graphics3d - Custom Ticks for Image3D?

Is it possible to make user-defined ticks in an Image3D? (Wizardly solutions will be appreciated, too.) With

Image3D[Import["ExampleData/CTengine.tiff"], Boxed -> True, Axes -> True
 (*,Ticks -> {x,y,z}*)
]

I get

However, if I uncomment Ticks, I get a message

Unknown option Ticks in Image3D[....]

Ticks I prepared for something else, but can be used here.

x = {{0, 0}, {75, Pi/4}, {150, Pi/2}, {225, 3 Pi/4}, {300, Pi}};
y = {{0, 0.0}, {75, 0.5}, {150, 1.0}, {225, 1.5}, {300, 2.0}};
z = Table[{i, i}, {i, 0, 8, 2}];

Answer

mydata = Import["ExampleData/CTengine.tiff"];

Show[Image3D[mydata], 

 Axes -> True, 
 Ticks ->
  {
   {{0, 0}, {75, π/4}, {150, π/2}, {225, 3 π/4}, {300, π}},
   {{0, 0.0}, {75, 0.5}, {150, 1.0}, {225, 1.5}, {300, 2.0}},
   Table[{i, i}, {i, 0, 80, 20}]
  }
 ]

Comments

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functions - What best practices or performance considerations are there for choosing between Cases, Position, Pick and Select?

Cases , Select , Pick and Position each have different syntaxes and purposes, but there are times when you can express the same calculation equivalently using either of them. So with this input: test = RandomInteger[{-25, 25}, {20, 2}] {{-15, 13}, {-8, 16}, {-8, -19}, {7, 6}, {-21, 9}, {-3, -25}, {21, -18}, {4, 4}, {2, -2}, {-24, 8}, {-17, -8}, {4, -18}, {22, -24}, {-4, -3}, {21, 0}, {19, 18}, {-23, -8}, {23, -25}, {14, -2}, {-1, -13}} You can get the following equivalent results: Cases[test, {_, _?Positive}] {{-15, 13}, {-8, 16}, {7, 6}, {-21, 9}, {4, 4}, {-24, 8}, {19, 18}} Select[test, #[[2]] > 0 &] {{-15, 13}, {-8, 16}, {7, 6}, {-21, 9}, {4, 4}, {-24, 8}, {19, 18}} Pick[test, Sign[test[[All, 2]] ], 1] {{-15, 13}, {-8, 16}, {7, 6}, {-21, 9}, {4, 4}, {-24, 8}, {19, 18}} test[[Flatten@Position[test[[All, 2]], _?Positive] ]] {{-15, 13}, {-8, 16}, {7, 6}, {-21, 9}, {4, 4}, {-24, 8}, {19, 18}} Are there performance or other considerations that should guide which you shou...

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