Discontinuity-preserving and viewpoint invariant reconstruction ofvisible surfaces using a first order regularization
Yi, J.H.
Chelberg, D.M.
Visualization & Intelligent Syst. Lab., California Univ., Riverside, CA;
This paper appears in: Pattern Analysis and Machine Intelligence, IEEE Transactions on
Publication Date: Jun 1995
Volume: 17,
Issue: 6
On page(s): 624-629
ISSN: 0162-8828
References Cited: 10
CODEN: ITPIDJ
INSPEC Accession Number: 4988902
Digital Object Identifier: 10.1109/34.387510
Current Version Published: 2002-08-06
Abstract
This paper describes the application of a first order
regularization technique to the reconstruction of visible surfaces. Our
approach is a computationally efficient first order method that
simultaneously achieves approximate invariance and preservation of
discontinuities. It is also robust with respect to the smoothing
parameter λ. The robustness property to λ allows a free
choice of λ without struggling to determine an optimal λ
that provides the best reconstruction. A new approximately invariant
first order stabilizing function for surface reconstruction is obtained
by employing a first order Taylor expansion of a nonconvex invariant
stabilizing function that is expanded at the estimated value of the
squared gradient instead of at zero. The data compatibility measure is
the squared perpendicular distance between the reconstructed surface and
the constraint surface. This combination of stabilizing function and
data compatibility measure is necessary to achieve invariance with
respect to rotations and translations. Sharp preservation of
discontinuities is achieved by a weighted sum of adjacent pixels. The
results indicate that the proposed methods perform well on sparse noisy
range data. In addition, the volume between two surfaces normalized by
the surface area (interpreted as average distance between two surfaces)
is proposed as an invariant measure for the comparison of reconstruction
results
Index
Terms
Available to subscribers and IEEE members.
References
Available to subscribers and IEEE members.
Citing Documents
Available to subscribers and IEEE members.
Cart
