Tick marks don't scale in graphics -- why, and how to fix this?

Question

As we rasterize 3D images at higher and higher resolution, every image element should get proportionally bigger and bigger. However, tick marks stop growing after a while. Is there a way to ensure that tick marks should grown proportionally to the rest of the graphic, like text does?

Illustration:

g = Graphics3D[Sphere[], Axes -> True, ImageSize -> 200] Table[Image[ ImageResize[Rasterize[g, "Image", ImageResolution -> n 72], Scaled[1/n]], Magnification -> 1], {n, 6}]

Mathematica graphics

Column[Table[ Image[Rasterize[g, "Image", ImageResolution -> n 72], Magnification -> 1], {n, 6}], Alignment -> Left]

Click here to see the output (too big to be conveniently inlined)

This is possibly a bug. I know there are issues with 2D plots and ticks not scaling in rasterized images. — Mike Honeychurch
– Mike Honeychurch, Commented Jan 10, 2012 at 20:40
I've experienced the same issue. You should have a look at scidraw.nd.edu/levelscheme (if you haven't already). The main package includes a package for custom ticking. — telefunkenvf14
– telefunkenvf14, Commented Jan 10, 2012 at 22:07
@telefunkenvf14 Indeed, the ticks package is available separately here as well: library.wolfram.com/infocenter/Demos/5599 — Szabolcs
– Szabolcs, Commented Jan 11, 2012 at 8:11
If this is your actual example and not a toy one then it would seem that a tick function for this graphic is pretty straight forward as per the answer below. I don't use styling in tick function however, I prefer to set that separately with TickStyle. AFAIK manual ticks looks like the only way to fix this. — Mike Honeychurch
– Mike Honeychurch, Commented Jan 11, 2012 at 22:00

Slava Nadvorny · Accepted Answer · 2012-01-10 15:18:00Z

2

See http://reference.wolfram.com/mathematica/ref/Ticks.html "More information" and "Application" sections. You can specify tick length like this:

Tick mark size Plot 3D with custom tick marks

answered Jan 10, 2012 at 15:18

Slava Nadvorny

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Szabolcs Over a year ago

Indeed, it is an interesting finding that manually specified ticks do seem to scale. I don't want to manually specify tick positions though, as this is completely unnecessary and also a lot of work (if I want to make it look nice). The defaults are fine. How can I make the defaults scale correctly? Note that auto-generated tick specifications are not easily retrieved: Options[g, Ticks] gives Automatic.

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