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Linepair resolution
In the IMA test method – which is the automated method – the LW/PH value is calculated by considering the MTF30 value. This is an objective measurement of sharpness, which is better than the subjective analysis. The data in the IMA chart is in the units LW/PH, and it can be converted to lp/mm as shown in the above calculation.
Given below is the comparison of image space resolution and object space resolution values obtained using the theoretical and practical methods.
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A line pair is a pair of black and white lines next to each other with the same width and orientation. The ability to differentiate two bars as separate entities in a specific resolution would be based on the contrast level. It means that calculating resolution in terms of lp/mm is extremely useful when comparing lenses. This can act as one of the criteria while choosing the best-fit lens for a given sensor and application.
As mentioned above, Object Space Resolution denotes the resolving power of a lens. It defines the size elements of the object that can be resolved. It is calculated as:
Line pairs per mmconverter
Several solvents are available for CO₂ capture by chemical absorption. The most commonly used solvent is based on the primary amine monoethanolamine (MEA) and/or mixtures of secondary/tertiary amines, usually with the addition of promoters such as piperazine.
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The resolving power of a lens can be calculated manually as well as in automated manner. The manual method is called the human eye perception method, and the automated technique is called the IMA Test method. We will look at both these in detail in this section.
Line pairs per mmradiology
For instance, if you want to calculate the resolving power of See3CAM_CU135 – 4K USB camera – with the default product lens, you should capture the image of the resolution chart with the desired aspect ratio at the prescribed working distance.
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Let’s say you have to decode an object like a small barcode and that too at a longer distance. You would have to differentiate the bars by allowing a certain amount of space between them. This minimum distance depends on the resolution of the camera. However, when you use a sensor with the desired resolution, it is also important to choose a lens that can help capture the level of detail expected from that resolution. This is where knowing the resolving capacity of the lens becomes important.
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The energy requirements for solvent regeneration (heat of desorption, sensible heat, and heat of vaporization) and the correct energy integration of the CO₂ capture unit into the industrial process are key features of the ANDRITZ CO₂ capture offering. Depending on the CO₂ concentration in the flue gas, the required amount of CO₂ to be captured, and other site-specific conditions (steam availability, steam pressure, on-site CO₂ storage, ...), ANDRITZ will design a unique solution to ensure the lowest operating costs for the removal of CO₂ from the flue gas.
Image Space Resolution is the resolution in the image plane in consideration of the sensor pixel size. Generally, two pixels or one line pair is the highest frequency which can be resolved by a sensor – using the Nyquist frequency. Therefore, image space resolution is theoretically calculated as:
In the case of the HPC solvent, the figure would look slightly different as the potassium carbonate operates on a pressure swing absorption/desorption cycle as compared to the amine-based solvent which operates on a temperature swing absorption/desorption cycle.
As shown in the chart, you can count the number until the line pair degrades. It is where you can’t distinguish the black and white lines (due to merge, grey colors will appear). Typically, the values of this line will be mentioned in the resolution chart (100 x per picture height).
To understand how the theoretical and practical methods of calculating resolving power differ, we will look at how these are done for e-con Systems’ See3CAM_CU135 in the next section.
Resolving power is calculated as object space resolution. And object space resolution is derived from what is called the image space resolution. We will now look at both the terms and learn now they are calculated.
In a camera system, the image sensor receives incident light (photons) – either focused through a lens or any other optics. Hence, lens selection plays a major role in determining image quality, FoV (Field of View), DoF (Depth of Field), etc.
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Calculating the resolving power value of a camera lens practically involves taking into consideration the real aspect ratio of the camera.
Using the above data, you can validate how much lp/mm a particular lens would resolve at a specific working distance. Based on this, you can select the right lens for your application. It is pertinent to note that a change in FoV will affect the magnification factor, which will end up affecting the practical image space resolution.
Line pairs per mmand pixel size
Based on its previous experience with CO₂ capture plants and its expertise with gas-liquid absorbers, ANDRITZ selects the most suitable solvent blend for a given CO₂ concentration in the flue gas and a targeted capture rate. Depending on the customer's solvent preference, ANDRITZ can also design a solution based on hot potassium carbonate (HPC).
The resolving power of a lens is measured in line pair per millimeter or lp/mm. It is a measurement of spatial resolution used to calculate how small a detail in an image can be resolved by a lens. The unit expresses the number of line pairs you can fit within one millimeter.
lp/mm to resolution
If you are looking for help in selecting a camera solution with the best-fit lens for your application – no matter the industry, please write to us at camerasolutions@e-consystems.com. You can also visit our Camera Selector to get a full view of e-con Systems’ camera portfolio.
ANDRITZ is accelerating its activities to deploy with its customers technologies reducing carbon dioxide (CO2) emissions.
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To calculate the resolving power or object space resolution value using the human eye perception method, you need to first find the LW/PH (line width per picture height) value. To do this, you must observe the line pair highlighted in red (horizontal or vertical) in the resolution chart given in the previous section (Figure 1).
As shown in the figure, for an amine-based solvent, the CO₂-rich flue gas from the industrial process first enters a pre-scrubber where it is cooled (or quenched) and further treated to remove certain contaminants (acid gases, particulates, etc.) that would degrade the solvent.
The reason why this is called the human eye perception method is that the number of lines counted may differ depending on the ability of the observer to distinguish between two consecutive lines.
lp/mm to pixel size
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For instance, if you are using See3CAM_CU135 – a 13 MP high-resolution USB camera from e-con Systems™ – to read barcodes, you need to make sure that the lens you pick can meet the maximum desired resolution.
The flue gas then enters the absorption unit (or column) where the CO₂ is continuously absorbed (or scrubbed) by the solvent. The absorption process utilizes the reversible chemical reaction of CO₂ with the solvent. The CO₂-lean and clean flue gas leaves the top of the absorber towards the stack. The CO₂-rich solvent is transferred to the desorption unit (or stripper). Hot and partially fresh solvent from the reboiler enters the desorption unit, causing the CO₂ to be stripped from the solvent. As a result, a stream of pure CO₂ is collected at the top of the stripper. The CO₂ lean solvent is then regenerated and circulated to the absorber. The pure CO₂ stream is further processed to the required purity before being compressed, transported, or stored for future use (enhanced oil recovery, chemical synthesis, geological storage, etc.).
lp/mm calculator
In today’s blog, let’s look at how to determine the resolving power of a lens, which is one of the most critical parameters to consider while choosing a lens for your application.
To give you an example, if the aspect ratio considered for See3CAM_CU135 – 13MP USB camera – is 4:3, the image of the resolution chart has to be captured at that aspect ratio to finally arrive at the resolving power. Below is a sample image of the resolution chart taken at an aspect ratio of 4:3.
Line pairs per mmcalculator
Image space resolution is inversely proportional to the sensor’s pixel size. This means the smaller the pixel size, higher will be the image space resolution value.
Vinoth Rajagopalan is an embedded vision expert with 15+ years of experience in product engineering management, R&D, and technical consultations. He has been responsible for many success stories in e-con Systems – from pre-sales and product conceptualization to launch and support. Having started his career as a software engineer, he currently leads a world-class team to handle major product development initiatives
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