Implementing 2D Convolution
I implemented 2D Convolution from scratch in this project. (Link to Github Repo of Source Code) I recorded my output and performance results below.
The parameters associated with each of the tasks is given below.
PART A
The following two input images were used to carry out the 2d convolutions described in task A.
A Cartoon Image (1280 x 720)
A Checkerboard Image (1920 x 1080)
The output for part A is given below. The normalized output for part A is included at the end of the file.
Task 1
The following two images were produced using kernel_1. The checker board result indicates that kernel 1 functions as a form of horizontal edge detector.
Task 2
The following two images were produced using kernel_4.The checker board result indicates that kernel 4 also functions as a form of horizontal edge detector. We also observe that the edge detection is more pronounced in this case.
The following two images were produced using kernel_5. The checker board result indicates that kernel 5 functions as a form of vertical edge detector.
Task 3
Note that all the output images are smaller than the input image due to stride value being greater than 1.
The following two images were produced using kernel_1.The checker board result indicates that kernel 1 functions as a form of horizontal edge detector.
The following two images were produced using kernel_2. The checker board result indicates that kernel 2 functions as a form of vertical edge detector.
The following two images were produced using kernel_3. This kernel is supposed to be a smoothing filter.
PART B
Graphs showing the time taken for convolution as a function of the i Values (where 2^i = number of output channels), for each of the input images is given below.
PART C
Graphs showing the number of operations in the convolutions as a function of the given kernel sizes, for each of the input images is given below.
Normalized Output for PART A
Task 1
The following two images were produced using kernel_1.
Task 2
The following two images were produced using kernel_4.
The following two images were produced using kernel_5.
Task 3
The following two images were produced using kernel_1.
The following two images were produced using kernel_2.
The following two images were produced using kernel_3.
Written on April 6, 2018
