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. 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.
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| - Marr-Hildreth-Operator (de)
- Marr–Hildreth algorithm (en)
- Marr–Hildreth (pt)
- 馬爾-希德雷斯算法 (zh)
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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. 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. (en)
- Em visão computacional, o filtro de Marr-Hildreth é um técnica de detecção de bordas baseado na segunda derivada da gaussiana: que pode ser adaptado facilmente para uma variável, sendo visto como a segunda derivada da gaussiana: Para determinar as bordas do sinal I(ρ), é realizada a convolução com o filtro de Marr-Hildreth unidimensionais e localizados os cruzamentos no eixo x (cruzamentos por zero), que correspondem as bordas do sinal. (pt)
- Der Marr-Hildreth-Operator oder Laplacian of Gaussian (LoG) ist eine spezielle Form eines diskreten Laplace-Filters und kommt zum Beispiel in der Bildverarbeitung bei der Detektion von Kanten zum Einsatz. Der Filterkernel wird durch die Anwendung des Laplace-Operators auf eine Gauß-Funktion erstellt.Da seine Form der eines mexikanischen Sombreros ähnelt, ist er auch als Mexican Hat oder Sombrerofilter bekannt.Der LoG ist ein isotropes Maß der zweiten Ableitung an ein Bild. Deswegen detektiert er Orte großer Veränderung. In einem Bild sind das gerade Kanten von Objekten, an denen sich die Intensität schnell ändert. Es handelt sich also um einen Filter, der zur Kantendetektion genutzt werden kann. (de)
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| - Der Marr-Hildreth-Operator oder Laplacian of Gaussian (LoG) ist eine spezielle Form eines diskreten Laplace-Filters und kommt zum Beispiel in der Bildverarbeitung bei der Detektion von Kanten zum Einsatz. Der Filterkernel wird durch die Anwendung des Laplace-Operators auf eine Gauß-Funktion erstellt.Da seine Form der eines mexikanischen Sombreros ähnelt, ist er auch als Mexican Hat oder Sombrerofilter bekannt.Der LoG ist ein isotropes Maß der zweiten Ableitung an ein Bild. Deswegen detektiert er Orte großer Veränderung. In einem Bild sind das gerade Kanten von Objekten, an denen sich die Intensität schnell ändert. Es handelt sich also um einen Filter, der zur Kantendetektion genutzt werden kann. Die Bezeichnung Marr-Hildreth-Operator geht zurück auf David Marr und . (de)
- 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. 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. (en)
- Em visão computacional, o filtro de Marr-Hildreth é um técnica de detecção de bordas baseado na segunda derivada da gaussiana: que pode ser adaptado facilmente para uma variável, sendo visto como a segunda derivada da gaussiana: Para determinar as bordas do sinal I(ρ), é realizada a convolução com o filtro de Marr-Hildreth unidimensionais e localizados os cruzamentos no eixo x (cruzamentos por zero), que correspondem as bordas do sinal. (pt)
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