3D SHAPE RECONSTRUCTION USING VOLUME INTERSECTION TECHNIQUES
Jonathan C. Carr
September 1997
This paper presents a technique for reconstructing objects from noisy boundary data that are scattered, unorganised and incomplete. Volume intersection algorithms are used to reconstruct incomplete objects from their silhouettes. An imagined light source is moved about the data and the cumulative amount of `light' seen at each point in space is interpreted as indicating the likelihood that the point is inside the object. The object data need not be uniformly distributed nor exclusively come from the surface of the object. Explicit identification of false object data and distinction between surface and interior data are avoided. A limitation of volume intersection algorithms is their inability to reconstruct concave surfaces. We show how the dependency of the visual hull of an object on the viewing region can be used to resolve concavities. The novel concept of a localised viewing region is introduced and shown to improve the ability of the method to reconstruct complex shapes in the presence of noise. Algorithms for 2D pixel and 3D voxel data are described and applied to 3D ultrasound data.
If you have difficulty viewing files that end '.gz'
,
which are gzip compressed, then you may be able to find
tools to uncompress them at the gzip
web site.
If you have difficulty viewing files that are in PostScript, (ending
'.ps'
or '.ps.gz'
), then you may be able to
find tools to view them at
the gsview
web site.
We have attempted to provide automatically generated PDF copies of documents for which only PostScript versions have previously been available. These are clearly marked in the database - due to the nature of the automatic conversion process, they are likely to be badly aliased when viewed at default resolution on screen by acroread.