email@example.com wrote: > Lance wrote: > > Perspective drawing drawing tries to make 3 dimensions fit onto two by > > projecting then onto a two dimesnional surface. > > > > The same idea can be used but instead of projecting the imge you would > > need to project the shadow - the three dimensional shadow of the four > > dimensional object. > > > > Having said that I have no idea how you could actually do this with > > your data. > > > > Lance > > > > gino wrote: > > > I tried to do cross section, and slicing, on my 4D data, it is really > > > awkward... My 4D data is actually sampled from z=f(x, y, u, v) in Matlab. > > > Are there any tools existing in science and engineering field, > > > that can help me visualize high dimensional data(using Matlab or other > > > languages)? > > > > > > Thanks a lot! > > I found a similar discrepancy as Lance has. I always used > point, line and plane (1st, 2nd, 3rd where the 4th would be > = to geometries 3rd dimension) I can only pin it down as falling > somewheres between philosophy and cognitive sciences. > > Using colour might be useful, but I think you might have to > explain that the idea you present works maybe something > like a stereogram? giving an extra dimension that wouldn't > normally be there. M.
This isn't 4D by any means and a rather off-topic reply, but your comment about stereograms reminded me of a fun thing you can try. Put a set of identical 3D objects ( I used chess pawns last time) in a line on a plain surface. Adjust the spacings ever so slightly and then deconverge your visual focus as if viewing a single-image autostereogram. You'll get a 3D effect. Now try moving a few of the objects a tiny bit closer and further away in Z. Also try strong directional lighting. Not *very* interesting but amusing.