Hierarchic shape description via singularity and multiscaling

We introduce a new concept of ridges, ravines and related structures (skeletons) associated with surfaces in three-dimensional space that generalizes the medial axis transformation approach. The concept is based on singularity theory and involves both local and global geometric properties of the sur...

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Bibliographic Details
Main Authors: Kunii, T.L., Belyaev, A.G., Anoshkina, E.V., Takahashi, S., Huang, R., Okunev, O.G.
Format: Conference Proceeding
Language:English
Subjects:
Biomedical imaging
Dentistry
Feature extraction
Geometry
Image recognition
Image reconstruction
Rendering (computer graphics)
Shape
Skeleton
Surface reconstruction
Online Access:Request full text
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Summary:We introduce a new concept of ridges, ravines and related structures (skeletons) associated with surfaces in three-dimensional space that generalizes the medial axis transformation approach. The concept is based on singularity theory and involves both local and global geometric properties of the surface; it is invariant with respect to translations and rotations of the surface. It leads to a method of hierarchic description of surfaces that yields new approaches to shape coding, rendering and design. The extraction of the features is based on differential geometry of surfaces with consequent segregation via multiscale analysis. Terrain feature recognition, dental shape reconstruction and medical imagery are a partial list of applications.< >
DOI:10.1109/CMPSAC.1994.342797