How can an equation having ColorDistance function be solved?












6












$begingroup$


I wish to extract the colors on the L axis in the CIELab color space such that the CIE2000 distance between a corresponding color and LABColor[0., 0., 0.] will be gradually increasing by a factor 0.01. For example, {LABColor[0, 0, 0], LABColor[0.01733965, 0, 0], LABColor[0.0344219, 0, 0], LABColor[0.0512525, 0, 0], LABColor[0.0678371, 0, 0], LABColor[0.0841806, 0, 0], LABColor[0.100288, 0, 0]} are the first few colors in this series. I have got these values by manually checking. However, to automate this, when I tried the following (to get the second element in the series)



Solve[ColorDistance[LABColor[0, 0, 0], LABColor[l, 0, 0], 
DistanceFunction -> "CIE2000"] == 0.01, l]


I got an error message.



How can I automate this process to complete the series.










share|improve this question









$endgroup$

















    6












    $begingroup$


    I wish to extract the colors on the L axis in the CIELab color space such that the CIE2000 distance between a corresponding color and LABColor[0., 0., 0.] will be gradually increasing by a factor 0.01. For example, {LABColor[0, 0, 0], LABColor[0.01733965, 0, 0], LABColor[0.0344219, 0, 0], LABColor[0.0512525, 0, 0], LABColor[0.0678371, 0, 0], LABColor[0.0841806, 0, 0], LABColor[0.100288, 0, 0]} are the first few colors in this series. I have got these values by manually checking. However, to automate this, when I tried the following (to get the second element in the series)



    Solve[ColorDistance[LABColor[0, 0, 0], LABColor[l, 0, 0], 
    DistanceFunction -> "CIE2000"] == 0.01, l]


    I got an error message.



    How can I automate this process to complete the series.










    share|improve this question









    $endgroup$















      6












      6








      6


      1



      $begingroup$


      I wish to extract the colors on the L axis in the CIELab color space such that the CIE2000 distance between a corresponding color and LABColor[0., 0., 0.] will be gradually increasing by a factor 0.01. For example, {LABColor[0, 0, 0], LABColor[0.01733965, 0, 0], LABColor[0.0344219, 0, 0], LABColor[0.0512525, 0, 0], LABColor[0.0678371, 0, 0], LABColor[0.0841806, 0, 0], LABColor[0.100288, 0, 0]} are the first few colors in this series. I have got these values by manually checking. However, to automate this, when I tried the following (to get the second element in the series)



      Solve[ColorDistance[LABColor[0, 0, 0], LABColor[l, 0, 0], 
      DistanceFunction -> "CIE2000"] == 0.01, l]


      I got an error message.



      How can I automate this process to complete the series.










      share|improve this question









      $endgroup$




      I wish to extract the colors on the L axis in the CIELab color space such that the CIE2000 distance between a corresponding color and LABColor[0., 0., 0.] will be gradually increasing by a factor 0.01. For example, {LABColor[0, 0, 0], LABColor[0.01733965, 0, 0], LABColor[0.0344219, 0, 0], LABColor[0.0512525, 0, 0], LABColor[0.0678371, 0, 0], LABColor[0.0841806, 0, 0], LABColor[0.100288, 0, 0]} are the first few colors in this series. I have got these values by manually checking. However, to automate this, when I tried the following (to get the second element in the series)



      Solve[ColorDistance[LABColor[0, 0, 0], LABColor[l, 0, 0], 
      DistanceFunction -> "CIE2000"] == 0.01, l]


      I got an error message.



      How can I automate this process to complete the series.







      list-manipulation equation-solving color






      share|improve this question













      share|improve this question











      share|improve this question




      share|improve this question










      asked 19 hours ago









      MajisMajis

      1,477415




      1,477415






















          1 Answer
          1






          active

          oldest

          votes


















          8












          $begingroup$

          f[l_?NumericQ] := 
          ColorDistance[LABColor[0, 0, 0], LABColor[l, 0, 0], DistanceFunction -> "CIE2000"]

          FindRoot[f[l] == 0.01, {l, .5}]
          (* {l -> 0.0173396} *)


          ColorDistance does not work with symbolic inputs. Write a function that evaluates with numeric inputs only.



          Solve is meant for exact symbolic computations. Use FindRoot instead.






          share|improve this answer









          $endgroup$













          • $begingroup$
            Perfect. Now I can get the complete list. Thanks.
            $endgroup$
            – Majis
            18 hours ago












          Your Answer





          StackExchange.ifUsing("editor", function () {
          return StackExchange.using("mathjaxEditing", function () {
          StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
          StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
          });
          });
          }, "mathjax-editing");

          StackExchange.ready(function() {
          var channelOptions = {
          tags: "".split(" "),
          id: "387"
          };
          initTagRenderer("".split(" "), "".split(" "), channelOptions);

          StackExchange.using("externalEditor", function() {
          // Have to fire editor after snippets, if snippets enabled
          if (StackExchange.settings.snippets.snippetsEnabled) {
          StackExchange.using("snippets", function() {
          createEditor();
          });
          }
          else {
          createEditor();
          }
          });

          function createEditor() {
          StackExchange.prepareEditor({
          heartbeatType: 'answer',
          autoActivateHeartbeat: false,
          convertImagesToLinks: false,
          noModals: true,
          showLowRepImageUploadWarning: true,
          reputationToPostImages: null,
          bindNavPrevention: true,
          postfix: "",
          imageUploader: {
          brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
          contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
          allowUrls: true
          },
          onDemand: true,
          discardSelector: ".discard-answer"
          ,immediatelyShowMarkdownHelp:true
          });


          }
          });














          draft saved

          draft discarded


















          StackExchange.ready(
          function () {
          StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmathematica.stackexchange.com%2fquestions%2f194658%2fhow-can-an-equation-having-colordistance-function-be-solved%23new-answer', 'question_page');
          }
          );

          Post as a guest















          Required, but never shown

























          1 Answer
          1






          active

          oldest

          votes








          1 Answer
          1






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes









          8












          $begingroup$

          f[l_?NumericQ] := 
          ColorDistance[LABColor[0, 0, 0], LABColor[l, 0, 0], DistanceFunction -> "CIE2000"]

          FindRoot[f[l] == 0.01, {l, .5}]
          (* {l -> 0.0173396} *)


          ColorDistance does not work with symbolic inputs. Write a function that evaluates with numeric inputs only.



          Solve is meant for exact symbolic computations. Use FindRoot instead.






          share|improve this answer









          $endgroup$













          • $begingroup$
            Perfect. Now I can get the complete list. Thanks.
            $endgroup$
            – Majis
            18 hours ago
















          8












          $begingroup$

          f[l_?NumericQ] := 
          ColorDistance[LABColor[0, 0, 0], LABColor[l, 0, 0], DistanceFunction -> "CIE2000"]

          FindRoot[f[l] == 0.01, {l, .5}]
          (* {l -> 0.0173396} *)


          ColorDistance does not work with symbolic inputs. Write a function that evaluates with numeric inputs only.



          Solve is meant for exact symbolic computations. Use FindRoot instead.






          share|improve this answer









          $endgroup$













          • $begingroup$
            Perfect. Now I can get the complete list. Thanks.
            $endgroup$
            – Majis
            18 hours ago














          8












          8








          8





          $begingroup$

          f[l_?NumericQ] := 
          ColorDistance[LABColor[0, 0, 0], LABColor[l, 0, 0], DistanceFunction -> "CIE2000"]

          FindRoot[f[l] == 0.01, {l, .5}]
          (* {l -> 0.0173396} *)


          ColorDistance does not work with symbolic inputs. Write a function that evaluates with numeric inputs only.



          Solve is meant for exact symbolic computations. Use FindRoot instead.






          share|improve this answer









          $endgroup$



          f[l_?NumericQ] := 
          ColorDistance[LABColor[0, 0, 0], LABColor[l, 0, 0], DistanceFunction -> "CIE2000"]

          FindRoot[f[l] == 0.01, {l, .5}]
          (* {l -> 0.0173396} *)


          ColorDistance does not work with symbolic inputs. Write a function that evaluates with numeric inputs only.



          Solve is meant for exact symbolic computations. Use FindRoot instead.







          share|improve this answer












          share|improve this answer



          share|improve this answer










          answered 19 hours ago









          SzabolcsSzabolcs

          163k14447944




          163k14447944












          • $begingroup$
            Perfect. Now I can get the complete list. Thanks.
            $endgroup$
            – Majis
            18 hours ago


















          • $begingroup$
            Perfect. Now I can get the complete list. Thanks.
            $endgroup$
            – Majis
            18 hours ago
















          $begingroup$
          Perfect. Now I can get the complete list. Thanks.
          $endgroup$
          – Majis
          18 hours ago




          $begingroup$
          Perfect. Now I can get the complete list. Thanks.
          $endgroup$
          – Majis
          18 hours ago


















          draft saved

          draft discarded




















































          Thanks for contributing an answer to Mathematica Stack Exchange!


          • Please be sure to answer the question. Provide details and share your research!

          But avoid



          • Asking for help, clarification, or responding to other answers.

          • Making statements based on opinion; back them up with references or personal experience.


          Use MathJax to format equations. MathJax reference.


          To learn more, see our tips on writing great answers.




          draft saved


          draft discarded














          StackExchange.ready(
          function () {
          StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmathematica.stackexchange.com%2fquestions%2f194658%2fhow-can-an-equation-having-colordistance-function-be-solved%23new-answer', 'question_page');
          }
          );

          Post as a guest















          Required, but never shown





















































          Required, but never shown














          Required, but never shown












          Required, but never shown







          Required, but never shown

































          Required, but never shown














          Required, but never shown












          Required, but never shown







          Required, but never shown







          Popular posts from this blog

          What other Star Trek series did the main TNG cast show up in?

          Berlina muro

          Berlina aerponto