Zoom-Invariant Vision of Figural Shape: The Mathematics of Cores
Believing that figural zoom invariance and the cross-figural boundary linking implied by medial loci are important aspects of object shape, we present the mathematics of and algorithms for the extraction of medial loci directly from image intensities. The medial loci called cores are defined as gene...
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| Published in | Computer vision and image understanding Vol. 69; no. 1; pp. 55 - 71 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
San Diego, CA
Elsevier Inc
01.01.1998
Elsevier |
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| Online Access | Get full text |
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| Abstract | Believing that figural zoom invariance and the cross-figural boundary linking implied by medial loci are important aspects of object shape, we present the mathematics of and algorithms for the extraction of medial loci directly from image intensities. The medial loci called cores are defined as generalized maxima in scale space of a form of medial information that is invariant to translation, rotation, and, in particular, zoom. These loci are very insensitive to image disturbances, in strong contrast to previously available medial loci, as demonstrated in a companion paper. Core-related geometric properties and image object representations are laid out which, together with the aforementioned insensitivities, allow the core to be used effectively for a variety of image analysis objectives. |
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| AbstractList | Believing that figural zoom invariance and the cross-figural boundary linking implied by medial loci are important aspects of object shape, we present the mathematics of and algorithms for the extraction of medial loci directly from image intensities. The medial loci called cores are defined as generalized maxima in scale space of a form of medial information that is invariant to translation, rotation, and, in particular, zoom. These loci are very insensitive to image disturbances, in strong contrast to previously available medial loci, as demonstrated in a companion paper. Core-related geometric properties and image object representations are laid out which, together with the aforementioned insensitivities, allow the core to be used effectively for a variety of image analysis objectives. |
| Author | Pizer, Stephen M. Morse, Bryan S. Eberly, David Fritsch, Daniel S. |
| Author_xml | – sequence: 1 givenname: Stephen M. surname: Pizer fullname: Pizer, Stephen M. organization: Medical Image Display & Analysis Group, University of North Carolina, Campus Box 3175, Chapel Hill, North Carolina, 27599, f1E-mail: pizer@cs.unc.eduf1 – sequence: 2 givenname: David surname: Eberly fullname: Eberly, David organization: Medical Image Display & Analysis Group, University of North Carolina, Campus Box 3175, Chapel Hill, North Carolina, 27599, f1E-mail: pizer@cs.unc.eduf1 – sequence: 3 givenname: Daniel S. surname: Fritsch fullname: Fritsch, Daniel S. organization: Medical Image Display & Analysis Group, University of North Carolina, Campus Box 3175, Chapel Hill, North Carolina, 27599, f1E-mail: pizer@cs.unc.eduf1 – sequence: 4 givenname: Bryan S. surname: Morse fullname: Morse, Bryan S. organization: Department of Computer Science, Brigham Young University, Provo, Utah, 84602 |
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| Keywords | Invariant Image analysis Approximation Segmentation Image processing Differential equation Noise reduction Algorithm Pattern extraction |
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| References_xml | – year: 1996 ident: IV970563RF43 article-title: Segmentation, registration, and measurement of shape variation via image object shape publication-title: Visualization in Biomedical Computing `96 contributor: fullname: Chaney – year: 1992 ident: IV970563RF30 publication-title: Symmetry, Causality, Mind contributor: fullname: Leyton – volume: 6 start-page: 156 year: 1984 end-page: 170 ident: IV970563RF7 article-title: A representation of shape based on peaks and ridges in the difference of low-pass transform publication-title: IEEE Trans. PAMI contributor: fullname: Parker – year: 1994 ident: IV970563RF38 publication-title: Computation of Object Cores from Greyscale Images contributor: fullname: Morse – volume: 4 start-page: 303 year: 1994 end-page: 313 ident: IV970563RF41 article-title: Object shape before boundary shape: scale-space medial axes publication-title: J. Math. Imaging Vision contributor: fullname: Morse – year: 1995 ident: IV970563RF50 article-title: Scale–space image models for shape deformation publication-title: Computing Science and Statistics: Proceedings of the 27th Symposium on the Interface contributor: fullname: Pizer – start-page: 363 year: 1967 end-page: 380 ident: IV970563RF1 article-title: A transformation for extracting new descriptors of shape publication-title: Models for the Perception of Speech and Visual Form contributor: fullname: Blum – volume: 35 start-page: 1917 year: 1995 end-page: 1930 ident: IV970563RF3 article-title: Object representation by cores: Identifying and representing primitive spatial regions publication-title: Vision Res contributor: fullname: Pizer – year: 1994 ident: IV970563RF12 publication-title: Geometric Methods for Analysis of Ridges in N-Dimensional Images contributor: fullname: Eberly – volume: 69 year: 1998 ident: IV970563RF39 article-title: Zoom-invariant vision of figural shape: Effects on cores of image disturbances publication-title: Comput. 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| Snippet | Believing that figural zoom invariance and the cross-figural boundary linking implied by medial loci are important aspects of object shape, we present the... |
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| SubjectTerms | Algorithmics. Computability. Computer arithmetics Applied sciences Artificial intelligence Computer science; control theory; systems Exact sciences and technology Pattern recognition. Digital image processing. Computational geometry Theoretical computing |
| Title | Zoom-Invariant Vision of Figural Shape: The Mathematics of Cores |
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