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Re: [Devel] Problems with bbox code and cubic bezier curves


From: Nathan Hurst
Subject: Re: [Devel] Problems with bbox code and cubic bezier curves
Date: Wed, 25 Apr 2001 11:44:16 +1000 (EST)

On Tue, 24 Apr 2001, Tom Kacvinsky wrote:

> I hope this is what Richard meant -- find the zeros of the first deriviative,
> because at an inflection point, a curve does not necessarily change 
> monoticity.
> In fact, I *believe* (but have no theorem to cite) that a curve cannot have a
> local max/min at a point of inflection, and vice versa.

A common misconception.  y=x^4 is a trivial counter example.

HTH,
njh



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