Re: scalar field visualization

*To*: mathgroup at smc.vnet.net*Subject*: [mg66697] Re: scalar field visualization*From*: "pf" <pfraundorf at umsl.edu>*Date*: Sat, 27 May 2006 03:52:20 -0400 (EDT)*References*: <e53lns$3uk$1@smc.vnet.net><e56elh$24b$1@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

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

**Follow-Ups**:**Re: Re: scalar field visualization***From:*"Chris Chiasson" <chris@chiasson.name>