Comparing discretized manifolds











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being quite unsure which keywords to search with, I have a quick question on comparing discrete manifolds:



Let's say we have have two smooth $2$-manifolds $M1$ and $M2$ in $mathbb R^3$. Of these only discretizations are known.



I would like to approximately calculate (as in calculate with a computer) the difference between those manifolds (aka point-wise $"-"$ in $R^3$) based on these discretizations.



Are you aware of any papers/books published regarding this topic, or keywords to search for?



Thanks in advance and please feel free to point out any stupidities in this question.










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    up vote
    1
    down vote

    favorite












    being quite unsure which keywords to search with, I have a quick question on comparing discrete manifolds:



    Let's say we have have two smooth $2$-manifolds $M1$ and $M2$ in $mathbb R^3$. Of these only discretizations are known.



    I would like to approximately calculate (as in calculate with a computer) the difference between those manifolds (aka point-wise $"-"$ in $R^3$) based on these discretizations.



    Are you aware of any papers/books published regarding this topic, or keywords to search for?



    Thanks in advance and please feel free to point out any stupidities in this question.










    share|cite|improve this question


























      up vote
      1
      down vote

      favorite









      up vote
      1
      down vote

      favorite











      being quite unsure which keywords to search with, I have a quick question on comparing discrete manifolds:



      Let's say we have have two smooth $2$-manifolds $M1$ and $M2$ in $mathbb R^3$. Of these only discretizations are known.



      I would like to approximately calculate (as in calculate with a computer) the difference between those manifolds (aka point-wise $"-"$ in $R^3$) based on these discretizations.



      Are you aware of any papers/books published regarding this topic, or keywords to search for?



      Thanks in advance and please feel free to point out any stupidities in this question.










      share|cite|improve this question















      being quite unsure which keywords to search with, I have a quick question on comparing discrete manifolds:



      Let's say we have have two smooth $2$-manifolds $M1$ and $M2$ in $mathbb R^3$. Of these only discretizations are known.



      I would like to approximately calculate (as in calculate with a computer) the difference between those manifolds (aka point-wise $"-"$ in $R^3$) based on these discretizations.



      Are you aware of any papers/books published regarding this topic, or keywords to search for?



      Thanks in advance and please feel free to point out any stupidities in this question.







      computational-geometry discrete-geometry






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      share|cite|improve this question













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      edited Nov 27 at 13:39









      amWhy

      191k28223439




      191k28223439










      asked Nov 27 at 13:33









      AlexNe

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      62



























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