CS 585 Homework 2

CS 585 HW 1
Di Zhu
Teammate: Jinghui Ning
Sep.26, 2018


Problem Definition

A set of images is given as input. Each image contains one to four different shape blobs(square, triangle, circle) in different colors.
The requirents to the program are:

  1. For each shape image, determine its background color and label each and every shape blobs according to their color.
  2. For each shape blob, implement a border following algorithm to find its outermost contour (i.e. the border pixels) and compare it with OpenCV's "findContours" function.
  3. For each shape blob, classify its border pixels (in other words, segment its outermost contour) into three types: borders against the background, borders against another shape blob and borders that are a border of the whole image.
  4. (Optional) You may also segment the border according to their convexity, i.e. find out all convex segments and concave segments. This may help you analyze its shape type.
  5. For each shape blob, come up with an algorithm that can recognize its shape type (square, circle, or triangle).


Method and Experiments

The general ideas are the production of dicussions between JInghui and me. Based on the fruit of our dicussion, we came up with our own implementation.

Step1. Denoising and Determine the background color

The original image is in JPEG format. Due to the compression algorithm used in JEPG images, the original images are high-noised. As illustrated below, the colors on the edges of blobs are somehow blurred, indicating that in one blob there are several different colors. We need to denoise the image before finding the contours.

We check the color of each pixel and calculate the number of appearance. The color that appears the most is considered the background color.

To denoise the image, we used the average filter function Blur: void blur(InputArray src, OutputArray dst, Size ksize, Point anchor=Point(-1,-1), int borderType=BORDER_DEFAULT ).
In our case, the parameter ksize = Size(3, 3).

Step2. Find Contours of Image

The denoised image is ready for us to find its contours. For each pixel in the image, if the RGB value of this pixel is considerably different(threshold = 10)from the RGB value of one of the pixels in its N8 neighbourhood, this pixel is marked as contour. After the procedure is done, we use erode() function to thin the contours to proper width.

Step3. Fill and color

There are still some noise signals in the original image. Now that we have the contours, we can fill it and color it to get an image in which only one color exists in one shape blob. We dilate the image for further use.

Step4. Add borders to the image

We need contours to perform the remaining tasks but the image we have from step.3 is without contours. We added contours to the image from step.3 using bit OR operation. Because of the dilation, some blobs are not entirely surrounded by contours. We implemented a repairTheContours(Mat &image) function to repair the contours.

Step5. Smooth and Recolor

We want the contours to have width of 1 pixel. To achieve this, I implemented a recolorAndSmooth(Mat &image) function to thin the contours and refill the holes after the contour pixel is removed.

Step6. Classify the borders

Its easy to classify the borders since the width of borders is thinned to 1 pixel. I use white to represent the borders between blobs, blue to represent the borders between blob and background and red, borders between blob and the boundary of the image

Step7. Determine the shapes

We use the gradients to classify the shape. We get the slope between some points on the border against the background. If most slopes are 0, the blob is a square. If a certain proportion of slopes is near 3, the blob is a triangle. Otherwise, the blob is a circle.

Step8. Calculate the precision

To calculate the presicion, we obtain the centroid of each blob. We check whether it is in one of the white blobs of the annotation masks. If so, we compare the filename with estimated shape type to get TP and FP..


Results

Trial Source Image Background color Borders Classified Contours Blobs
No.1000
No.1001
No.1036

Precision

Shape TP FP Precision
Square 295 15 0.95
Triangle 320 5 0.98
Circle 316 52 0.86
Undetected 71 ---- ----
Overall 0.87 ---- ----


Discussion

Discuss your method and results: