While poking around I came a cross some interesting papers that I 
 thought I would point out:

 Campen, M. & Kobbelt, L. Polygonal Boundary Evaluation of Minkowski 
 Sums and Swept Volumes Computer Graphics Forum, 2010, 29, 1613-1622

 Bommes, D. & Kobbelt, L. Accurate computation of geodesic distance 
 fields for polygonal curves on triangle meshes Proc. of Vision, 
 Modeling, and Visualization (VMV), 2007, 151-160

 Bischoff, S. & Kobbelt, L. Parameterization-free active contour models 
 with topology control The Visual Computer, Springer, 2004, 20, 217-228

 hope this is interesting...

   EBo --

 On Wed, 5 Jan 2011 07:12:01 -0500, Mark wrote:
> On Jan 5, 2011 6:09 AM, "Anders Wallin" <[email protected]> 
> wrote:
>>
>> > There are a few other people working on the problem of modeling 
>> material
>> > removal. Unfortunately it seems that our approaches are different 
>> enough
>> > that merging the projects would be difficult.
>>
>> hi all,
>>
>> I've done a bit of work modeling the stock as a signed-distance 
>> field.
>> I'm using the classic marching-cubes algorithm to extract the
>> iso-surface triangles of the stock model. There are more advanced
>> approaches which also store surface normals in each octree vertex. 
>> To
>> save space the distance field is not stored on a regular 3D grid, 
>> but
>> in an octree which is subdivided whenever required.
>> the approach is described here:
>> http://www.cadanda.com/V2Nos1to4_11.pdf
>> http://dx.doi.org/10.1080/00207540410001671651
>> http://dx.doi.org/10.1115/1.3130231
>>
>> my results are here:
>> http://www.youtube.com/watch?v=1DAvgLCj_RQ
>> http://www.youtube.com/watch?v=17mpgQ4KVLg
>>
>> The code is here:
>>
> 
> http://code.google.com/p/opencamlib/source/browse/#svn%2Ftrunk%2Fsrc%2Fcutsim
>>
>> This approach can deal with any kind of cutters as long as you come 
>> up
>> with the distance field for the cutter, essentially a function that
>> takes an xyz-position and returns positive outside the cutter and
>> negative inside.
>> To model cutting moves or sweeps the sampling-approach is used. The
>> low-level operation (runs in 1ms or so) is to subtract the cutter
>> positioned at some xyz from the stock. Linear/arc/etc. moves are 
>> dealt
>> with by positioning the cutter at many sampled points along the path
>> and calling the basic function which subtracts the (stationary) 
>> cutter
>> for each sample point.
>>
>> I hope to do some more work on this in February. The to-do list 
>> could
>> look something like this:
>> - find a g-code interpreter (emc2 or other) which can be used to 
>> read
>> g-code and output 'canonical' G1 type moves to the sim
>
> If you want one c++ object for each g00/g01/g02/g03, you may be able 
> to use
> some of my code.
>
>> - work on accelerating the opengl 3D view. I hear this involves 
>> things
>> like VAOs and/or VBOs which I haven't tried.
>> - I'm now calling the lib/sim from python, but this is probably too
>> slow. Think about a C++ GUI that would integrate 
>> interp+3D-view+cutsim
>> - fancy sim improvements:
>> -- different colors for stock cut with different tools
>> -- material removal rate calculation/plot/warning
>> -- collision detection (fixtures=forbidden stock region,
>> toolholder=forbidden cutter region)
>> -- improved marching-cubes: dual-contouring, hermite-data, etc.
>>
>> enjoy,
>> Anders
>>
>
> I need to figure out how to run cutsim!
> Mark


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