16-726 Learning-Based Image Synthesis - Assignment 2: Gradient Domain Fusion - prabhdes

1. Overview

Poisson blending is a sophisticated image processing technique used for seamlessly merging an object or texture from a source image into a target image. The core principle of this method is the emphasis on the gradient of the image rather than the overall intensity. By preserving the gradients of the source image while aligning with the intensity values of the target image, Poisson blending achieves a smooth transition between the two images without creating noticeable seams. The technique involves solving a Poisson equation that ensures the transplanted pixels in the target image maintain the same gradient as their corresponding pixels in the source image, thus retaining the essential features of the source object. This approach not only facilitates seamless image composition but also opens up possibilities for applications like tone mapping and non-photorealistic rendering.

2. Toy Problem

To demonstrate the effectiveness of our gradient domain processing technique, we start with a simple example to reconstruct an image from its gradients. By computing the x and y gradients of a source image and using one pixel intensity as a boundary condition, we aim to minimize the differences in gradients between the reconstructed image and the source. This approach ensures that the top-left corners of both images match in color, providing a solid foundation for more complex image blending tasks. toy_soldier

3. Poisson Blending

To seamlessly merge an object or texture from a source image into a target image, we employ Poisson blending, which surpasses the naive copy-paste approach by ensuring smooth transitions and eliminating visible boundaries. This technique leverages the gradient information from both images, solving a Poisson equation to minimize the gradient differences in the overlapping regions. The process involves identifying the region of interest in the source image, creating a binary mask, and then solving a linear system of equations to harmonize the gradients while respecting the boundary conditions. The result is a naturally integrated image, ideal for applications like object insertion and texture synthesis.

Good Blends:

q2_bear q2_minions q2_penguin

Failure Case:

q2_spongebob

4. Bells & Whistles : Mixed Gradient Blending

q3_1 q3_2

5. Bells & Whistles : Color2Gray

q4