Linier Algebra Calculator and Image Scaling
Linier Algebra Calculator and Image Scaling using Java CLI.
Contains programs on Systems of Linear Equations (SPL), Determinants, Polynomial Interpolation, Multi-Linear Regression, and Bicubic Spline Interpolation.
SPL Calculator
To solve SPL, we implemented many methods to solve it:
- Gauss Elimination Method
- Gauss-Jordan,
- Inverse Matrix
- Cramer's Rule.
Polynomial Interpolation
Given a list of points, find the polinom Pn(x) such that it goes trhough all of the data points. Basicly getting a Polynomial equation to that represents an equation that connects all of the distinct points.
Multi-Linear Regression
Linier Regression is predicting the value using Polynomial Interpolation. We will implement the general equation for Multi-Linear Regression.
Bicubic Spline Interpolation
Bicubic Spline Interpolation is used to predict the function from points of data, making a service that is smooth and continous.
Image Scaling (Quality Increase/Decrease using Bicubic Spline Interpolation)
Using the already implemented Bibucubic Spline Interpolation, we can apply it in increasing/decreasing an image quality. It improves the quality by adding more pixels to the image and using the pixel color resulted by the bicubic spline calculation.
Made by K20 - Panci Bolong:
- 13522091 Raden Francisco Trianto Bratadiningrat
- 13522093 Matthew Vladimir Hutabarat
- 13522098 Suthasoma Mahardhika Munthe