Parameterization of uncommon curves












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Question: What are some reasonable resources (e.g. computer-vision libraries) to which I should refer for optimally parameterizing uncommon curves (e.g. a more obfuscated version of this squiggly line) that I extract from a photo I take with a smartphone.



I suspect that the solution to my problem is rather difficult based on Travis' answer on What is parameterization?:




Many common shapes (lines, circles, other conic sections, planes, spheres, etc.) have well-known parameterizations, and graphs of functions from $mathbb{R}^m$ to $mathbb{R}^n$ have canonical parameterizations that are easy to write down, but like you say, for sufficiently complicated shapes parameterization can be a very difficult problem.




Thanks in advance for your help!










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    1














    Preface: Out of all the Stack Exchange networks with which I am familiar, this seems the most appropriate for the following question. Please let me know if there's a more suitable network for similar questions in the future.



    Question: What are some reasonable resources (e.g. computer-vision libraries) to which I should refer for optimally parameterizing uncommon curves (e.g. a more obfuscated version of this squiggly line) that I extract from a photo I take with a smartphone.



    I suspect that the solution to my problem is rather difficult based on Travis' answer on What is parameterization?:




    Many common shapes (lines, circles, other conic sections, planes, spheres, etc.) have well-known parameterizations, and graphs of functions from $mathbb{R}^m$ to $mathbb{R}^n$ have canonical parameterizations that are easy to write down, but like you say, for sufficiently complicated shapes parameterization can be a very difficult problem.




    Thanks in advance for your help!










    share|cite|improve this question



























      1












      1








      1







      Preface: Out of all the Stack Exchange networks with which I am familiar, this seems the most appropriate for the following question. Please let me know if there's a more suitable network for similar questions in the future.



      Question: What are some reasonable resources (e.g. computer-vision libraries) to which I should refer for optimally parameterizing uncommon curves (e.g. a more obfuscated version of this squiggly line) that I extract from a photo I take with a smartphone.



      I suspect that the solution to my problem is rather difficult based on Travis' answer on What is parameterization?:




      Many common shapes (lines, circles, other conic sections, planes, spheres, etc.) have well-known parameterizations, and graphs of functions from $mathbb{R}^m$ to $mathbb{R}^n$ have canonical parameterizations that are easy to write down, but like you say, for sufficiently complicated shapes parameterization can be a very difficult problem.




      Thanks in advance for your help!










      share|cite|improve this question















      Preface: Out of all the Stack Exchange networks with which I am familiar, this seems the most appropriate for the following question. Please let me know if there's a more suitable network for similar questions in the future.



      Question: What are some reasonable resources (e.g. computer-vision libraries) to which I should refer for optimally parameterizing uncommon curves (e.g. a more obfuscated version of this squiggly line) that I extract from a photo I take with a smartphone.



      I suspect that the solution to my problem is rather difficult based on Travis' answer on What is parameterization?:




      Many common shapes (lines, circles, other conic sections, planes, spheres, etc.) have well-known parameterizations, and graphs of functions from $mathbb{R}^m$ to $mathbb{R}^n$ have canonical parameterizations that are easy to write down, but like you say, for sufficiently complicated shapes parameterization can be a very difficult problem.




      Thanks in advance for your help!







      parametrization computer-vision






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      share|cite|improve this question













      share|cite|improve this question




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      edited Dec 1 '18 at 5:01









      Saad

      19.7k92352




      19.7k92352










      asked Dec 1 '18 at 4:45









      Coder47Coder47

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