Re: Re: scalar field visualization

*To*: mathgroup at smc.vnet.net*Subject*: [mg66729] Re: [mg66697] Re: scalar field visualization*From*: "Chris Chiasson" <chris at chiasson.name>*Date*: Sat, 27 May 2006 21:04:04 -0400 (EDT)*References*: <e53lns$3uk$1@smc.vnet.net> <e56elh$24b$1@smc.vnet.net> <200605270752.DAA02967@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

I had a course in advanced materials analysis a few years back. We looked at several topics and did a lot of experiments. Among them were an xray diffraction and an electron diffraction lab. I wish I had seen your pages back then. On 5/27/06, pf <pfraundorf at umsl.edu> wrote: > Dear Chris, > > If your scalar field is continuous, you might also try plotting > isosurfaces. This example* uses Mathematica's ContourPlot3D. Motion > and interactivity of course also helps when exploring 3D objects on a > 2D screen. Mathematica's Shadow routine allows you to display > isosurface projections on the orthogonal walls at the same time. You > may have to experiment a bit with these routines, to see if they can > give you something that is useful. > > * http://www.umsl.edu/~fraundor/nanowrld/live3Dmodels/test2.html > > I'm not sure how to display the scalar field as though it were a dust > cloud reflecting light, but with a bit of effort you can also display > it as though it were a dust cloud absorbing light. Basically, you do a > CAT scan in reverse, i.e. calculate multiangle shadows from a 3D model > rather than vice versa. This can be done by Fourier backprojection, > ie. by taking the 3D Fourier transform of your scalar field, slicing it > through the DC peak about a given rotation axis, and then animate the > Fourier transform of the slices. The result is a rotating shadow, like > the one illustrated at the bottom of this page**. > > ** http://www.umsl.edu/~fraundor/nanowrld/difaction.html > > Cheers. /pf > > -- http://chris.chiasson.name/

**References**:**Re: scalar field visualization***From:*"pf" <pfraundorf@umsl.edu>