Re: Mappings for 3D Landscape

Hi Ethan,

> With a simple MathType such as (RealType.Time -> (value1, value2, ...
> valueN)), is it possible to create a simple 3D landscape? If its possible,
> what kind of mappings would it be like?

A terrain visualization is usually created from data with the
MathType: ((x, y) -> elevation) where there is some expectation
that elevation will be a continuous function of x and y.  In the
case of your time series data, there may be an expectation that
value1, ..., valueN will be continuous functions of Time, in which
case you can plot them as graphs (sort of the 1-D analog of terrains)
by mapping Time -> XAxis and valueI -> YAxis.  If you add a mapping
valueJ -> ZAxis, you'll get a line winding through 3-D.

> If it's not possible, what kind of data model would be most suitable?

People do sometimes generate terrains from financial data,
when one variable is a function of two others.  For example,
the price of an option may be a function of both share price
and interest rate.  As a MathType this would be:

  ((share_price, interest_rate) -> option_price)

which would make a nice terrain display with the ScalarMaps:

  share_price -> XAxis
  interest_rate -> YAxis
  option_price -> ZAxis

Good luck,
Bill
----------------------------------------------------------
Bill Hibbard, SSEC, 1225 W. Dayton St., Madison, WI  53706
hibbard@xxxxxxxxxxxxxxxxx  608-263-4427  fax: 608-263-6738
http://www.ssec.wisc.edu/~billh/vis.html