A Bayesian Approach to Reconstruction from Incomplete Projections of a Multiple Object 3D Domain
IEEE Transactions on Pattern Analysis and Machine Intelligence
Computer graphics: principles and practice (2nd ed.)
Computer graphics: principles and practice (2nd ed.)
Reconstruction of surfaces from planar contours
Reconstruction of surfaces from planar contours
Shape abstraction using computational topology techniques
From geometric modeling to shape modeling
Surface Coding Based on Morse Theory
IEEE Computer Graphics and Applications
Constructing a Reeb graph automatically from cross sections
IEEE Computer Graphics and Applications
Understanding objects from slices: extracting generalised cylinder descriptions from serial sections.
Computational topology algorithms for discrete 2-manifolds
Computational topology algorithms for discrete 2-manifolds
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The problem of surface reconstruction from sets of planar slices representing cross sections through 3D objects is presented. The final result of surface reconstruction is always based on the correct estimation of the structure of the original object and on the visual quality of the resultant surface. This paper is a case study of the structure reconstruction and the surface formation problems. We present a new approach, which is based on considering mutually orthogonal sets of slices. A new method for surface reconstruction from orthogonal slices is described, and the benefit of orthogonal slices is also discussed. The properties and sample results are presented as well.