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Re: Using Equations To Represent Graphics

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"Brian" <briansipler@yahoo.com> wrote in message 
news:dd651185-6c10-4032-884a-0105618facc0@v14g2000yqm.googlegroups.com...
> Hi, I have one last question about programming:
>
> I read somewhere that programmers sometimes use mathematical equations
> to represent graphics, and that the programmers write code that
> transforms the equations into the graphics that they want.  I didn't
> know this was possible.  Is it possible to do this?
>

Perhaps you are thinking about something like transformation matrices.  As I 
understand it, each point considered three-dimensionally can be represented 
by a 3x3 matrix of values.  So for a group of points, you have a group of 
matrices... one matrix for each point.

Using the matrix of the point, the point can be projected on the plane of 
the computer screen.  When some points are joined by lines... the produce a 
wire-frame picture.  Transformation matrices can be "applied" (i.e., the 
matrix for each point is multiplied by a transformation matrix) to produce a 
rotation or other modification of the two-dimensional picture by altering 
the point's matrix... as the matrix specifies the point's location in three 
dimensions.  The "projection" on the computer screen is like viewing the 
grouping of points from one side or another.

Here are some websites that describe some of this:

http://en.wikipedia.org/wiki/Transformation_matrix

http://www.senocular.com/flash/tutorials/transformmatrix/


If you are interested, I suggest that you find a good book on the subject.

--

numerist at aquaporin4 dot com

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Thread

Using Equations To Represent Graphics Brian <briansipler@yahoo.com> - 2013-05-21 09:19 -0700
  Re: Using Equations To Represent Graphics James <jjpuzzles@wowway.com> - 2013-05-21 11:28 -0700
    Re: Using Equations To Represent Graphics Brian <briansipler@yahoo.com> - 2013-05-21 12:22 -0700
      Re: Using Equations To Represent Graphics James <jjpuzzles@wowway.com> - 2013-05-21 13:10 -0700
  Re: Using Equations To Represent Graphics JJ <duh@nah.meh> - 2013-05-22 02:44 +0700
  Re: Using Equations To Represent Graphics "Chris M. Thomasson" <no@spam.invalid> - 2013-05-21 13:48 -0700
  Re: Using Equations To Represent Graphics "Charles Richmond" <numerist@aquaporin4.com> - 2013-05-21 19:01 -0500
    Re: Using Equations To Represent Graphics Brian <briansipler@yahoo.com> - 2013-05-21 17:25 -0700
  Re: Using Equations To Represent Graphics bob <bob@coolfone.comze.com> - 2013-05-22 09:20 -0700

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