Poisson-Blending

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Poisson-Blending

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Poisson Blending (poisson equation with dirichlet boundary conditions poisson blending)

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## Dependencies

- Opencv `cv2`
- Matplotlib `matplotlib`
- Numpy `numpy`
- SciPy `scipy`

## Project Definition

In this project, with the help of **Solving Poisson Equation With Dirichlet Boundary Conditions By Numerical Solutions**, part of **Source** image
is blended into the **Target** image and the result of blending is given in the output.

Steps to solve **Poisson Equation With Dirichlet Boundary Conditions** numerically are as follows:

### 1. **Poisson Equation With Dirichlet Boundary Conditions** is defined as follows:

### 2. **Laplacian Approximation** Based On Taylor Expansion

### 3. Problem Statement as a Matrix Equation

---
## Results

| Source | Target | Pyramid Blending Result
| ------ | ------ | ----- |
| <img src="./sources/source1.jpg" alt="" width="250"/> | <img src="./targets/target1.jpg" alt="" width="250"/> |<img src="./results/res1.jpg" alt="" width="250"/> |
| <img src="./sources/source2.jpg" alt="" width="250"/> | <img src="./targets/target1.jpg" alt="" width="250"/> |<img src="./results/res2.jpg" alt="" width="250"/> |
| <img src="./sources/source3.jpg" alt="" width="250"/> | <img src="./targets/target1.jpg" alt="" width="250"/> |<img src="./results/res3.jpg" alt="" width="250"/> |
| <img src="./sources/source4.jpg" alt="" width="250"/> | <img src="./targets/target1.jpg" alt="" width="250"/> |<img src="./results/res4.jpg" alt="" width="250"/> |
| <img src="./sources/source5.jpg" alt="" width="250"/> | <img src="./targets/target1.jpg" alt="" width="250"/> |<img src="./results/res5.jpg" alt="" width="250"/> |
| <img src="./sources/source6.jpg" alt="" width="250"/> | <img src="./targets/target1.jpg" alt="" width="250"/> |<img src="./results/res6.jpg" alt="" width="250"/> |
| <img src="./sources/source7.jpg" alt="" width="250"/> | <img src="./targets/target1.jpg" alt="" width="250"/> |<img src="./results/res7.jpg" alt="" width="250"/> |
| <img src="./sources/source8.jpg" alt="" width="250"/> | <img src="./targets/target1.jpg" alt="" width="250"/> |<img src="./results/res8.jpg" alt="" width="250"/> |

Poisson-Blending

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