A Topological Method of Surface Representation

  • Vladimir Kovalevsky
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1568)


A new method of representing a surface in the 3D space as a single digitally continuous sequence of faces is described. The method is based on topological properties of quasi-manifolds. It is realized as tracing the boundary of a growing set of labeled faces. As the result the surface is encoded as a single sequence of mutually adjacent faces. Each face is encoded by one byte. The code of the surface of a three-dimensional object takes much less memory space then the raster representation of the object. The object may be exactly reconstructed from the code. Surfaces of a genus greater that zero (e.g. that of a torus) may also be encoded by a single continuous sequence. The traversal algorithm recognizes the genus of the surface.


Adjacent Pixel Euler Number Surface Representation Boundary Pixel Boundary Crack 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • Vladimir Kovalevsky
    • 1
  1. 1.Technische Fachhochschule BerlinBerlinGermany

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