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Topic: Dilation (morphology)

Related Topics

Mathematical morphology

Erosion morphology

inflectional morphology

Distributed morphology

Closing morphology

Galaxy morphology

Irish morphology

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	[No title] (Site not responding. Last check: 2007-10-11)
		The mathematical definition of dilation for \em{binary} images is as follows: \quote{ Suppose that \em{X} is the set of Euclidean coordinates corresponding to the input binary image, and that \em{K} is the set of coordinates for the structuring element.
		Dilation is the \em{dual} of \ref{erode}{erosion} \ie dilating foreground pixels is equivalent to eroding the background pixels.
		Dilation can also be used for \ref{edgdetct}{edge detection} by taking the dilation of an image and then \ref{pixsub}{subtracting} away the original image, thus highlighting just those new pixels at the edges of objects that were added by the dilation.
	vision.cse.psu.edu /resources/hipr/src/dilate.hpr (1541 words)

	Removal of Thin Connectors Using Morphological Operations:
		The basic idea in mathematical morphology is to convolve an image with a given mask (known as the structuring element), and to binarize the result of the convolution using a given function.
		Dilation Dual to erosion, a dilation operation on an image I containing labels 0 and 1, with a structuring element S, changes the value of pixel i in I from 0 to 1, if the result of convolving S with I, centered at i, is more than some predetermined value.
		Dilate the brain component obtained in the previous step by a structuring element slightly larger in size to the one used in the erosion, conditioned on the brain labels in the input image.
	splweb.bwh.harvard.edu:8000 /pages/papers/mri_seg_tina/node8.html (840 words)

	Dilation
		Dilational lineaments are part of a larger array of Europan lineae which crisscross the satellite, discovered by the Voyager spacecraft (Smith et al., 1979; Lucchitta and Soderblom, 1982), and viewed at higher resolution by the Galileo spacecraft (Belton et al., 1996; Greeley et al., 1998; Greenberg et al., 1998a).
		Dilation may accompany ridge formation when ice or slush accumulates in the cracks, forcing the opposing blocks apart when daily compressive tidal stress is applied, according to Greenberg et al.
		Because external pulling counteracts tidal compression, the relative importance of the two end-member processes determines the morphology of Europan dilational lineaments, by controlling the degree of elevation, and the prominence of a central groove and of bilateral symmetry.
	pirlwww.lpl.arizona.edu /HIIPS/Publications/tufts_dilation (9480 words)

	Morphology - Dilation
		Dilation is one of the two basic operators in the area of mathematical morphology, the other being erosion.
		Dilation can also be used for edge detection by taking the dilation of an image and then subtracting away the original image, thus highlighting just those new pixels at the edges of objects that were added by the dilation.
		An example in which dilation is used in combination with other morphological operators is the pre-processing for automated character recognition described in the thinning section.
	homepages.inf.ed.ac.uk /rbf/HIPR2/dilate.htm (1557 words)

	Dilation in Image Processing using C# (Site not responding. Last check: 2007-10-11)
		Dilation is one of the two basic operators in the area of mathematical morphology, The basic effect of the operator on a binary image is to gradually enlarge the boundaries of regions of foreground pixels (i.e.
		The mathematical definition of grayscale dilation is identical except for the way in which the set of coordinates associated with the input image is derived.
		The maximum of these is 198 intensity value, thus it is the intensity value of the pixel in the 3rd row, and in the 4th column of the output image.
	www.codersource.net /csharp_image_processing_dilation.aspx (855 words)

	Morphology - Documentation - AmitySource
		Morphology close is simply a dilation operation which is followed by an erosion operation.
		Morphology Dilate is commonly known as "fill", "expand", or "grow." It can be used to fill "holes" of a size equals to or smaller than the radius of a structuring element.
		Morphology Top Hat is implemented by the applying the opening operator to the image, then by subtracting the result from the original one.
	www.amitysource.com /en/doc/morphology.html (126 words)

	Morphology
		Dilation and erosion are not a pair of opposite operations in the sense that their effects do not cancel each other.
		The dilation carried out first eliminates small holes inside the object shape (assumed to be noise) as well as expanding the object shape, while the following erosion shrinks the object back (but not the noise).
		Dilation tends to grow the white regions of an image.
	fourier.eng.hmc.edu /e161/lectures/morphology/node1.html (551 words)

	[No title]
		Binary morphology was used as a principal technique because it is fast, memory efficient and provides general routines for pattern matching.
		After the dilation, we set all destination pixels ON for the erosion and do the set of ANDs from the source (which is the destination of the previous dilation).
		Note that when you add a border for dilation, the added border pixels must be initialized to 0, and when you add for erosion, the value of the pixels depends on whether you are using the asymmetric or symmetric boundary condition convention.
	www.leptonica.com /binary-morphology.html (6537 words)

	sect64
		Dilation and erosion are opposite in effect; dilation of a background of an object behaves like erosion of the object
		Dilation and erosion are often applied to an image in concatenation.
		Applying mathematical morphology to grey scale images is equivalent to finding the maximum or the minimum of a neighborhood defined by the structuring element.
	www.cnr.berkeley.edu /~gong/textbook/chapter6/html/sect64.htm (643 words)

	Morphology - Dilation
		The mathematical definition of greyscale dilation is identical except for the way in which the set of coordinates associated with the input image is derived.
		As an example of binary dilation, suppose that the structuring element is a 3×3 square, with the origin at its center as shown in Figure 1.
		illustrates the basic effect of dilation on the binary image, produced by two dilation passes using a disc shaped structuring element of 11 pixels radius.
	www.cee.hw.ac.uk /hipr/html/dilate.html (1552 words)

	Morphological Operations (Image Processing Toolbox)
		Morphology is a technique of image processing based on shapes.
		This chapter describes the morphology functions in the toolbox.
		A connected set of constant intensity from which it is impossible to reach a point with lower intensity without first ascending; that is, a connected component of pixels with the same intensity value, t, surrounded by pixels that all have a value greater than t.
	www.phys.ufl.edu /docs/matlab/toolbox/images/morph.html (610 words)

	Morphology Overview- Developer Zone - National Instruments (Site not responding. Last check: 2007-10-11)
		The dilation process is performed by laying the structuring element on the image and sliding it across the image in a manner similar to convolution.
		Note that with a dilation operation, all the '1' pixels in the original image will be retained, any boundaries will be expanded, and small holes will be filled.
		To understand gray-level morphology fully, we must remember that with two adjacent gray levels, the brighter one is considered to be the object (the equivalent of '1' in a binary image), and the darker one is the background (the '0' equivalent in binary morphology).
	zone.ni.com /devzone/cda/ph/p/id/146 (1634 words)

	Morphological Operations (Image Processing Toolbox) (Site not responding. Last check: 2007-10-11)
		Dilation and erosion are often used in combination to implement image processing operations.
		For example, the definition of a morphological opening of an image is an erosion followed by a dilation, using the same structuring element for both operations.
		The related operation, morphological closing of an image is the reverse: it consists of dilation followed by an erosion with the same structuring element.
	www-rohan.sdsu.edu /doc/matlab/toolbox/images/morph8.html (242 words)

	Image Set Operations
		Morphology is a tool for extracting information from images on the basis of spatial structure and relationships.
		Morphology is useful for preprocessing images to fill in holes and remove noise.
		Dilation involves an image set A and a structuring element S. The origin of the structuring element is placed on each pixel of A. If any part of the structuring element is then within A, add the pixel at the origin to the dilation set D. D=DILATE(A,S) is a built-in IDL function.
	www.cis.rit.edu /class/simg782.old/lec_morphology.html (1097 words)

	Morphology - Opening
		They are both derived from the fundamental operations of erosion and dilation.
		As with erosion and dilation, it is very common to use this 3×3 structuring element.
		Unlike erosion and dilation, the position of the origin of the structuring element does not really matter for opening and closing, the result is independent of it.
	www.cee.hw.ac.uk /hipr/html/open.html (1306 words)

	Introduction
		The SDC Morphology Toolbox for C++ deals with gray-scale and binary images (or signals) and is data type oriented.
		Dilations and erosions are parameterized by particular images (or signals), called structuring elements.
		The SDC Morphology Toolbox for C++ supports both kinds of structuring elements and represents them in a decomposed form, which increases the performance of the corresponding dilation and erosion.
	www.mmorph.com /cppmorph/morph/Intro.html (686 words)

	LAB 3
		At the beginning, we were ask to perform the dilation and erosion operation on our own image.
		Figure4 and Figure5 is the dilation and erosion of my grey scale image with a circular structuring element of size 4 respectively..
		Closing operation is an operation of dilation followed by erosion.
	www.angelfire.com /scary/geoffrey/vision/lab3.htm (334 words)

	Untitled
		Mathematical morphology describes set operations on binary and grey-level images that can be used to estimate the boundary, centre, skeleton and size of objects.
		Just as it is a limited view of grey-level morphology to process a series of amplitude profiles and reassemble them it is also restrictive to take the distance (in r, g, b space) between points as the measure of colour distance.
		In grey-level and binary morphology erosion (dilation) is defined as a neighbourhood minimum (maximum) operator.
	www.eee.bham.ac.uk /pycockd/PhDProposals/PGTreeCountingDescription.htm (534 words)

	Presentation # 151 - Elimination Of Noise Via Morphological Filters And Components Labeling. Its Use In The Study Of ... (Site not responding. Last check: 2007-10-11)
		The paper is organized as follows: Section II reviews the basic concepts of the mathematical morphology; section III shows the experimental results using ordinaries and generalized filters; section IV presents a strategy that combines the components labeling with generalized filters, and finally in section V the most important conclusions are given.
		Erosion, dilation, opening and closing of F by a rhombus of 5 pixels where the origin lies in the center.
		The erosion (dilation) with strictness 1 corresponds to the ordinary erosion (dilation).
	www.uclm.es /inabis2000/symposia/files/151/session.htm (3800 words)

	DILATE
		The DILATE function implements the morphologic dilation operator on both binary and grayscale images.
		Set this keyword to the pixel value that is to be considered the background when dilation is being performed in constrained mode.
		For grayscale images, DILATE takes the neighborhood maximum, where the shape of the neighborhood is given by the structuring element.
	hesperia.gsfc.nasa.gov /~jma/idl_html_help/D26.html (1076 words)

	Mathematical morphology operators (Site not responding. Last check: 2007-10-11)
		Dilation and erosion are the basic operators of mathematical morphology [
		The dilation of a set of points X by a structural element B is written
		the complement of a dilation performed on the complement set of X. Other morphological operators can be derived by combining dilation and erosion.
	www.tele.ucl.ac.be /PEOPLE/OC/these/node37.html (105 words)

	Alacron BLOB Library (Site not responding. Last check: 2007-10-11)
		This step falls outside the morphology library, but provides for the improvement of the quality of the image by filtering.
		Dilation is complementary to Erosion, Dilation is an OR function Erosion is an AND function.
		Open is an erosion followed by a dilation.
	www.alacron.com /software/blobs.htm (713 words)

	Project 5 (Site not responding. Last check: 2007-10-11)
		It is useful to observe the changes in the effect of the erosion and dilation operations if we add a small hole to A. Note that the small hole has a huge effect on the result of the erosion process---it creates a large "gouge" in its side.
		In contrast, the result of the dilation process is essentially the same as before except that the small hole has been filled in.
		For example, erosion followed by dilation is termed opening and dilation followed by erosion is termed closing.
	www.cs.unm.edu /~williams/cs432/project5s99.html (514 words)

	Dilation - Wikipedia, the free encyclopedia
		The term dilation may have a number of meanings:
		In physiology, where it is synonymous with dilatation, it may mean:
		Cervical dilation (or dilation of the cervix) in childbirth
	en.wikipedia.org /wiki/Dilation (102 words)

	Article Binary Morphology - Dilation
		As some of you may remember, the purpose of 'morphological erosion' is to nibble away at the objects in a binary image in order to get rid of unwanted noise.
		Basically, Dilation boils down to this: If at least one member of your structuring element is overlapping your target set, you get a '1'.
		It must be clear at this point that if we apply Dilation after Erosion, the objects in the image are likely to regain some of what they lose during Erosion.
	www.coreco.com /Web/mail_list.nsf/8fe2cb14e37700e2852566950076e3f1/56f7779403d5f6e285256c9200643091!OpenDocument (737 words)

	mm010why - Why Mathematical Morphology. (Site not responding. Last check: 2007-10-11)
		Dilation is any operator that commutes with union (max):
		The structural dilation and erosion are characterized by the structuring element b
		Note that the summation in convolution is replaced by the Max and Min in dilation and erosion, and the multiplication is replaced by addition and subtraction.
	www.mmorph.com /mmtutor1.0/html/mmtutor/mm010why.html (129 words)

	Northern Micrographics (Site not responding. Last check: 2007-10-11)
		There are two types of morphology, binary and gray-scale.
		The four major operations are; erosion, dilation, opening, and closing.
		Dilation - a filter, which tends to make bright objects larger.
	www.normicro.com /nmigen.asp?var=gloss (5501 words)

	[No title]
		As operators on 2D binary images, mathematical morphology is well known; much software is available which performs binary morphology.
		However, the true power in morphology lies in its ability to transform grayscale 2D pixel images and 3D voxel datasets.
		The software includes a 2D image morphology program, a 3D voxel image morphology program, a program for enhancement and noise reduction of 2D images, and related support routines for image arithmetic and logical operations.
	www.cwi.nl /projects/morphology/DIGEST/DIGEST94-2.txt (3303 words)

	Balloon dilation for aortic recoarctation: morphology at the site of dilation and long-term efficacy.
		Balloon Dilation of a Narrow Distal Aorta During Bifurcated Endograft Placement: A Reminder of the Value of Standard Angioplasty Techniques for Increasing EVAR Applicability.
		All the patients had aortic coarctation, with surgical repair having been attempted previously in one, and with balloon dilation having been performed as the primary treatment in two, resulting in formation of aneurysms.
		PATIENTS AND METHODS: The results were as follows: 51 children underwent balloon dilatation due to recoarctation (86.5 %); two underwent dilation of a native coarctation (3.3 %) and six underwent stent implantation for recoarctation (10 %).
	lib.bioinfo.pl /pmid:11233395 (2223 words)

	No Title (Site not responding. Last check: 2007-10-11)
		Mathematical morphology is a set of non-linear operations that treat images as a set of pixel locations.
		Each image coordinate covered by a 1 of the overlaid structuring element is in the result of dilation.
		Prove that for binary images, I, the definition of dilation given in Equation 1 is equivalent to that of Equation 4.
	www.cs.rpi.edu /~stewart/comp_vision/binary/class4/class4.html (1144 words)

	[No title] (Site not responding. Last check: 2007-10-11)
		A comprehensive class of dilations and erosions is continuous, as well as their combinations.
		Morphology neural networks are a nonlinear version of the familiar artificial neural networks.
		Abstract: The authors have developed a morphological technique, based on geodesic dilation using fast propagation of regional maxima, for segmenting the skin, bone, and dura from 3-D MR studies of the head, exposing the outer surface of the brain for 3-D rendering.
	www.spie.org /web/abstracts/1500/1568.html (5085 words)

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