Re: parallel to a tabulated surface
- To: mathgroup at smc.vnet.net
- Subject: [mg84627] Re: parallel to a tabulated surface
- From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
- Date: Mon, 7 Jan 2008 02:42:51 -0500 (EST)
- References: <flk264$bqh$1@smc.vnet.net> <flnj93$jr1$1@smc.vnet.net> <flqci0$k6p$1@smc.vnet.net>
Hi,
the problem is, that you don't told us if your
surface is sampled on a uniform grid or not.
With a uniform grid you can interpolate the functions
{x,[u,v],y[u,v],z[u,v]} with parameters u and v and compute
the thangent vectors and the normals...
If you don't have a uniform grid you have
a serious problem to compute the interpolation ...
Regards
Jens
Narasimham wrote:
> On Jan 5, 2:39 pm, Jens-Peer Kuska <ku... at informatik.uni-leipzig.de>
> wrote:
>> Hi,
>>
>> interpolate it ?
>>
>> Regards
>> Jens
>>
>> Narasimham wrote:
>>> How to find (X,Y,Z) for another parallel (Bertrand) surface at
>>> distance c from defined surface r = (x,y,z ) = f(u,v)? Finding unit
>>> vector of del r /del u X del r /del v along normal works for closed
>>> form surfaces, but how to handle for a surface when input is given as
>>> a table? TIA
>
> Let us say in a simpler case surface normals of length 0.5 are erected
> at {x,0,1,0.1} and {y,0,1,0.1} on surface z = Sin[Pi*x]* Sin[Pi*y},
> what procedure is to be adopted in interpolation? Regards.
>