We present two algorithms to construct C$+1$/-smooth models of skeletal structures from CT/NMR voxel data. The boundary of the reconstructed models consists of a C$+1$/-continuous mesh of triangular algebraic surface patches. One algorithm first constructs C$+1$/-continuous piecewise conic contours on each of the CT/NMR data slices and then uses piecewise triangular algebraic surface patches to C$+1$/ interpolate the contours on adjacent slices. The other algorithm works directly in voxel space and replaces an initial C$+0$/ triangular facet approximation of the model with a highly compressed C$+1$/- continuous mesh of triangular algebraic surface patches. Both schemes are adaptive, yielding a higher density of patches in regions of higher curvature.
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