Technical Report MSC-2013-25

Title: Fair Multi-Label Reconstruction from Cross-Sections
Authors: Raeda Naamneh
Supervisors: Gill Barequet
Abstract: In this thesis we propose an algorithm for reconstructing a multi-label object from cross-sections in a fair manner. We handle the problem in its full generality: Cross- sections need not be parallel nor complete, every section may contain an unlimited number of contours with any geometries and in any level of containment hierarchy. We focus on the simultaneous reconstruction of an object from contours with multiple labels (“colors”), in scenarios in which interpolating separately between contours of each color results in conflicting (intersecting) reconstructions. We suggest a flexible scheme for combining all the individual reconstructions and resolving fairly the conflicts between them.
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