# Integrated Density?

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## Integrated Density?

 Hello experts, Can you kindly help me to understand the term "Integrated Density". I read the documentation of ImageJ which says that this is the sum of all the pixels or equals to the product of Area and Mean Gray Value. But it is very confusing for me. How we will interpret this? What is the difference between density and integrated density in this regard? Is this term "integrated density" is same as "density"? My aim is to compare the different media giving different forms of fungi according to the density of the pellets found in each medium and also if this is possible then I want to classify the pellets in a medium according to the density i.e., I want to classify pellets as less dense, average dense and dense. Any help will be highly appreciated. Kashif ZEESHAN
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## Re: Integrated Density?

 Kashif, Maybe this will help: density is an intensive quantity and integrated   density is an extensive quantity.  See  Wikipedia for an explanation   of extensive and intensive quantities. Bob Robert Dougherty, Ph.D. President, OptiNav, Inc. 10900 NE 8th St, Suite 900 Bellevue, WA 98004 Tel. (425)990-5912 FAX (425)467-1119 www.optinav.com [hidden email]
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## Re: Integrated Density?

 On Aug 28, 2008, at 12:01 PM, Kashif Zeeshan wrote: > Hello experts, > > Can you kindly help me to understand the term "Integrated Density".   > I read > the documentation of ImageJ which says that this is the sum of all the > pixels or equals to the product of Area and Mean Gray Value. But it   > is very > confusing for me. How we will interpret this? What is the   > difference between > density and integrated density in this regard? Is this term   > "integrated > density" is same as "density"? My aim is to compare the different   > media > giving different forms of fungi according to the density of the   > pellets > found in each medium and also if this is possible then I want to   > classify > the pellets in a medium according to the density i.e., I want to   > classify > pellets as less dense, average dense and dense. > Any help will be highly appreciated. > > Kashif ZEESHAN On Aug 28, 2008, at 7:22 PM, Robert Dougherty wrote: > Kashif, > > Maybe this will help: density is an intensive quantity and   > integrated density is an extensive quantity.  See  Wikipedia for an   > explanation of extensive and intensive quantities. > Hi, I find it a bit hard to untangle the questions posed.  But here are   couple of thoughts... (1) Be sure that you understand what the documentation actually says,   "The sum of the values of the pixels in the image or selection."  In   your case, it means that it sums the gray values of each pellet found   - it is a measure of "grayness" on an individual particle or   selection. (see http://rsb.info.nih.gov/ij/docs/menus/analyze.html#set ) (2) Your description of pellet counting could be used to measure a   density of population - for example, X pellets per square cm. You can   use ImageJ for this purpose.  For that you could analyze the image   and retrieve either the number of pellets found.  Dividing the pellet   count by the image area will give you the population density.  If you   want to discriminate density patterns within an image, then you might   want to dig deeper by retrieving the centroids of each pellet.  You   could divide the image into quadrants of known area and get the   population density in each quadrant, etc. If I follow you correctly, I don't think you want the Integrated   Density as you won't care how dark each pellet is. Cheers, Ben Ben Tupper Bigelow Laboratory for Ocean Science 180 McKown Point Road POB 475 West Boothbay Harbor, ME 04575