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In computer vision, the Marr–Hildreth algorithm is a method of detecting edges in digital images, that is, continuous curves where there are strong and rapid variations in image brightness.[1] The Marr–Hildreth edge detection method is simple and operates by convolving the image with the Laplacian of the Gaussian function, or, as a fast approximation by difference of Gaussians. Then, zero crossings are detected in the filtered result to obtain the edges. The Laplacian-of-Gaussian image operator is sometimes also referred to as the Mexican hat wavelet due to its visual shape when turned upside-down. David Marr and Ellen C. Hildreth are two of the inventors.[2]

Limitations

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The Marr–Hildreth operator suffers from two main limitations. It generates responses that do not correspond to edges, so-called "false edges", and the localization error may be severe at curved edges. Today, there are much better edge detection methods, such as the Canny edge detector based on the search for local directional maxima in the gradient magnitude, or the differential approach based on the search for zero crossings of the differential expression that corresponds to the second-order derivative in the gradient direction (both of these operations preceded by a Gaussian smoothing step). For more details, see the article on edge detection.

See also

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References

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  1. ^ Marr, D.; Hildreth, E. (29 Feb 1980). "Theory of Edge Detection". Proceedings of the Royal Society of London. Series B, Biological Sciences. 207 (1167): 187–217. doi:10.1098/rspb.1980.0020. PMID 6102765.
  2. ^ Umbaugh, Scott E (2010). Digital image processing and analysis : human and computer vision applications with CVIPtools (2nd ed.). Boca Raton, Florida: CRC Press. ISBN 978-1-4398-0205-2.

📚 Artikel Terkait di Wikipedia

Hildreth (name)

Hildreth is both a surname and a given name. Notable people with the name include: Surname: Ellen Hildreth, co-inventor of the Marr–Hildreth algorithm

Ellen Hildreth

perception and computer vision. She co-invented the Marr-Hildreth algorithm along with David Marr. She completed all of her higher education at the Massachusetts

Difference of Gaussians

extracts details from images destined for transmission to the brain. Marr–Hildreth algorithm Treatment of the difference of Gaussians approach in blob detection

List of algorithms

Hough transform Marr–Hildreth algorithm: an early edge detection algorithm SIFT (Scale-invariant feature transform): is an algorithm to detect and describe

David Marr (scientist)

David Courtenay Marr (19 January 1945 – 17 November 1980) was a British cognitive scientist, neurobiologist, and physiologist. Marr integrated results

Perceptual hashing

found (for instance with a differing watermark). The 1980 work of Marr and Hildreth is a seminal paper in this field. In 2009, Microsoft Corporation developed

Edge detection

geometric variational meaning for that operator, that links it to the Marr–Hildreth (zero crossing of the Laplacian) edge detector. That observation was

Eric Grimson

donors and alumni. Grimson is married to Wellesley College professor Ellen Hildreth. The couple have two sons. Association for Computing Machinery Fellow (2014):