**comp.graphics.algorithms**

## Subject: **Re: Piecewise Linear Function of 3d Points**

Kaba wrote:

> In article

> says...

>> Hi All,

>>

>> Say I have a mesh, lets say in an L shape. Now I want to fit a piecewise

>> linear function to the vertices or faces (doesn't really matter as both

>> give 3d positions) of that mesh. I know this is quite vague, but I am

>

> Very, very vague. More information is needed. To help you form your

> intent:

> - What is the domain of the function?

> - What is the range of the function?

> - How do you define the term "fit"?

>

> To make things more concrete:

> - What is the application?

>

Ok, I will try and make myself clearer. Imagine doing a linear

regression on some 2d data, now I want to do that to 3d data. This data

is the vertices of a 3d mesh. To further complicate this I want to fit x

number of lines through the data such that if I just had a straight tube

it would simply fit one line through it, but if I was presented with an

L shaped tube I would fit two lines through this with 3 control points.

Adam

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