Object shape before boundary shape: Scale-space medial axes
Autor: | Daniel S. Fritsch, Stephen M. Pizer, James M. Coggins, Bryan S. Morse, Christina A. Burbeck |
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Rok vydání: | 1994 |
Předmět: |
Statistics and Probability
Axis-aligned object Applied Mathematics Geometry Object structure Condensed Matter Physics Scale space Subjective constancy Medial axis Modeling and Simulation sort Geometry and Topology Computer Vision and Pattern Recognition Boundary shape Shape analysis (digital geometry) Mathematics |
Zdroj: | Journal of Mathematical Imaging and Vision. 4:303-313 |
ISSN: | 1573-7683 0924-9907 |
DOI: | 10.1007/bf01254105 |
Popis: | Representing object shape in two or three dimensions has typically involved the description of the object boundary. This paper proposes a means for characterizing object structure and shape that avoids the need to find an explicit boundary. Rather, it operates directly from the imageintensity distribution in the object and its background, using operators that do indeed respond to “boundariness.” It produces a sort of medial-axis description that recognizes that both axis location and object width must be defined according to a tolerance proportional to the object width. This generalized axis is called themultiscale medial axis because it is defined as a curve or set of curves in scale space. It has all of the advantages of the traditional medial axis: representation of protrusions and indentations in the object, decomposition of object-curvature and object-width properties, identification of visually opposite points of the object, incorporation of size constancy and orientation independence, and association of boundary-shape properties with medial locations. It also has significant new advantages: it does not require a predetermination of exactly what locations are included in the object, it provides gross descriptions that are stable against image detail, and it can be used to identify subobjects and regions of boundary detail and to characterize their shape properties. |
Databáze: | OpenAIRE |
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