Optimal surface reconstruction from planar contours
Communications of the ACM
An interactive computer graphics approach to surface representation
Communications of the ACM
Algorithms for Graphics and Imag
Algorithms for Graphics and Imag
Conversion of complex contour line definitions into polygonal element mosaics
SIGGRAPH '78 Proceedings of the 5th annual conference on Computer graphics and interactive techniques
Three-dimensional digital image processing
Three-dimensional digital image processing
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In many scientific and technical endeavors, a three-dimensional (3-D) object must be reconstructed from serial cross-sections, either to aid in the comprehension of the object's structure or to facilitate its automatic manipulation and analysis. If the cross-sections are not closely spaced, interpolation is needed to recapture the appearance of the embedded 3-D object. In this paper, we propose an interpolation scheme for filling the space between the contours in two successive slices. The essential idea is to identify a force field acting on one contour and trying to distort it to be like the other contour. The major advantages of this method are its superior capabilities in handling the branching problem and making use of the graphics rendering method for solid objects composed of slices of voxels. Several experiments were conducted to demonstrate the interpolation method using both synthetic and real data.