Date: 13/05/2013 21:11:29
From: CrazyNeutrino
ID: 310443
Subject: Math ∩ Programming

Math ∩ Programming
http://jeremykun.com/2013/05/11/bezier-curves-and-picasso/

Bezier Curves and Picasso
more….

as a visual artist I found this very interesting

maths fans here will enjoy it

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Date: 13/05/2013 21:17:11
From: wookiemeister
ID: 310445
Subject: re: Math ∩ Programming

Picasso knew nothing of maths

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Date: 13/05/2013 21:19:04
From: The Rev Dodgson
ID: 310448
Subject: re: Math ∩ Programming

CrazyNeutrino said:


Math ∩ Programming
http://jeremykun.com/2013/05/11/bezier-curves-and-picasso/

Bezier Curves and Picasso
more….

as a visual artist I found this very interesting

maths fans here will enjoy it

Thanks CN.

Coincidentally someone else sent me a link to that site a couple of days ago.

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Date: 13/05/2013 21:30:47
From: CrazyNeutrino
ID: 310456
Subject: re: Math ∩ Programming

wookiemeister said:


Picasso knew nothing of maths

I dont either much, but that didnt stop Picasso

I was thinking all that talk of nipple tape made me go looking on the net

side boobs

http://1.bp.blogspot.com/_xIUcoIUTMlw/S1vgOMGXPDI/AAAAAAAAAU4/EzlAqJiWEKo/s1600-h/measuring-bra-size.jpg

http://kotaku.com/5800379/strict-regulations-govern-the-breasts-of-soul-calibur

do side boobs have a bezier curve?

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Date: 13/05/2013 21:35:31
From: CrazyNeutrino
ID: 310460
Subject: re: Math ∩ Programming

more side boobs
http://3.bp.blogspot.com/-JgqMo5xtYxY/T60Zp8ntn3I/AAAAAAAAAaE/wyRptHWL3H8/s1600/breast-shapes-new.jpg

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Date: 22/05/2013 12:22:07
From: mollwollfumble
ID: 314969
Subject: re: Math ∩ Programming

> do side boobs have a bezier curve?

A fair enough question. Your second link is the one to consider, the first only gives one example and the third is too inaccurate.

The Bezier you’re thinking of here is cubic, not quadratic or part of a spline. The first question in my mind is how many curvature maxima a Bezier curve can have and where are they.

A Bezier curve can not generate a circle or a semicircle. A Bezier curve has no more than one point of inflection and (I think) no more than two local curvature maxima. So a single Bezier curve can’t generate an Omega shape for instance – like the far left example on your link. Also, a single Bezier curve can’t have a sudden change in slope anywhere along it, which rules out the fourth, fifth and sixth from the left.

With multiple Bezier curves you can generate a close approximation to any non-fractal curve, cubic splines are just Bezier curves joined end to end.

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