A new approach for reconstruction of
3D surfaces from 2D cross-sectional contours is presented.
By using the so-called ``Equal Importance Criterion,'' we reconstruct the
surface based on the assumption that every point in the region
contributes equally to the
surface reconstruction process.
In this context, the problem is formulated in terms of
a partial differential equation (PDE), and we show
that the solution for dense contours can be
efficiently derived from distance transform. In the
case of sparse contours, we add a regularization
term to insure smoothness in surface recovery.
The proposed technique allows for surface recovery
at any desired resolution.
The main advantage of the proposed method
is that inherent problems due to correspondence, tiling, and
branching are avoided. Furthermore, the computed high resolution
surface is better represented
for subsequent geometric analysis.
We present results on both synthetic and real data.
click here to see the full version of this paper in PostScript format
Publication number: LBNL-42163