## Bilinear Interpolation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Bilinear Interpolation = Coefficient a*X Co-ordinate+Coefficient b*Y Co-ordinate+Coefficient c*X Co-ordinate*Y Co-ordinate+Coefficient d
Vx,y = A*X+B*Y+C*X*Y+D
This formula uses 7 Variables
Variables Used
Bilinear Interpolation - Bilinear Interpolation is a resampling method in image processing that calculates pixel values using a weighted average of the four nearest pixels, providing smoother transitions.
Coefficient a - Coefficient a is one of the four coefficients determined from the four equations in four unknowns that can be written using the four nearest neighbors of point (x,y).
X Co-ordinate - X Co-ordinate of the location to which we want to assign an intensity value.
Coefficient b - Coefficient b is one of the four coefficients determined from the four equations in four unknowns that can be written using the four nearest neighbors of point.
Y Co-ordinate - Y Co-ordinate of the location to which we want to assign an intensity value.
Coefficient c - Coefficient c is one of the four coefficients determined from the four equations in four unknowns that can be written using the four nearest neighbors of point (x,y).
Coefficient d - Coefficient d is one of the four coefficients determined from the four equations in four unknowns that can be written using the four nearest neighbors of point (x,y).
STEP 1: Convert Input(s) to Base Unit
Coefficient a: 3.5 --> No Conversion Required
X Co-ordinate: 7 --> No Conversion Required
Coefficient b: 1.15 --> No Conversion Required
Y Co-ordinate: 6 --> No Conversion Required
Coefficient c: 4.15 --> No Conversion Required
Coefficient d: 2.15 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vx,y = A*X+B*Y+C*X*Y+D --> 3.5*7+1.15*6+4.15*7*6+2.15
Evaluating ... ...
Vx,y = 207.85
STEP 3: Convert Result to Output's Unit
207.85 --> No Conversion Required
207.85 <-- Bilinear Interpolation
(Calculation completed in 00.004 seconds)
You are here -
Home »

## Credits

Created by Surya Tiwari
Punjab Engineering College (PEC), Chandigarh, India
Surya Tiwari has created this Calculator and 9 more calculators!
Verified by Parminder Singh
Chandigarh University (CU), Punjab
Parminder Singh has verified this Calculator and 500+ more calculators!

## <Basics of Image Processing Calculators

Bilinear Interpolation
​ Go Bilinear Interpolation = Coefficient a*X Co-ordinate+Coefficient b*Y Co-ordinate+Coefficient c*X Co-ordinate*Y Co-ordinate+Coefficient d
Digital Image Row
​ Go Digital Image Row = sqrt(Number of Bits/Digital Image Column)
Digital Image Column
​ Go Digital Image Column = Number of Bits/(Digital Image Row^2)
Number of Grey Level
​ Go Grey Level Image = 2^Digital Image Column

## Bilinear Interpolation Formula

Bilinear Interpolation = Coefficient a*X Co-ordinate+Coefficient b*Y Co-ordinate+Coefficient c*X Co-ordinate*Y Co-ordinate+Coefficient d
Vx,y = A*X+B*Y+C*X*Y+D

## What is Bilinear Interpolation?

Bilinear Interpolation, is in which we use the four nearest neighbors to estimate
the intensity at a given location.

## How to Calculate Bilinear Interpolation?

Bilinear Interpolation calculator uses Bilinear Interpolation = Coefficient a*X Co-ordinate+Coefficient b*Y Co-ordinate+Coefficient c*X Co-ordinate*Y Co-ordinate+Coefficient d to calculate the Bilinear Interpolation, Bilinear Interpolation is a method for interpolating functions of two variables (e.g., x and y) using repeated linear interpolation. It is usually applied to functions sampled on a 2D rectilinear grid, though it can be generalized to functions defined on the vertices of (a mesh of) arbitrary convex quadrilaterals. Bilinear Interpolation is denoted by Vx,y symbol.

How to calculate Bilinear Interpolation using this online calculator? To use this online calculator for Bilinear Interpolation, enter Coefficient a (A), X Co-ordinate (X), Coefficient b (B), Y Co-ordinate (Y), Coefficient c (C) & Coefficient d (D) and hit the calculate button. Here is how the Bilinear Interpolation calculation can be explained with given input values -> 207.85 = 3.5*7+1.15*6+4.15*7*6+2.15.

### FAQ

What is Bilinear Interpolation?
Bilinear Interpolation is a method for interpolating functions of two variables (e.g., x and y) using repeated linear interpolation. It is usually applied to functions sampled on a 2D rectilinear grid, though it can be generalized to functions defined on the vertices of (a mesh of) arbitrary convex quadrilaterals and is represented as Vx,y = A*X+B*Y+C*X*Y+D or Bilinear Interpolation = Coefficient a*X Co-ordinate+Coefficient b*Y Co-ordinate+Coefficient c*X Co-ordinate*Y Co-ordinate+Coefficient d. Coefficient a is one of the four coefficients determined from the four equations in four unknowns that can be written using the four nearest neighbors of point (x,y), X Co-ordinate of the location to which we want to assign an intensity value, Coefficient b is one of the four coefficients determined from the four equations in four unknowns that can be written using the four nearest neighbors of point, Y Co-ordinate of the location to which we want to assign an intensity value, Coefficient c is one of the four coefficients determined from the four equations in four unknowns that can be written using the four nearest neighbors of point (x,y) & Coefficient d is one of the four coefficients determined from the four equations in four unknowns that can be written using the four nearest neighbors of point (x,y).
How to calculate Bilinear Interpolation?
Bilinear Interpolation is a method for interpolating functions of two variables (e.g., x and y) using repeated linear interpolation. It is usually applied to functions sampled on a 2D rectilinear grid, though it can be generalized to functions defined on the vertices of (a mesh of) arbitrary convex quadrilaterals is calculated using Bilinear Interpolation = Coefficient a*X Co-ordinate+Coefficient b*Y Co-ordinate+Coefficient c*X Co-ordinate*Y Co-ordinate+Coefficient d. To calculate Bilinear Interpolation, you need Coefficient a (A), X Co-ordinate (X), Coefficient b (B), Y Co-ordinate (Y), Coefficient c (C) & Coefficient d (D). With our tool, you need to enter the respective value for Coefficient a, X Co-ordinate, Coefficient b, Y Co-ordinate, Coefficient c & Coefficient d and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Let Others Know