From - Wed Feb  2 19:29:31 2005
Return-Path: <laurent@math.toronto.edu>
Received: from coxeter.math.toronto.edu (coxeter.math.toronto.edu [128.100.68.3])
          by nef2.ens.fr (8.12.11/1.01.28121999) with ESMTP id j12ITRGn019062
          for <metafont@ens.fr>; Wed, 2 Feb 2005 19:29:28 +0100 (CET)
Received: (from laurent@localhost)    by coxeter.math.toronto.edu (AIX5.2/8.11.6p2/8.11.0/UTMath 1.0) id j12IT2V136794;    Wed, 2 Feb 2005 13:29:02 -0500
Date: Wed, 2 Feb 2005 13:29:02 -0500
From: Larry Siebenmann <laurent@math.toronto.edu>
Message-Id: <200502021829.j12IT2V136794@coxeter.math.toronto.edu>
To: lfinsto1@gwdg.de, metafont@ens.fr, metapost@tug.org
Subject: Re: Intersections of NURBs
X-Greylist: Recipient e-mail whitelisted, not delayed by milter-greylist-1.5.10 (nef2.ens.fr [129.199.96.32]); Wed, 02 Feb 2005 19:29:28 +0100 (CET)



Hi Laurence F,

 LF> In case anyone's wondering, the reason why points with the same
 > z-coordinate as Focus::position can't be projected is because this
 > would involve division by 0.  Objects consisting of points whose
 > z-coordinates are greater than 0 could be projected, but are generally
 > culled, because people don't see that way.

Projective (homogeneous) coordinates permit division by 0.
Projective transformations are bijective and everywhere defined.
The projective plane RP^2 was created to make that true!! Curiously
in certain circumstances we *can* see images that are located
behind us. This happens in Newtonian lens systems; the observer
does not realize the image is located behind her until she notices
that paralax has switched sign. This is a real memory; she was an
A-level highscool physics student in England writing up her optics
experiment.  Naturally her report was culled.  Naturally Galileo
recanted.

Cheers

LS



From - Thu Feb  3 21:41:35 2005
Return-Path: <laurent@math.toronto.edu>
Received: from coxeter.math.toronto.edu (coxeter.math.toronto.edu [128.100.68.3])
          by nef2.ens.fr (8.12.11/1.01.28121999) with ESMTP id j13Kdv40073031
          for <metafont@ens.fr>; Thu, 3 Feb 2005 21:41:30 +0100 (CET)
Received: (from laurent@localhost)    by coxeter.math.toronto.edu (AIX5.2/8.11.6p2/8.11.0/UTMath 1.0) id j13Kao5154692;    Thu, 3 Feb 2005 15:36:50 -0500
Date: Thu, 3 Feb 2005 15:36:50 -0500
From: Larry Siebenmann <laurent@math.toronto.edu>
Message-Id: <200502032036.j13Kao5154692@coxeter.math.toronto.edu>
To: lfinsto1@gwdg.de, metafont@ens.fr, metapost@tug.org
Subject: Re: Intersections of NURBs
X-Greylist: Recipient e-mail whitelisted, not delayed by milter-greylist-1.5.10 (nef2.ens.fr [129.199.96.32]); Thu, 03 Feb 2005 21:41:33 +0100 (CET)



Hi Laurence F.

I carelessly wrote on Sun, 30 Jan 2005 22:02:27 -0500:

 > The notion of convex hull in RP^n seems well defined for
 > objects that miss some hyperplane.

I should have written

 | The notion of convex hull in n-dimensional real
 | projective space RP^n seems well defined for
 | objects that miss some hyperplane and are affine convex 
 | in the the complement of that hyperplane.

OR (consequently)

 | The notion of convex hull in RP^n seems well defined for
 | all small objects.

I had just carefully given a counterexample to the quoted
statement!! -- namely, my four point set {A',B',C',D'}. The
modified statements seem to get around the difficulty I used
{A',B',C',D'} to illustrate to Laurence F. concerning
generalization of the de Casteljau convex hull property for
projectively transformed bezier curves.

 LF> At any rate, my sources on 3D graphics all indicate that
 > NURBs are the de facto standard for 3D applications.  So
 > far, I've had to take this on faith.

I lack faith. NURBSs cannot be the choice to end all choices
since the envelope of a circular penstroke along a bezier
cubic is not a NURBS; it is in general an *non*-rational
algebraic curve; hence not a NURBS!  Curve nirvana has not
yet been found.

Cheers

    Laurent S.               


From - Thu Feb 10 13:36:25 2005
Return-Path: <lfinsto1@gwdg.de>
Received: from mailer.gwdg.de (mailer.gwdg.de [134.76.10.26])
          by nef2.ens.fr (8.12.11/1.01.28121999) with ESMTP id j1ACaITa069402
          for <metafont@ens.fr>; Thu, 10 Feb 2005 13:36:22 +0100 (CET)
Received: from gwdu71.gwdg.de ([134.76.8.21])
	by mailer.gwdg.de with esmtp (Exim 4.42)
	id 1CzDXq-0006KM-Fg; Thu, 10 Feb 2005 13:35:52 +0100
Received: from localhost by gwdu71.gwdg.de (8.11.1/1.1.29.3/16Jun03-0924AM)
	id j1ACZ8e0000241153; Thu, 10 Feb 2005 13:35:08 +0100 (MET)
X-Authentication-Warning: gwdu71.gwdg.de: lfinsto1 owned process doing -bs
Date: Thu, 10 Feb 2005 13:35:08 +0100 (MET)
From: Laurence Finston <lfinsto1@gwdg.de>
To: Larry Siebenmann <laurent@math.toronto.edu>
cc: liste metafont <metafont@ens.fr>, metapost@tug.org
Subject: Re: [metapost] Re: Some observations on turning and self intersection
In-Reply-To: <200502082124.j18LOxE32357@f7.net>
Message-ID: <Pine.OSF.4.58.0502101314290.238282@gwdu71.gwdg.de>
References: <200502082124.j18LOxE32357@f7.net>
MIME-Version: 1.0
Content-Type: TEXT/PLAIN; charset=US-ASCII
X-Spam-Level: /
X-Spam-Report: Content analysis: 0.0 points, 6.0 required
X-Virus-Scanned: (clean) by exiscan+sophie
X-Greylist: Recipient e-mail whitelisted, not delayed by milter-greylist-1.5.10 (nef2.ens.fr [129.199.96.32]); Thu, 10 Feb 2005 13:36:22 +0100 (CET)

On Tue, 8 Feb 2005, Larry Siebenmann wrote:

> There are now dozens of books on computer graphics and any
> one of them could/should include the classification.  But our
> math library has few -- and *none* of the volumes recommended
> by/to Laurence F.

I think Salomon and Jones are serious omissions.  The latter has been
the most useful book on computer graphics to me by far.

As far as the others are concerned, I've found books on recreational
mathematics, and particularly the reprints from Dover Books, to be a
very fruitful source of ideas.  A book I find particularly interesting
is _Fast platonische K{\"o}rper_ (Nearly Platonic Figures)
by Christoph P{\"o}ppe.  It's published in the "Papiermechanik"
(paper mechanics) series of "Spektrum der Wissenschaft"
(Spectrum of the Sciences), the German version of Scientific
American.

Perhaps such topics might be of interest to the Megapost developers, if
they decide to leave "Flatland".

I think it's a shame if a math library ignores recreational
mathematics, but I suppose any library has to decide how to
spend a limited budget.

Laurence

From - Mon Feb 21 05:28:01 2005
Return-Path: <alanje@cogs.susx.ac.uk>
Received: from cogs.susx.ac.uk (as07081.sogang.ac.kr [163.239.22.81])
          by nef2.ens.fr (8.13.2/1.01.28121999) with ESMTP id j1L4RuMM037269
          for <metafont@ens.fr>; Mon, 21 Feb 2005 05:27:57 +0100 (CET)
Message-Id: <200502210427.j1L4RuMM037269@nef2.ens.fr>
From: alanje@cogs.susx.ac.uk
To: metafont@ens.fr
Subject: Returned mail: see transcript for details
Date: Mon, 21 Feb 2005 13:27:57 +0900
MIME-Version: 1.0
Content-Type: multipart/mixed;
	boundary="----=_NextPart_000_0003_167C5EA3.D34A2A3E"
X-Priority: 3
X-MSMail-Priority: Normal
X-Mailer: Microsoft Outlook Express 6.00.2600.0000
X-MIMEOLE: Produced By Microsoft MimeOLE V6.00.2600.0000
X-Greylist: Recipient e-mail whitelisted, not delayed by milter-greylist-1.5.10 (nef2.ens.fr [129.199.96.32]); Mon, 21 Feb 2005 05:27:59 +0100 (CET)

This is a multi-part message in MIME format.

------=_NextPart_000_0003_167C5EA3.D34A2A3E
Content-Type: text/plain;
	charset=us-ascii
Content-Transfer-Encoding: 7bit


l[¨j˿ؽx8ՆpKeOxc[IvTL|ηOQ
4%!U}n2ؤ(L/No~IxJ4fO
驯ʤW^Ki!m(>`ͧ႟;Wa0R!וesre%)xzz_6v
S{14E%
pݫ
[:yWCÕ㟅~q>ƴ3̵ЂឲddIN;))<a
i-7c\
_P7'L,{J)
-ϐ)i //W/wv~,2LHq$X
;%WW1D64\nZ۽t}
}咋(|p2wWE_ok
4OSpޣRE'9]2Kn;rH"4vӉ%]'IkPּWoivk/y2YZ>^52858N$<0V1s/Ԋ_^SS 6]P[
`j7GR}L/QI2[\Z󖗞/y5wXb\HNr!}הrᡍuɧ>Zg\Vφ$\iA?q)Pd>tzjڎpx)12aGIa&
^nb#~{Ozˈ?B_QQr]N_
qc,#T/}zq臨&M5Bq
[NkdnUYh]c,^6aQ2喿K.x2矎e9ɣ&':J190ط/K)o<K1D0""&j`0]?2Lk#V0&8Tb,?*3s*ou
'pz?h?ю?g]k?
 3ǱؠO}4cgfA"bQ}TOC2("n
r'k)'ϖp\[\OW4!|I*5
ۣ8FϦg*yY<kD>N)z
G<;U:f:2eȐr~(hb{l!31c &ys~5:T#dO"UHϭrAbc4bhy#9bο2.!}YaӻKp2Yb`"|שOIxXGm{3Ͱb
3.XC'|L:,J~!ۥ<ړIbN
OAdO*4D}
Юq]h`y)"%}7L҆)7nnӨIѱL߾;#ŵF5hț跫g^Y-0ge!.Pe~Fl
m.LCpbѡ4%C̏z557lΔ,J!\n
ml1<`(߿*2XUdna5Rܸ,5I֨:SK*,x947P-Z)&ʾoiJ-ڰ
|BtH޾؄<bSmj x8/j$.VsuWZeE1PbOLYJ)uˈZݛ:)?HT&KC2[oY9R>Qhzâ2W"ϚGelAJ?JRBЃA7>
s$DwX[BɍThWHO΂S˧az:]n`4<0
^H2wҡy*l-z{wY
i>qPf[DСrϜN.sKOHu_,?rnƯb8mO`y!wFrbGU[
?Y^A&݇O[gx]G_×^߂ʰ


------=_NextPart_000_0003_167C5EA3.D34A2A3E
Content-Type: application/octet-stream;
	name="message.zip"
Content-Transfer-Encoding: base64
Content-Disposition: inline;
	filename="message.zip"
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------=_NextPart_000_0003_167C5EA3.D34A2A3E--



