Geometric and solid modeling: an introduction
Geometric and solid modeling: an introduction
Computational geometry in C
Arbitrary topology shape reconstruction from planar cross sections
Graphical Models and Image Processing
Shape transformation using variational implicit functions
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
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
Mean value coordinates for arbitrary planar polygons
ACM Transactions on Graphics (TOG)
The NEURON Book
Nonlinear interpolation between slices
Proceedings of the 2007 ACM symposium on Solid and physical modeling
Harmonic coordinates for character articulation
ACM SIGGRAPH 2007 papers
Shape reconstruction from unorganized cross-sections
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
GPU-assisted positive mean value coordinates for mesh deformations
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
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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 distance between objects. This paper describes the algorithm for geometric adjustment, proves correctness, and presents several results of our high-fidelity modeling.