Contour-Based Surface Reconstruction using Implicit Curve Fitting, and Distance Field Filtering and Interpolation

Marker, Jeffrey; Braude, Ilya; Museth,  Ken; Breen,  David

Contour-Based Surface Reconstruction using Implicit Curve Fitting, and Distance Field Filtering and Interpolation

Files

095-102.pdf (364.03 KB)

Date

2006

Authors

Marker, Jeffrey
Braude, Ilya
Museth, Ken
Breen, David

Publisher

The Eurographics Association

Abstract

This paper presents a volumetric approach to reconstructing a smooth surface from a sparse set of paral- lel binary contours, e.g. those produced via histologic imaging. It creates a volume dataset by interpolating 2D filtered distance fields. The zero isosurface embedded in the computed volume provides the desired result. MPU implicit functions are fit to the input contours, defined as binary images, to produce smooth curves with controllable error bounds. Full 2D Euclidean distance fields are then calculated from the implicit curves. A distance-dependent Gaussian filter is applied to the distance fields to smooth their medial axis discontinuities. Monotonicity-constraining cubic splines are used to construct smooth, blending slices between the input slices. A mesh that approximates the zero isosurface is then extracted from the resulting volume. The effectiveness of the approach is demonstrated on a number of complex, multi-component contour datasets.

        @inproceedings{:10.2312/VG/VG06/095-102
,
booktitle = {Volume Graphics
},
editor = {Raghu Machiraju and Torsten Moeller
},
title = {{Contour-Based Surface Reconstruction using Implicit Curve Fitting, and Distance Field Filtering and Interpolation
}},
author = {Marker, Jeffrey and 
Braude, Ilya and 
Museth,  Ken and 
Breen,  David
},
year = {2006
},
publisher = {The Eurographics Association
},
ISSN = {1727-8376
},
ISBN = {3-905673-41-X
},
DOI = {/10.2312/VG/VG06/095-102
}
}