Theory of edge detection

DOI PDF Web Site 被引用文献67件
  • D. Marr
  • E. Hildreth
    M. I. T. Psychology Department and Artificial Intelligence Laboratory, 79 Amherst Street, Cambridge, Massachusetts 02139, U. S. A.

書誌事項

公開日
1980-02-29
権利情報
  • https://royalsociety.org/journals/ethics-policies/data-sharing-mining/
DOI
  • 10.1098/rspb.1980.0020
公開者
The Royal Society

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説明

<jats:title>Abstract</jats:title> <jats:p>A theory of edge detection is presented. The analysis proceeds in two parts. (1) Intensity changes, which occur in a natural image over a wide range of scales, are detected separately at different scales. An appropriate filter for this purpose at a given scale is found to be the second derivative of a Gaussian, and it is shown that, provided some simple conditions are satisfied, these primary filters need not be orientation-dependent. Thus, intensity changes at a given scale are best detected by finding the zero values of ∇2G(x, y)* I(x, y) for image I, where G(x, y) is a two-dimen­sional Gaussian distribution and ∇2 is the Laplacian. The intensity changes thus discovered in each of the channels are then represented by oriented primitives called zero-crossing segments, and evidence is given that this representation is complete. (2) Intensity changes in images arise from surface discontinuities or from reflectance or illumination bound­aries, and these all have the property that they are spatially localized. Because of this, the zero-crossing segments from the different channels are not independent, and rules are deduced for combining them into a description of the image. This description is called the raw primal sketch. The theory explains several basic psychophysical findings, and the opera­tion of forming oriented zero-crossing segments from the output of centre-surround ∇2G filters acting on the image forms the basis for a physiological model of simple cells (see Marr & Ullman 1979).</jats:p>

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