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Distance measures on a map of a game


min distance in a graphShortest distance path on contour plotHow to plot a tilted map?Finding points outside of a diskDelaunay link distanceAnnulus from GeoDisks: drawing a ring on a mapNegative Correlation DistanceFind distance along a path (GPS coordinates)Finding position at given distance in a GeoPathMathematics behind distance estimation using camera













8












$begingroup$


I have an image which my DM made of map for a DND game and I want to do two things.




  • Click on two points on my map, then based on the key for scaling have Mathematica tell me how far apart those points are.


  • Given a distance and a point that I click on, draw a circle about the given point that has the radius of the given distance.



enter image description here



If anyone will give me advice for how to get started on this project, I would be very grateful.










share|improve this question











$endgroup$

















    8












    $begingroup$


    I have an image which my DM made of map for a DND game and I want to do two things.




    • Click on two points on my map, then based on the key for scaling have Mathematica tell me how far apart those points are.


    • Given a distance and a point that I click on, draw a circle about the given point that has the radius of the given distance.



    enter image description here



    If anyone will give me advice for how to get started on this project, I would be very grateful.










    share|improve this question











    $endgroup$















      8












      8








      8


      5



      $begingroup$


      I have an image which my DM made of map for a DND game and I want to do two things.




      • Click on two points on my map, then based on the key for scaling have Mathematica tell me how far apart those points are.


      • Given a distance and a point that I click on, draw a circle about the given point that has the radius of the given distance.



      enter image description here



      If anyone will give me advice for how to get started on this project, I would be very grateful.










      share|improve this question











      $endgroup$




      I have an image which my DM made of map for a DND game and I want to do two things.




      • Click on two points on my map, then based on the key for scaling have Mathematica tell me how far apart those points are.


      • Given a distance and a point that I click on, draw a circle about the given point that has the radius of the given distance.



      enter image description here



      If anyone will give me advice for how to get started on this project, I would be very grateful.







      geographics interactive user-interface distance






      share|improve this question















      share|improve this question













      share|improve this question




      share|improve this question








      edited 5 hours ago







      Wombles

















      asked yesterday









      WomblesWombles

      1445




      1445






















          2 Answers
          2






          active

          oldest

          votes


















          12












          $begingroup$

          enter image description here



          Both tasks you outlined could be fused into a single app - screenshot is above. I assume that because this is a game the corrections due to geodetic model (flat map from non-flat planet surface) do not really matter (this was not mentioned in the project description). Here is a quite simple code to get you started that you can modify and upgrade.



          i = Import["https://i.stack.imgur.com/TVsMy.jpg"];

          Manipulate[
          Column[{
          Style["Advantures will take you "<>
          ToString[Round[.7595 RegionMeasure[N[Line[pt]]],.01]]
          <>" miles",20,FontFamily->"Herculanum"],
          HighlightImage[i,{Thickness[.003],Dashing[.01],
          Line[pt],
          Circle[pt[[1]],EuclideanDistance@@pt[[;;2]]]},
          ImageSize->800]
          },Alignment->Center],
          {{pt,{{1610,100},{2005,100}}},Locator,LocatorAutoCreate->True}]


          A few things to take a note:




          • In addition to the distance between 2 points you can build a whole path and measure its length.


          • Add or remove more path points with CMD(ALT)+CLICK on Mac (Win).


          • Decreasing image size will make your app faster


          • Scaling factor in front of RegionMeasure can be adjusted to match map scale. It is done by simply running app for the firs time when in initial stage the path is equal to the map scale length (see next image below). Then adjust the scaling factor so number in the title is equal to the number on the map scale.


          • In the initial state there are only 2 points and a circle centered at 1st and passing through 2nd. Dragging locators around and see how number in the title changes effectively solves your second task. Place 1st point at a needed location and then drag 2nd to measure needed radius that is indicated in the plot title and you get the circle you need.



          enter image description here






          share|improve this answer











          $endgroup$









          • 1




            $begingroup$
            This is amazing, thank you so much. One quick question though, I don't seem to be able to add the additional points like in your first screen shoot (in using windows)
            $endgroup$
            – Wombles
            5 hours ago












          • $begingroup$
            @Wombles you are welcome :) Read docs HERE especially details section. I corrected the post - on Win it is ALT+CLICK. Thanks for noting!
            $endgroup$
            – Vitaliy Kaurov
            5 hours ago






          • 1




            $begingroup$
            Yes, fantastic answer Vitaliy. I have often wanted to use Mathematica for my own DnD game - perhaps now I will :)
            $endgroup$
            – Carl Lange
            5 hours ago










          • $begingroup$
            Will do, i also need to download that sweet font too.
            $endgroup$
            – Wombles
            5 hours ago



















          3












          $begingroup$

          I have some advice, but it is just that, and not a solution to your problem.




          • Decide on a geodetic model for the world you are mapping. I recommend picking one of the geodetic models of planet Earth that Mathematica recognizes.

          • Decide on what the projection from a sphere to your map grid will be.

          • Use the built-in functions GeoGridPosition and GeoPosition to transform coordinates between the grid (map) and the model (sphere).

          • Look at GeoProjectionData to learn about Mathematica knows about projections.


          Note: depending on the projection you choose, a circle about a point on sphere may not appear as a circle on your map.



          BTW, nice looking map.






          share|improve this answer









          $endgroup$













          • $begingroup$
            Thank you for the advice and the starting point.
            $endgroup$
            – Wombles
            21 hours ago












          Your Answer





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          2 Answers
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          2 Answers
          2






          active

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          active

          oldest

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          active

          oldest

          votes









          12












          $begingroup$

          enter image description here



          Both tasks you outlined could be fused into a single app - screenshot is above. I assume that because this is a game the corrections due to geodetic model (flat map from non-flat planet surface) do not really matter (this was not mentioned in the project description). Here is a quite simple code to get you started that you can modify and upgrade.



          i = Import["https://i.stack.imgur.com/TVsMy.jpg"];

          Manipulate[
          Column[{
          Style["Advantures will take you "<>
          ToString[Round[.7595 RegionMeasure[N[Line[pt]]],.01]]
          <>" miles",20,FontFamily->"Herculanum"],
          HighlightImage[i,{Thickness[.003],Dashing[.01],
          Line[pt],
          Circle[pt[[1]],EuclideanDistance@@pt[[;;2]]]},
          ImageSize->800]
          },Alignment->Center],
          {{pt,{{1610,100},{2005,100}}},Locator,LocatorAutoCreate->True}]


          A few things to take a note:




          • In addition to the distance between 2 points you can build a whole path and measure its length.


          • Add or remove more path points with CMD(ALT)+CLICK on Mac (Win).


          • Decreasing image size will make your app faster


          • Scaling factor in front of RegionMeasure can be adjusted to match map scale. It is done by simply running app for the firs time when in initial stage the path is equal to the map scale length (see next image below). Then adjust the scaling factor so number in the title is equal to the number on the map scale.


          • In the initial state there are only 2 points and a circle centered at 1st and passing through 2nd. Dragging locators around and see how number in the title changes effectively solves your second task. Place 1st point at a needed location and then drag 2nd to measure needed radius that is indicated in the plot title and you get the circle you need.



          enter image description here






          share|improve this answer











          $endgroup$









          • 1




            $begingroup$
            This is amazing, thank you so much. One quick question though, I don't seem to be able to add the additional points like in your first screen shoot (in using windows)
            $endgroup$
            – Wombles
            5 hours ago












          • $begingroup$
            @Wombles you are welcome :) Read docs HERE especially details section. I corrected the post - on Win it is ALT+CLICK. Thanks for noting!
            $endgroup$
            – Vitaliy Kaurov
            5 hours ago






          • 1




            $begingroup$
            Yes, fantastic answer Vitaliy. I have often wanted to use Mathematica for my own DnD game - perhaps now I will :)
            $endgroup$
            – Carl Lange
            5 hours ago










          • $begingroup$
            Will do, i also need to download that sweet font too.
            $endgroup$
            – Wombles
            5 hours ago
















          12












          $begingroup$

          enter image description here



          Both tasks you outlined could be fused into a single app - screenshot is above. I assume that because this is a game the corrections due to geodetic model (flat map from non-flat planet surface) do not really matter (this was not mentioned in the project description). Here is a quite simple code to get you started that you can modify and upgrade.



          i = Import["https://i.stack.imgur.com/TVsMy.jpg"];

          Manipulate[
          Column[{
          Style["Advantures will take you "<>
          ToString[Round[.7595 RegionMeasure[N[Line[pt]]],.01]]
          <>" miles",20,FontFamily->"Herculanum"],
          HighlightImage[i,{Thickness[.003],Dashing[.01],
          Line[pt],
          Circle[pt[[1]],EuclideanDistance@@pt[[;;2]]]},
          ImageSize->800]
          },Alignment->Center],
          {{pt,{{1610,100},{2005,100}}},Locator,LocatorAutoCreate->True}]


          A few things to take a note:




          • In addition to the distance between 2 points you can build a whole path and measure its length.


          • Add or remove more path points with CMD(ALT)+CLICK on Mac (Win).


          • Decreasing image size will make your app faster


          • Scaling factor in front of RegionMeasure can be adjusted to match map scale. It is done by simply running app for the firs time when in initial stage the path is equal to the map scale length (see next image below). Then adjust the scaling factor so number in the title is equal to the number on the map scale.


          • In the initial state there are only 2 points and a circle centered at 1st and passing through 2nd. Dragging locators around and see how number in the title changes effectively solves your second task. Place 1st point at a needed location and then drag 2nd to measure needed radius that is indicated in the plot title and you get the circle you need.



          enter image description here






          share|improve this answer











          $endgroup$









          • 1




            $begingroup$
            This is amazing, thank you so much. One quick question though, I don't seem to be able to add the additional points like in your first screen shoot (in using windows)
            $endgroup$
            – Wombles
            5 hours ago












          • $begingroup$
            @Wombles you are welcome :) Read docs HERE especially details section. I corrected the post - on Win it is ALT+CLICK. Thanks for noting!
            $endgroup$
            – Vitaliy Kaurov
            5 hours ago






          • 1




            $begingroup$
            Yes, fantastic answer Vitaliy. I have often wanted to use Mathematica for my own DnD game - perhaps now I will :)
            $endgroup$
            – Carl Lange
            5 hours ago










          • $begingroup$
            Will do, i also need to download that sweet font too.
            $endgroup$
            – Wombles
            5 hours ago














          12












          12








          12





          $begingroup$

          enter image description here



          Both tasks you outlined could be fused into a single app - screenshot is above. I assume that because this is a game the corrections due to geodetic model (flat map from non-flat planet surface) do not really matter (this was not mentioned in the project description). Here is a quite simple code to get you started that you can modify and upgrade.



          i = Import["https://i.stack.imgur.com/TVsMy.jpg"];

          Manipulate[
          Column[{
          Style["Advantures will take you "<>
          ToString[Round[.7595 RegionMeasure[N[Line[pt]]],.01]]
          <>" miles",20,FontFamily->"Herculanum"],
          HighlightImage[i,{Thickness[.003],Dashing[.01],
          Line[pt],
          Circle[pt[[1]],EuclideanDistance@@pt[[;;2]]]},
          ImageSize->800]
          },Alignment->Center],
          {{pt,{{1610,100},{2005,100}}},Locator,LocatorAutoCreate->True}]


          A few things to take a note:




          • In addition to the distance between 2 points you can build a whole path and measure its length.


          • Add or remove more path points with CMD(ALT)+CLICK on Mac (Win).


          • Decreasing image size will make your app faster


          • Scaling factor in front of RegionMeasure can be adjusted to match map scale. It is done by simply running app for the firs time when in initial stage the path is equal to the map scale length (see next image below). Then adjust the scaling factor so number in the title is equal to the number on the map scale.


          • In the initial state there are only 2 points and a circle centered at 1st and passing through 2nd. Dragging locators around and see how number in the title changes effectively solves your second task. Place 1st point at a needed location and then drag 2nd to measure needed radius that is indicated in the plot title and you get the circle you need.



          enter image description here






          share|improve this answer











          $endgroup$



          enter image description here



          Both tasks you outlined could be fused into a single app - screenshot is above. I assume that because this is a game the corrections due to geodetic model (flat map from non-flat planet surface) do not really matter (this was not mentioned in the project description). Here is a quite simple code to get you started that you can modify and upgrade.



          i = Import["https://i.stack.imgur.com/TVsMy.jpg"];

          Manipulate[
          Column[{
          Style["Advantures will take you "<>
          ToString[Round[.7595 RegionMeasure[N[Line[pt]]],.01]]
          <>" miles",20,FontFamily->"Herculanum"],
          HighlightImage[i,{Thickness[.003],Dashing[.01],
          Line[pt],
          Circle[pt[[1]],EuclideanDistance@@pt[[;;2]]]},
          ImageSize->800]
          },Alignment->Center],
          {{pt,{{1610,100},{2005,100}}},Locator,LocatorAutoCreate->True}]


          A few things to take a note:




          • In addition to the distance between 2 points you can build a whole path and measure its length.


          • Add or remove more path points with CMD(ALT)+CLICK on Mac (Win).


          • Decreasing image size will make your app faster


          • Scaling factor in front of RegionMeasure can be adjusted to match map scale. It is done by simply running app for the firs time when in initial stage the path is equal to the map scale length (see next image below). Then adjust the scaling factor so number in the title is equal to the number on the map scale.


          • In the initial state there are only 2 points and a circle centered at 1st and passing through 2nd. Dragging locators around and see how number in the title changes effectively solves your second task. Place 1st point at a needed location and then drag 2nd to measure needed radius that is indicated in the plot title and you get the circle you need.



          enter image description here







          share|improve this answer














          share|improve this answer



          share|improve this answer








          edited 5 hours ago

























          answered 20 hours ago









          Vitaliy KaurovVitaliy Kaurov

          57.8k6162283




          57.8k6162283








          • 1




            $begingroup$
            This is amazing, thank you so much. One quick question though, I don't seem to be able to add the additional points like in your first screen shoot (in using windows)
            $endgroup$
            – Wombles
            5 hours ago












          • $begingroup$
            @Wombles you are welcome :) Read docs HERE especially details section. I corrected the post - on Win it is ALT+CLICK. Thanks for noting!
            $endgroup$
            – Vitaliy Kaurov
            5 hours ago






          • 1




            $begingroup$
            Yes, fantastic answer Vitaliy. I have often wanted to use Mathematica for my own DnD game - perhaps now I will :)
            $endgroup$
            – Carl Lange
            5 hours ago










          • $begingroup$
            Will do, i also need to download that sweet font too.
            $endgroup$
            – Wombles
            5 hours ago














          • 1




            $begingroup$
            This is amazing, thank you so much. One quick question though, I don't seem to be able to add the additional points like in your first screen shoot (in using windows)
            $endgroup$
            – Wombles
            5 hours ago












          • $begingroup$
            @Wombles you are welcome :) Read docs HERE especially details section. I corrected the post - on Win it is ALT+CLICK. Thanks for noting!
            $endgroup$
            – Vitaliy Kaurov
            5 hours ago






          • 1




            $begingroup$
            Yes, fantastic answer Vitaliy. I have often wanted to use Mathematica for my own DnD game - perhaps now I will :)
            $endgroup$
            – Carl Lange
            5 hours ago










          • $begingroup$
            Will do, i also need to download that sweet font too.
            $endgroup$
            – Wombles
            5 hours ago








          1




          1




          $begingroup$
          This is amazing, thank you so much. One quick question though, I don't seem to be able to add the additional points like in your first screen shoot (in using windows)
          $endgroup$
          – Wombles
          5 hours ago






          $begingroup$
          This is amazing, thank you so much. One quick question though, I don't seem to be able to add the additional points like in your first screen shoot (in using windows)
          $endgroup$
          – Wombles
          5 hours ago














          $begingroup$
          @Wombles you are welcome :) Read docs HERE especially details section. I corrected the post - on Win it is ALT+CLICK. Thanks for noting!
          $endgroup$
          – Vitaliy Kaurov
          5 hours ago




          $begingroup$
          @Wombles you are welcome :) Read docs HERE especially details section. I corrected the post - on Win it is ALT+CLICK. Thanks for noting!
          $endgroup$
          – Vitaliy Kaurov
          5 hours ago




          1




          1




          $begingroup$
          Yes, fantastic answer Vitaliy. I have often wanted to use Mathematica for my own DnD game - perhaps now I will :)
          $endgroup$
          – Carl Lange
          5 hours ago




          $begingroup$
          Yes, fantastic answer Vitaliy. I have often wanted to use Mathematica for my own DnD game - perhaps now I will :)
          $endgroup$
          – Carl Lange
          5 hours ago












          $begingroup$
          Will do, i also need to download that sweet font too.
          $endgroup$
          – Wombles
          5 hours ago




          $begingroup$
          Will do, i also need to download that sweet font too.
          $endgroup$
          – Wombles
          5 hours ago











          3












          $begingroup$

          I have some advice, but it is just that, and not a solution to your problem.




          • Decide on a geodetic model for the world you are mapping. I recommend picking one of the geodetic models of planet Earth that Mathematica recognizes.

          • Decide on what the projection from a sphere to your map grid will be.

          • Use the built-in functions GeoGridPosition and GeoPosition to transform coordinates between the grid (map) and the model (sphere).

          • Look at GeoProjectionData to learn about Mathematica knows about projections.


          Note: depending on the projection you choose, a circle about a point on sphere may not appear as a circle on your map.



          BTW, nice looking map.






          share|improve this answer









          $endgroup$













          • $begingroup$
            Thank you for the advice and the starting point.
            $endgroup$
            – Wombles
            21 hours ago
















          3












          $begingroup$

          I have some advice, but it is just that, and not a solution to your problem.




          • Decide on a geodetic model for the world you are mapping. I recommend picking one of the geodetic models of planet Earth that Mathematica recognizes.

          • Decide on what the projection from a sphere to your map grid will be.

          • Use the built-in functions GeoGridPosition and GeoPosition to transform coordinates between the grid (map) and the model (sphere).

          • Look at GeoProjectionData to learn about Mathematica knows about projections.


          Note: depending on the projection you choose, a circle about a point on sphere may not appear as a circle on your map.



          BTW, nice looking map.






          share|improve this answer









          $endgroup$













          • $begingroup$
            Thank you for the advice and the starting point.
            $endgroup$
            – Wombles
            21 hours ago














          3












          3








          3





          $begingroup$

          I have some advice, but it is just that, and not a solution to your problem.




          • Decide on a geodetic model for the world you are mapping. I recommend picking one of the geodetic models of planet Earth that Mathematica recognizes.

          • Decide on what the projection from a sphere to your map grid will be.

          • Use the built-in functions GeoGridPosition and GeoPosition to transform coordinates between the grid (map) and the model (sphere).

          • Look at GeoProjectionData to learn about Mathematica knows about projections.


          Note: depending on the projection you choose, a circle about a point on sphere may not appear as a circle on your map.



          BTW, nice looking map.






          share|improve this answer









          $endgroup$



          I have some advice, but it is just that, and not a solution to your problem.




          • Decide on a geodetic model for the world you are mapping. I recommend picking one of the geodetic models of planet Earth that Mathematica recognizes.

          • Decide on what the projection from a sphere to your map grid will be.

          • Use the built-in functions GeoGridPosition and GeoPosition to transform coordinates between the grid (map) and the model (sphere).

          • Look at GeoProjectionData to learn about Mathematica knows about projections.


          Note: depending on the projection you choose, a circle about a point on sphere may not appear as a circle on your map.



          BTW, nice looking map.







          share|improve this answer












          share|improve this answer



          share|improve this answer










          answered 21 hours ago









          m_goldbergm_goldberg

          88.3k872199




          88.3k872199












          • $begingroup$
            Thank you for the advice and the starting point.
            $endgroup$
            – Wombles
            21 hours ago


















          • $begingroup$
            Thank you for the advice and the starting point.
            $endgroup$
            – Wombles
            21 hours ago
















          $begingroup$
          Thank you for the advice and the starting point.
          $endgroup$
          – Wombles
          21 hours ago




          $begingroup$
          Thank you for the advice and the starting point.
          $endgroup$
          – Wombles
          21 hours ago


















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