1. Dynamic Image Spherization using Programmable Logic
Barry University, Department of Math and Computer Science By
Dr. James Haralambides, Hugo Torres, Reynaldo Pino

2. Objectives to be covered.
Intro to image-filtering
Spherization theory
Algorithm
Hardware Components
Conclusions
Questions?

3. Introduction to Image Filtering
Modification of an image to achieve a modified result.
Edge Detection
Gaussian Blur
Embossing

4. Image Filtering continued…
Spherization- modifying a 2D image so that it appears to be wrapped around a 3D sphere.
Before
Before
After
After

5. Spherization theory To spherize an image:
Describing the pixel’s location:
Done using polar coordinates:
Establish the center: W/2
Establish the angle of the input pixel in relation to the center using the Arctangent function.
Find the Euclidian distance of the input pixel with relation to the newly established center.

6. Spherization theory continued…
Pixel’s original location serves as reference to find the data to be placed at the new location, since the data about the pixel itself remains unchanged. The function to find each pixel’s new location is given by

7. Hardware/Software Components
FPGA
Integrated circuit designed to be reprogrammed

8. Components(continued…)
Serial Cable
Used to transfer image data
Monitor
Used to display old and new image
Visual Basic
Used to capture image and to compile the table.

9. Algorithm used image capture using web-cam
convert image to 3-bit color (FPGA limitation)      
Serial cable transmission  
store image to block RAM
compute spherized image's pixels using sqrt, atan, sin/cos

10. Extensions We are not limited to just one model of spherization:
Different modes of extentions exist:
Center of sphere is offset.
Radius is smaller than normal Spherization filter
Negative Spherization.
Offset
Small Radius
Negative

11. Conclusions
FPGA is limited compared to modern desktop, hence why using it to spherize an image is more complex than just using photoshop.
The student version of the FPGA board is limited in color depth, data transmission, speed and memory size.
Development boards are simply the opposite, used for professional designs.

12. Questions?