MCMC-based Multiview Reconstruction of Piecewise Smooth Subdivision Curves with a Variable Number of Control Points

Download: PDF.

“MCMC-based Multiview Reconstruction of Piecewise Smooth Subdivision Curves with a Variable Number of Control Points” by M. Kaess, R. Zboinski, and F. Dellaert. In Eur. Conf. on Computer Vision, ECCV, (Prague, Czech Republic), May 2004, pp. 329-341. Acceptance ratio 34.2% (190 of 555).

Abstract

We investigate the automated reconstruction of piecewise smooth 3D curves, using subdivision curves as a simple but flexible curve representation. This representation allows tagging corners to model non-smooth features along otherwise smooth curves. We present a reversible jump Markov chain Monte Carlo approach which obtains an approximate posterior distribution over the number of control points and tags. In a Rao-Blackwellization scheme, we integrate out the control point locations, reducing the variance of the resulting sampler. We apply this general methodology to the reconstruction of piecewise smooth curves from multiple calibrated views, in which the object is segmented from the background using a Markov random field approach. Results are shown for multiple images of two pot shards as would be encountered in archaeological applications.

Download: PDF.

BibTeX entry:

@inproceedings{Kaess04eccv,
   author = {M. Kaess and R. Zboinski and F. Dellaert},
   title = {{MCMC}-based Multiview Reconstruction of Piecewise Smooth
	Subdivision Curves with a Variable Number of Control Points},
   booktitle = {Eur. Conf. on Computer Vision, ECCV},
   series = {Lecture Notes in Computer Science},
   volume = {3023},
   pages = {329-341},
   publisher = {Springer},
   address = {Prague, Czech Republic},
   month = {May},
   year = {2004},
   isbn = {3-540-21982-X},
   note = {Acceptance ratio 34.2% (190 of 555)}
}
Last updated: Aug 14, 2014