Re: Re: Re: ListCurvePathPlot

*To*: mathgroup at smc.vnet.net*Subject*: [mg96015] Re: [mg95995] Re: [mg95935] Re: [mg95909] ListCurvePathPlot*From*: peter <plindsay.0 at gmail.com>*Date*: Sun, 1 Feb 2009 04:41:39 -0500 (EST)*References*: <200901291058.FAA18253@smc.vnet.net>

doesn't this just underline the impression that Wolfram are dropping the ball on documentation ? Doesn't matter how clever the programmers or the users are - unless the product is authoritatively documented, it is incomplete. Peter 2009/1/31 DrMajorBob <btreat1 at austin.rr.com>: > Interesting? Yes. > > Useful? I don't see how! > > Bobby > > On Fri, 30 Jan 2009 04:44:00 -0600, Curtis Osterhoudt <cfo at lanl.gov> wrote: > >> The following is rather interesting. I think it (with some imagination) >> conforms to the definition given in the Mathematica Documentation, but >> it wasn't what I was expecting. >> >> data = Table[RandomReal[{-1.3, 1.2}]*{Cos[t], Sin[t]}, >> {t, 0, 6*Pi - 2*(Pi/6), Pi/6.1}]; >> >> >> {{0.25002688366379333, 0.}, {0.9356799430343185, >> 0.5295589611737038}, >> {0.10118796319464748, 0.16851424646497157}, >> {-0.029188553024956546, -1.1332520553860652}, >> {-0.23082153680912088, 0.4335135296822279}, >> {0.7576710364167465, -0.48192811086842924}, >> {0.9705776190593385, -0.05003046313427862}, >> {1.0962492703177467, 0.5479411095599908}, >> {0.6370536297044893, 0.9468064433345135}, {0.03136422751102095, >> 0.4051894691695028}, {0.364963285556999, -0.7797519520786809}, >> {-0.9341065689324766, 0.6640763628660812}, >> {0.013137997466309304, -0.0013580598861936942}, >> {-0.6906567258137415, -0.301834640354331}, >> {0.566523954686374, 0.7549438704279434}, {0.07549928355009236, >> 0.5831410479690148}, {0.4000794379862568, -0.9837423213746447}, >> {0.24638452631107208, -0.19500664556832673}, >> {1.1421844045687481, -0.17789046644213574}, >> {0.11779527337621096, 0.04440716210668134}, >> {-0.10502847445807519, -0.12589786231771516}, >> {0.20288991501930384, 1.1133525098565278}, >> {0.19075826931350767, -0.54838931166244}, {-0.013717694614866967, >> 0.012056157937833439}, {0.8381916063026793, \ >> -0.17515740827734855}, >> {-0.7711479671903417, -0.24617764515949736}, >> {0.5886009181985181, 0.6359230898649515}, {-0.2787870392560766, >> -1.1813146432588384}, {-0.04025184234997148, 0.1382818883263678}, >> {0.29420624689007885, -0.2867261088679789}, >> {0.6823920131526263, -0.17971101963053693}, >> {1.1400162086445282, 0.3002284190055794}, {-0.13739394197848387, >> -0.13390072706458242}, {0.00505513032785771, >> 0.017366483784624985}, >> {0.10886543986338092, -0.4612995589701644}} >> >> ListCurvePathPlot[data, Axes -> False] >> >> --C.O. >> >> >> >> >> >> On Thursday 29 January 2009 03:58:55 David Park wrote: >>> I don't understand the new ListCurvePathPlot, which the Help page says: >>> "attempts to reconstruct smooth curves defined by the specified set of >>> points." >>> >>> >>> >>> This plot routine also has the option: InterpolationOrder. And the word >>> "Curve" appears not only in the name but repeatedly in the descriptions. >>> But look at the following example: >>> >>> >>> >>> data = Table[ >>> >>> RandomReal[{.8, 1.2}] {Cos[t], Sin[t]}, {t, 0, 2 \[Pi] - 2 \[Pi]/6, >>> >>> 2 \[Pi]/6}]; >>> >>> ListCurvePathPlot[data, >>> >>> InterpolationOrder -> 3, >>> >>> Axes -> False] >>> >>> >>> >>> I don't see anything "smooth" or "curvy" about the results! So it seems >>> that these terms are a misdirection in understanding the use of the >>> routine. >>> It appears that what the routine actually does is reorder the points to >>> give >>> some simpler line (not curve) than the original set of points. But what >>> is >>> the criterion for this? Is this some well know computational geometry >>> algorithm? Was InterpolationOrder included as an option by mistake? Did >>> the >>> implementation change from the original intention? What is the purpose >>> of >>> the routine? What is the relation of this and the spline functions? >>> >>> >>> >>> David Park >>> >>> djmpark at comcast.net >>> >>> <http://home.comcast.net/~djmpark> http://home.comcast.net/~djmpark/ >>> >>> >> >> >> > > > > -- > DrMajorBob at longhorns.com > >

**Follow-Ups**:**Re: ListCurvePathPlot***From:*ucervan@gmail.com

**Re: Re: Re: Re: ListCurvePathPlot***From:*Murray Eisenberg <murray@math.umass.edu>