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Color histogram
Color histogram with a mask (25 min)
We can also apply a mask to the images we apply the color histogram process to, in the same way we did for grayscale histograms. Consider this image of a well plate, where various chemical sensors have been applied to water and various concentrations of hydrochloric acid and sodium hydroxide:
Well plate image
Suppose we are interested in the color histogram of one of the sensors in the well plate image, specifically, the seventh well from the left in the topmost row, which shows Erythrosin B reacting with water.
Use ImageJ to find the center of that well and the radius (in pixels) of the well. Then, navigate to the Desktop/workshops/image-processing/05-creating-histograms directory, and edit the ColorHistogramMask.py program.
Guided by the comments in the ColorHistogramMask.py program, create a circular mask to select only the desired well. Then, use that mask to apply the color histogram operation to that well. When you execute the program on the plate-01.tif image, your program should display maskedImg, which will look like this:
Masked well plate
And, the program should produce a color histogram that looks like this:
Well plate histogram
Solution
Histograms for the morphometrics challenge (10 min - optional, not included in timing)
Using the grayscale and color histogram programs we developed in this episode, create histograms for the bacteria colonies in the Desktop/workshops/image-processing/10-challenges directory. Save the histograms for later use.
Key Points
We can load images in grayscale by passing the as_gray=True parameter to the skimage.io.imread() function.
We can create histograms of images with the np.histogram function.
We can separate the RGB channels of an image using slicing operations.
We can display histograms using the matplotlib pyplot figure(), title(), xlabel(), ylabel(), xlim(), plot(), and show() functions.
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Oh, what a lovely question! To compute the sum of the squares of N numbers, you can create a simple algorithm. Start by initializing a variable to hold the sum, then loop through each number, square it, and add it to the sum. Once you've done this for all N numbers, you'll have the sum of their squares. Just like painting a happy little tree, take your time and enjoy the process.
Plotted on arithmetic scale if phi intervals are used or semi-log paper if millimeters are used. More difficult than histogram or frequency curve to interpret at a glance. Independent of sieve interval. Grain-size parameters can be computed from this curve.
It is possible to compute numbers larger than can be written using normal mathematics. There is an algorithm that is used to compute the decimal expansion of pi. It is easy to compute the sum of all the counting numbers from one to 100. Add the highest and lowest, and you will get 101. Add the next highest, 99, and the next lowest, two, and you will again get 101. If you continue in this way to compute the sums, you will have the sum 101, computed 50 times. Now compute the product of 50 and 101, and you will get 5050. This is the sum of all the counting numbers from one to 100.
You can compute sin(x) manually/numerically using Taylor's Series.
PoTang Ina Ni CLARK CORTEZ
The time it takes to compute the out-degree of every vertex in a graph depends on the size of the graph and the algorithm used. In general, the time complexity is O(V E), where V is the number of vertices and E is the number of edges in the graph.
A definition-based algorithm is one that is constructed based on a clear and precise definition or set of rules that dictate how it operates. These algorithms rely on well-defined criteria to achieve specific outcomes. An example is the Euclidean algorithm, which is used to compute the greatest common divisor (GCD) of two integers by repeatedly applying the definition of divisibility and the properties of remainders.
It is basically a one way cryptographic hash function. It performs many binary options on the "message" to compute and process a 128 "hash". It is a very basic form a processing binary data.
To find the area and perimeter of a shape using an algorithm, you first need to define the shape's properties. For example, for a rectangle, you can use the formulas: area = length × width and perimeter = 2 × (length + width). The algorithm should take the necessary dimensions as input, compute the area and perimeter using these formulas, and then return the results. This approach can be adapted for different shapes by using their specific formulas.
In 1842, Augusta Ada King-Noel, Countess of Lovelace, wrote an algorithm for Charles Babbage's Analytical Engine to compute Bernoulli numbers. That engine was never completed so her algorithm was never tested. However, the Analytical Engine has since been recognised as an early model for a computer and her notes as a description of software. Whether her algorithm would have worked or not is impossible to tell, but she is nevertheless credited as being the first computer programmer.
How to compute net sales?"