Re: Dilation operation on vector

[Terry Duell]

On Tue, 26 Mar 2013 05:54:39 +1100, PetrSt <address@hidden> wrote:

> I'm not sure what do you mean by dilation problem, but I guess there is
> hardly any octave function dealing exactly your problem. I think, it is
> about defining and solving purely mathematical problem.

I used the words "dilation problem" as it was the way it was described in  
a paper by a learned person, with the faint hope it might mean more than  
simply saying "wheel rolling on profile"
Also not knowing whether dilation is a smart way of solving the problem, I  
am inclined to agree that is probably best tackled by the application of  
geometry and trigonometry.
Prior to my question, I had spent some time working through a solution,  
but was not having complete success.
Your approach does look correct, but I'm not sure that it can be directly  
applied to my problem as-is.
The profile data isn't simply elevations at each x value, the assumption  
is that the profile between x values is a straight line joining adjacent  
the points, hence there is the added complication of knowing which segment  
of the profile the wheel is tangent to at any position along the profile.
I think I have to work a bit more on testing which segment the wheel is  
tangent to.

Thank you for taking the time to help.


Cheers,
--
Regards,
Terry Duell