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A probability histogram is a visual representation of a probability distribution. Similar a typical histogram, the probability histogram consists of contiguous (adjoining) boxes. It has both a horizontal axis and a vertical axis. The horizontal axis is labeled with what the data represents. The vertical axis is labeled with probability. Each rectangular bar in the histogram is 1 unit wide, which suggests that the area under each bar equals the probability, P(x), where x is 1, 2, 3, and so on.
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The relative frequency depicts the proportion of data points that have each value. The frequency tells the number of data points that have each value. Like the histogram, a relative frequency histogram also has the same shape with a horizontal scale (the x-axis), but the vertical scale (the y-axis) is marked with relative frequencies (percentages of the whole) instead of actual frequencies. A relative frequency histogram is a graphical representation of a frequency distribution where the...
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A toggle clamp is a mechanical device commonly used for holding and clamping objects in various applications, such as woodworking, metalworking, and assembly operations. Consider a toggle clamp subjected to a force of 200 N at the handle. The vertical clamping force can be calculated, provided the dimensions of the toggle clamp are known.
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Updated: Jan 24, 2026

Fluorescent Paper Strips for the Detection of Diesel Adulteration with Smartphone Read-out
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A Low-Cost Image Histogram and Machine Learning Approach for Detection of Cow Milk Adulteration.

Madhav Kumar1, Rakesh Kumar1, Abir Chakravorty1

  • 1Agricultural & Food Engineering Department, Indian Institute of Technology Kharagpur, Kharagpur, West Bengal, India.

Journal of Food Science
|January 23, 2026
PubMed
Summary
This summary is machine-generated.

A new machine learning method uses simple milk images to detect common adulterants like water and detergent. This affordable approach offers a practical solution for food safety testing in resource-limited settings.

Keywords:
cornstarchfood safetyimage histogram analysismaltodextrinmilk adulterationonsite applicationpixel intensitysynthetic milk

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Area of Science:

  • Food Science
  • Analytical Chemistry
  • Computer Science

Background:

  • Milk adulteration poses significant food safety and public health risks.
  • Limited access to rapid, inexpensive testing methods hinders detection, especially in certain regions.
  • Traditional laboratory analyses are often costly and time-consuming.

Purpose of the Study:

  • To develop a simple, affordable, and accessible method for detecting common milk adulterants.
  • To utilize image analysis and machine learning for milk quality assessment.
  • To provide a practical alternative to expensive spectroscopic techniques.

Main Methods:

  • Collected digital images of pure milk samples and samples adulterated with water, detergent, starch, and synthetic milk.
  • Extracted image statistics including brightness, variance, skewness, and kurtosis to analyze light scattering and turbidity.
  • Employed Principal Component Analysis (PCA) for data dimensionality reduction.
  • Utilized Support Vector Machines (SVMs) for classification of adulterated versus pure milk samples.

Main Results:

  • The developed model achieved approximately 85% accuracy in identifying various types and amounts of adulteration.
  • Specific adulterants induced unique changes in image statistics: water increased mean intensity, while detergent, starch, and synthetic milk altered skewness and kurtosis.
  • The method demonstrated effectiveness in distinguishing between pure and adulterated milk based on optical properties.

Conclusions:

  • Image analysis combined with machine learning offers a viable, economical approach for milk adulteration detection.
  • This method is faster, requires no chemicals, and is more accessible than traditional spectroscopic methods.
  • The technique is suitable for rapid quality control checks at points of sale or in remote areas.