Shape reconstruction from planar cross sections
Computer Vision, Graphics, and Image Processing
Introduction to Solid Modeling
Introduction to Solid Modeling
A triangulation algorithm from arbitrary shaped multiple planar contours
ACM Transactions on Graphics (TOG)
Triangulating Simple Polygons and Equivalent Problems
ACM Transactions on Graphics (TOG)
Optimal surface reconstruction from planar contours
Communications of the ACM
Surface Coding Based on Morse Theory
IEEE Computer Graphics and Applications
Constructing a Reeb graph automatically from cross sections
IEEE Computer Graphics and Applications
Conversion of complex contour line definitions into polygonal element mosaics
SIGGRAPH '78 Proceedings of the 5th annual conference on Computer graphics and interactive techniques
Surface definition for branching, contour-defined objects
ACM SIGGRAPH Computer Graphics
Shape reconstruction from unorganized cross-sections
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Volume viewer: an interactive tool for fitting surfaces to volume data
Proceedings of the 6th Eurographics Symposium on Sketch-Based Interfaces and Modeling
Reconstruction of multi-label domains from partial planar cross-sections
SGP '09 Proceedings of the Symposium on Geometry Processing
Geometric tomography with topological guarantees
Proceedings of the twenty-sixth annual symposium on Computational geometry
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Outlines for reconstructing object surfaces are traditionally drawn from sequential images in parallel planes. The method presented here instead supports complex object topologies by drawing contours from multiaxial image planes. Multiaxial triangulation of an object in a given data volume involves four steps. First, the user generates contours interactively by selecting sample planes inside the data volume, then drawing object contours from the image corresponding to this sample plane. Our algorithm for multiaxial triangulation then processes these contours to verify consistency within and between sample planes. Second, it uses the sample planes containing the contours to partition the data volume into a divided volume. The contours are partitioned against the plane boundaries, and the contour parts (chains) are associated with faces, edges, and vertices in the divided volume. Third, these chains are joined into closed loops in the divided volume. Fourth, the loops are triangulated patchwise to create the surface model.