Re: Intersection points of two contour plots

• To: mathgroup at smc.vnet.net
• Subject: [mg130676] Re: Intersection points of two contour plots
• From: "djmpark" <djmpark at comcast.net>
• Date: Wed, 1 May 2013 21:39:30 -0400 (EDT)
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• Delivered-to: l-mathgroup@wolfram.com
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• References: <31212095.569.1367393879367.JavaMail.root@m06>

```Do you want something like this:

ContourPlot[Sin[3 x y], {x, -3, 3}, {y, -3, 3},
Contours -> {0},
ContourStyle -> Red,
RegionFunction -> Function[{x, y}, x y <= 0],
Exclusions -> {x == 0, y == 0}]

David Park
djmpark at comcast.net
http://home.comcast.net/~djmpark/index.html

From: Luiz Melo [mailto:lmelo at ufsj.edu.br]

Hi group,
Please consider the example below to illustrate my question (the original
problem is somehow much more complicated):

t1 = Table[Sin[3 x*y], {x, -3, 3, .1}, {y, -3, 3, .1}];

t2 = Table[If[x*y < 0, Sin[3 x*y]], {x, -3, 3, .1}, {y, -3, 3, .1}];

p1 = ListContourPlot[t1, Contours -> {0}, ContourShading -> False,
DataRange -> {{-3, 3}, {-3, 3}}, ContourStyle -> Black];

p2 = ListContourPlot[t2, Contours -> {0}, ContourShading -> False,
DataRange -> {{-3, 3}, {-3, 3}}, ContourStyle -> {Red, Dashed, Thick}];

Show[p1, p2]

Is there a way to show only the results of the intersection of these two
contour plots?

Thank you
Luiz

```

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