Interpolation
(Redirected from Interpolating)
Interpolation is a method of constructing new data points within the range of a discrete set of known data points. It is widely used in many fields including mathematics, physics, and computer graphics.
Overview[edit | edit source]
In the mathematical field, interpolation is a type of estimation, a method of constructing new data points within the range of a discrete set of known data points. The primary function of interpolation in mathematics is to estimate values that fall between two known values.
In computer graphics, interpolation is used to produce a smooth gradient or to resize digital images. In the realm of physics, it is used to predict values for an element based on the known values of surrounding elements.
Types of Interpolation[edit | edit source]
There are several types of interpolation methods, including:
- Linear Interpolation - This is the simplest method of interpolation. In this method, two points are connected by a straight line and the value of an intermediate point is estimated using this line.
- Polynomial Interpolation - This is a more general form of interpolation which involves fitting a polynomial that passes through given points.
- Spline Interpolation - This method involves fitting a special type of piecewise polynomial called a spline to the data points.
- Rational Interpolation - This is a type of interpolation where the interpolant is a rational function.
Applications[edit | edit source]
Interpolation has a wide range of applications in various fields. Some of the notable applications include:
- Image Processing - Interpolation is used in image processing to increase the size of an image or to correct distortions.
- Computer Graphics - In computer graphics, interpolation is used to create smooth transitions between points and lines.
- Numerical Analysis - Interpolation is used in numerical analysis to solve differential equations and to approximate functions.
- Geostatistics - In geostatistics, interpolation is used to predict unknown values for any geographic location, based on the values at surrounding locations.
See Also[edit | edit source]
References[edit | edit source]
| Interpolation Resources | |
|---|---|
|
 |
Search WikiMD
Ad.Tired of being Overweight? Try W8MD's physician weight loss program.
Semaglutide (Ozempic / Wegovy and Tirzepatide (Mounjaro / Zepbound) available.
Advertise on WikiMD
|
WikiMD's Wellness Encyclopedia |
| Let Food Be Thy Medicine Medicine Thy Food - Hippocrates |
Translate this page: - East Asian
中文,
日本,
한국어,
South Asian
हिन्दी,
தமிழ்,
తెలుగు,
Urdu,
ಕನ್ನಡ,
Southeast Asian
Indonesian,
Vietnamese,
Thai,
မြန်မာဘာသာ,
বাংলা
European
español,
Deutsch,
français,
Greek,
português do Brasil,
polski,
română,
русский,
Nederlands,
norsk,
svenska,
suomi,
Italian
Middle Eastern & African
عربى,
Turkish,
Persian,
Hebrew,
Afrikaans,
isiZulu,
Kiswahili,
Other
Bulgarian,
Hungarian,
Czech,
Swedish,
മലയാളം,
मराठी,
ਪੰਜਾਬੀ,
ગુજરાતી,
Portuguese,
Ukrainian
Medical Disclaimer: WikiMD is not a substitute for professional medical advice. The information on WikiMD is provided as an information resource only, may be incorrect, outdated or misleading, and is not to be used or relied on for any diagnostic or treatment purposes. Please consult your health care provider before making any healthcare decisions or for guidance about a specific medical condition. WikiMD expressly disclaims responsibility, and shall have no liability, for any damages, loss, injury, or liability whatsoever suffered as a result of your reliance on the information contained in this site. By visiting this site you agree to the foregoing terms and conditions, which may from time to time be changed or supplemented by WikiMD. If you do not agree to the foregoing terms and conditions, you should not enter or use this site. See full disclaimer.
Credits:Most images are courtesy of Wikimedia commons, and templates Wikipedia, licensed under CC BY SA or similar.
Contributors: Prab R. Tumpati, MD
