get coordinates of each grid line.
xRuler = hAx.XAxis;
xRulerTickIndices=xticks;
...
    