The effect is to remove holes, islands, and peninsula smaller than the shape operator:. For grayscale images, ERODE takes the neighborhood minimum, where the shape of the neighborhood is given by the structuring element.
Elements for which the structuring element extends off the array are indeterminate. For example, assume you have the following image and structuring element:. If the origin of the structuring element is not specified in the call to ERODE, the origin defaults to one half the width of the structuring element, which is 1 in this case.
Therefore, for the first element in the image array, the structuring element is aligned with the image as depicted below:. If edge values are important, you must pad the image with as many elements as there are elements in the structuring element that extend off the array, in all dimensions. The value of the padding elements must be the maximum value in the image, since ERODE calculates a neighborhood minimum.
In this case, you would need to pad the image with a single leading 3. Therefore, you would need to pad the image with at least two leading 3s and at least one trailing 3.
You would then perform the erosion operation on the padded image, and remove the padding from the result. Search Results. Letting represent the erosion of an image A by structuring element B , erosion can be defined as: where A -b represents the translation of A by b. For example: In this example, the origin of the structuring element is at 0, 0. Arguments Image A one-, two-, or three-dimensional array upon which the erosion is to be performed.
Structure A one-, two-, or three-dimensional array to be used as the structuring element. Erosion is just the dual of Dilation. Both dilation and erosion are produced by the interaction of s set called a structuring element SE. It decreases the size of the objects. It fills the holes and broken areas. It removes the small anomalies. It connects the areas that are separated by space smaller than structuring element. It reduces the brightness of the bright objects.
It increases the brightness of the objects. It removes the objects smaller than the structuring element. Distributive, duality, translation and decomposition properties are followed. It also follows the different properties like duality etc. It is dual of dilation. Eroded image, returned as a grayscale image, binary image, or packed binary image. If the input image I is packed binary, then J is also packed binary.
J has the same data type as I. In other words, it is the set of pixel locations z , where the structuring element translated to location z overlaps only with foreground pixels in A. For more information on binary erosion, see [1]. In the general form of grayscale erosion , the structuring element has a height. The grayscale erosion of A x , y by B x , y is defined as:. To create a structuring element with nonzero height values, use the syntax strel nhood,height , where height gives the height values and nhood corresponds to the structuring element domain, D B.
Grayscale erosion using such a structuring element is equivalent to a local-minimum operator:. All of the strel syntaxes except for strel nhood,height , strel 'arbitrary',nhood,height , and strel 'ball', If the dimensionality of the image I is greater than the dimensionality of the structuring element, then the imerode function applies the same morphological erosion to all planes along the higher dimensions.
You can use this behavior to perform morphological erosion on RGB images. Specify a 2-D structuring element for RGB images to operate on each color channel separately. Also, when performing binary erosion with a structuring element object that has a decomposition, imerode automatically uses binary image packing to speed up the erosion [3].
Woods, and Steven L. Third edition. Knoxville: Gatesmark Publishing, Computer and Robot Vision. Note that if you choose the generic MATLAB Host Computer target platform, imerode generates code that uses a precompiled, platform-specific shared library. Use of a shared library preserves performance optimizations but limits the target platforms for which code can be generated.
The structuring element argument SE must be a single element——arrays of structuring elements are not supported. To obtain the same result as that obtained using an array of structuring elements, call the function sequentially.
When the target is any other platform, the packopt syntax is not supported. Packed binary input images packopt syntax are not supported. The structuring element argument SE must be a compile-time constant.
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