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Empirical Inference Technical Report 2008

Simultaneous Implicit Surface Reconstruction and Meshing

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Empirical Inference
Bernhard Schölkopf
  • Director
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Empirical Inference
Markus Maier

We investigate an implicit method to compute a piecewise linear representation of a surface from a set of sample points. As implicit surface functions we use the weighted sum of piecewise linear kernel functions. For such a function we can partition Rd in such a way that these functions are linear on the subsets of the partition. For each subset in the partition we can then compute the zero level set of the function exactly as the intersection of a hyperplane with the subset.

Author(s): Giesen, J. and Maier, M. and Schölkopf, B.
Number (issue): 179
Year: 2008
Month: November
Day: 0
Bibtex Type: Technical Report (techreport)
Digital: 0
Electronic Archiving: grant_archive
Institution: Max-Planck Institute for Biological Cybernetics, Tübingen, Germany
Language: en
Organization: Max-Planck-Gesellschaft
School: Biologische Kybernetik
Links:

BibTex 

@techreport{5647,
  title = {Simultaneous Implicit Surface
  Reconstruction and Meshing},
  abstract = {We investigate an implicit method to compute a piecewise linear representation of a surface from a
  set of sample points. As implicit surface functions we use the weighted sum of piecewise linear kernel functions.
  For such a function we can partition Rd in such a way that these functions are linear on the subsets of the partition.
  For each subset in the partition we can then compute the zero level set of the function exactly as the intersection of
  a hyperplane with the subset.},
  number = {179},
  organization = {Max-Planck-Gesellschaft},
  institution = {Max-Planck Institute for Biological Cybernetics, Tübingen, Germany},
  school = {Biologische Kybernetik},
  month = nov,
  year = {2008},
  slug = {5647},
  author = {Giesen, J. and Maier, M. and Sch{\"o}lkopf, B.},
  month_numeric = {11}
}