Geometric and solid modeling: an introduction
Geometric and solid modeling: an introduction
Piecewise-linear interpolation between polygonal slices
SCG '94 Proceedings of the tenth annual symposium on Computational geometry
Computational geometry in C
Arbitrary topology shape reconstruction from planar cross sections
Graphical Models and Image Processing
Optimal surface reconstruction from planar contours
Communications of the ACM
Hierarchical multiresolution reconstruction of shell surfaces
Computer Aided Geometric Design
Contour interpolation by straight skeletons
Graphical Models
The NEURON Book
Nonlinear interpolation between slices
Proceedings of the 2007 ACM symposium on Solid and physical modeling
Shape reconstruction from unorganized cross-sections
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Reconstruction of multi-label domains from partial planar cross-sections
SGP '09 Proceedings of the Symposium on Geometry Processing
Online reconstruction of 3D objects from arbitrary cross-sections
ACM Transactions on Graphics (TOG)
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Motivated by the need for correct and robust 3D models of neuronal processes, we present a method for reconstruction of spatially realistic and topologically correct models from planar cross sections of multiple objects. Previous work in 3D reconstruction from serial contours has focused on reconstructing one object at a time, potentially producing inter-object intersections between slices. We have developed a robust algorithm that removes these intersections using a geometric approach. Our method not only removes intersections but can guarantee a given minimum separation of objects. This paper describes the algorithm for geometric adjustment, proves correctness, and presents several results of our high-fidelity modeling.