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Cited by 2,158

The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.

Representation and recognition of the spatial organization of three-dimensional shapes

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Marr, D., Nishihara, H. K.·1978·Proceedings of the Royal Society of London. Series B. Biological Sciences
DOI 10.1098/rspb.1978.0020
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Abstract

The human visual process can be studied by examining the computational problems associated with deriving useful information from retinal images. In this paper, we apply this approach to the problem of representing three-dimensional shapes for the purpose of recognition. 1. Three criteria, accessibility, scope and uniqueness, and stability and sensitivity, are presented for judging the usefulness of a representation for shape recognition. 2. Three aspects of a representation’s design are considered, (i) the representation’s coordinate system, (ii) its primitives, which are the primary units of shape information used in the representation, and (iii) the organization the representation imposes on the information in its descriptions. 3. In terms of these design issues and the criteria presented, a shape representation for recognition should: (i) use an object-centred coordinate system, (ii) include volumetric primitives of varied sizes, and (iii) have a modular organization. A representation based on a shape’s natural axes (for example the axes identified by a stick figure) follows directly from these choices. 4. The basic process for deriving a shape description in this representation must involve: (i) a means for identifying the natural axes of a shape in its image and (ii) a mechanism for transforming viewer-centred axis specifications to specifications in an object-centred coordinate system. 5. Shape recognition involves: (i) a collection of stored shape descriptions, and (ii) various indexes into the collection that allow a newly derived description to be associated with an appropriate stored description. The most important of these indexes allows shape recognition to proceed conservatively from the general to the specific based on the specificity of the information available from the image. 6. New constraints supplied by a conservative recognition process can be used to extract more information from the image. A relaxation process for carrying out this constraint analysis is described.

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Citations

Cites

Research works printed but not linked: 9

  1. Attneave F., 1968, Triangles as ambiguous figures, Physiol., 81, 447
  2. Binford T. O. 1971 Visual perception by computer. Presented to the IEEE Conference on Systems and Control Miami in December 1971.
  3. Blum H., 1973, Biological shape and visual science, part 1. theor, Biol., 38, 205
  4. 10.1098/rstb.1976.0090 · DOI · Paper page
  5. 10.1098/rspb.1977.0080 · DOI
  6. Minsky M. 1975 A framework for representing knowledge. In The psychology of computer vision (ed. P. H. Winston) pp. 211-277. New York: McGraw-Hill.
  7. Roberts L. G. 1965 Machine perception of three-dimensional solids. In Optical and electrooptical information processing (ed. J. T. Tippett et al.) pp. 159-197. Cambridge: M.I.T. Press.
  8. 10.1016/S0010-9452(73)80024-3 · DOI · Paper page
  9. Winston P. H. 1975 Learning structural descriptions from examples. In The psychology of computer vision (ed. P. H. Winston) pp. 157-209. New York: McGraw-Hill.

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Metadata

Authors
Marr, D., & Nishihara, H. K.
Venue
Proceedings of the Royal Society of London. Series B. Biological Sciences
Publisher
The Royal Society
Published
1978-02-23
Volume
200
Issue
1140
Pages
269-294
ISSN
  • 0080-4649 (ISSN-L)
  • 2053-9193
DOI
10.1098/rspb.1978.0020
OpenAlex
W2081519360
Cited by
2,158
References
1
FWCI
69.75
Type
journal article
Language
en
Open access
green
Licence
royalsociety.org/journals/ethics-policies/data-sharing-mining/ (tdm)

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