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 Page 1


INTERPOLATION
Page 2


INTERPOLATION
INTERPOLATION
• Used in 
• Zooming
• Shrinking
• Rotating
• Geometric corrections
Page 3


INTERPOLATION
INTERPOLATION
• Used in 
• Zooming
• Shrinking
• Rotating
• Geometric corrections
Concept
• Interpolation works by using known data to 
estimate values at unknown points.
Page 4


INTERPOLATION
INTERPOLATION
• Used in 
• Zooming
• Shrinking
• Rotating
• Geometric corrections
Concept
• Interpolation works by using known data to 
estimate values at unknown points.
IMAGE RESIZE EXAMPLE
NO INTERPOLATION
Page 5


INTERPOLATION
INTERPOLATION
• Used in 
• Zooming
• Shrinking
• Rotating
• Geometric corrections
Concept
• Interpolation works by using known data to 
estimate values at unknown points.
IMAGE RESIZE EXAMPLE
NO INTERPOLATION
WITH INTERPOLATION
Read More
115 videos|142 docs

FAQs on PPT - Interpolation and Extrapolation - Business Mathematics and Statistics - B Com

1. What is interpolation and extrapolation?
Ans. Interpolation is a mathematical method used to estimate values between known data points. It involves constructing a smooth curve or surface that passes through the given data points. Extrapolation, on the other hand, is used to estimate values beyond the known data range by extending the constructed curve or surface.
2. How is interpolation different from extrapolation?
Ans. Interpolation and extrapolation differ in terms of the range of data they work with. Interpolation estimates values within the known data range, while extrapolation estimates values beyond the known data range. Interpolation relies on the assumption that the estimated values will follow the same pattern as the known data, whereas extrapolation involves making predictions based on extending the known pattern.
3. What are the applications of interpolation and extrapolation?
Ans. Interpolation and extrapolation find applications in various fields such as finance, engineering, and data analysis. In finance, these techniques are used to estimate future stock prices or interest rates. In engineering, they help in predicting the behavior of materials under different conditions. In data analysis, interpolation and extrapolation aid in filling missing data points or making predictions based on existing data sets.
4. What are the limitations of interpolation and extrapolation?
Ans. Interpolation and extrapolation come with certain limitations. One limitation is that they assume the pattern observed in the known data will continue to hold in the estimated or predicted values. However, this may not always be the case in real-world scenarios where unforeseen factors can affect the pattern. Another limitation is that the accuracy of the estimates or predictions heavily depends on the quality and quantity of the available data.
5. What are some common interpolation and extrapolation techniques?
Ans. There are several common techniques used for interpolation and extrapolation. Some of the widely used methods include linear interpolation, polynomial interpolation, spline interpolation, and regression analysis. These techniques vary in complexity and suitability depending on the nature of the data and the desired level of accuracy.
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