computational geometry - Find the volume of Phobos and Deimos

How can we calculate the volume of a 3D object using the new-in-10 computational geometry functions?

For simple objects this works:

shuttle = ExampleData[{"Geometry3D", "SpaceShuttle"}]

Mathematica graphics

Volume@BoundaryDiscretizeGraphics[shuttle]
(* 55.5217 *)

But BoundaryDiscretizeRegion tends to fail on more complex geometries:

{deimos = ExampleData[{"Geometry3D", "Deimos"}], 
 phobos = ExampleData[{"Geometry3D", "Phobos"}]}

Mathematica graphics

BoundaryDiscretizeGraphics[deimos]

BoundaryMeshRegion::binsect: The boundary curves self-intersect or cross each other in BoundaryMeshRegion[{{-0.473472,5.76096,0.000999842},{-0.32066,5.70981,0.233476},{-0.0747657,5.65315,0.231889},<<46>>,{-2.88191,5.74069,0.489521},<<9360>>},{{},{},{Polygon[{{1,2,3},<<49>>,<<18766>>}]}}]. >>

In general, what is a good way to proceed when we need to treat an object as a solid 3D volume (not surface!) for various purposes, such as triangulation, solving a PDE inside it, calculating a volume, or using it as an integration region?

Here are two more practical test cases:

bunny = ExampleData[{"Geometry3D", "StanfordBunny"}]
horse = ExampleData[{"Geometry3D", "Horse"}]

The Stanford bunny is especially relevant because originally it was created from voxel data (a common application).

Comments

functions - Get leading series expansion term?

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I frequently need to type in some matrices, and the menu command Insert > Table/Matrix > New... allows matrices with lines drawn between columns and rows, which is very helpful. I would like to make a keyboard shortcut for it, but cannot find the relevant frontend token command (4209405) for it. Since the FullForm[] and InputForm[] of matrices with lines drawn between rows and columns is the same as those without lines, it's hard to do this via 3rd party system-wide text expanders (e.g. autohotkey or atext on mac). How does one assign a keyboard shortcut for the menu item Insert > Table/Matrix > New... , preferably using only mathematica? Thanks! Answer In the MenuSetup.tr (for linux located in the $InstallationDirectory/SystemFiles/FrontEnd/TextResources/X/ directory), I changed the line MenuItem["&New...", "CreateGridBoxDialog"] to read MenuItem["&New...", "CreateGridBoxDialog", MenuKey["m", Modifiers-...

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