What you have done is the equivalent of going to your auto mechanic 
and asked his opinion of the best method for controlling moles in your yard.
Sure, he MAY know something about it, but it is not his primary area of 
expertise.

The people in this user group have a wide variet of areas of expertise, and
they all use (or want to improve their use) of Excel and VBA.

What you have done is tossed out some terms and data and hope someone
will recognize the terms and apply them to the data.

By definition, the "Envelope" of  a polyline is a curve that is tangent to each 
segment of the polyline.
to solve this "properly" I think involves the use of differential equations (or 
partial differential equations).

then, you want to "calculate the polyline that is the maximum of them"..

I think the best response I can give is... Huh?
I thought "calculating the polyline" is really calculating the Envelope.
and, the "maximum"?
I THINK the "maximum" is the area under the curve of the resulting envelope.
So.. are you wanting to figure out which of the two polylines is the 'maximum'?
or are you wanting the equation of the envelope?

sorry.. but it's getting beyond my area of interest.
But I can ask my mechanic...

sorry,

Paul


________________________________
From: Liederman <renato.picca...@gmail.com>
To: MS EXCEL AND VBA MACROS <excel-macros@googlegroups.com>
Sent: Tue, January 26, 2010 3:12:50 AM
Subject: $$Excel-Macros$$ Envelope of polylines

Hello to all
I've got trouble with enveloping of polylines defined point to point.

Example:

Polyline A
x      y
0,0    0,0
5,0    0,7
12,0    0,7
16,0    1,5
25,0    1,5
30,0    0,7
40,0    0,7
50,0    0,4
60,0    0,3

Polyline B
x      y
0,7    0,3
0,8    0,5
1,0    0,5
1,2    0,7
1,8    1,0
2,2    2,2
4,9    2,2
9,0    0,4
12,0    0,3
19,9    0,2
49,3    0,2

I would like to calculate the polyline which is the maximum of them

thanks in advance!!

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