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# Matlab代写 | ENGN 6528/4528 Assignment

### Matlab代写 | ENGN 6528/4528 Assignment

ENGN 6528/4528 Assignment
[For this assignment, we are going to provide tutorial but no lab sessions.
You are encouraged to finish it by yourself.]
1. Consider the filter = [1,2,1] and the 1D image = [0,1,2,4,10,3,4]. What is the
result of ∗ ? Pad the image with zeros at the boundaries if necessary. [2pts]
2. The boundary of a set A, denoted by (), can be obtained by first eroding A by B
and then perform the set difference between A and its erosion. That is () = −
( ⊝ ), where ⊝ denotes the erosion operation, B is a suitable structuring element.
Note that ‘grey’ represents binary 1s and white binary 0s in this question.
(1) Given A and B as follows, please plot ⊝ . [1pt]
3. Contour Detection [10 pts+5 pts(extra)]
[Acknowledgement: Lab material with code courtesy of Professor. Saurabh Gupta from
In this problem we will build a basic contour detector. We will work with some
images from the BSDS dataset , and benchmark the performance of our contour
detector against human annotations. You can review the basic concepts from lecture
on edge detection (week3 & week4).
We will generate a per-pixel boundary score. We will start from a bare bone edge
detector that simply uses the gradient magnitude as the boundary score. We will add
non-maximum suppression, image smoothing, and optionally additional bells and
whistles. We have provided some starter code, images from the BSDS dataset and
evaluation code. Note that we are using a faster approximate version of the evaluation
code, so metrics here won’t be directly comparable to ones reported in papers.
(mp2.zip)(see contour−data, contour_demo.py/contour_demo.m). The code has
implemented a contour detector that uses the magnitude of the local image gradient as
the boundary score. This gives us overall max F-score, average max F-score and AP
(average precision) of 0.51, 0.56, 0.41 respectively. Reproduce these results by
running contour_demo.py/contour_demo.m. Confirm your setup by matching these
results. Note that the matlab version may be with 0.01difference from the python code
due to the difference in inbuilt functions.
A
Origin
B
When you run contour_demo.py/contour_demo.m, it saves the output contours in the
folder output/demo, prints out the 3 metrics, and produces a precision-recall plots at
contour−output/demo_pr.pdf. Overall max F-score is the most important metric, but
we will look at all three.
a. (a) [1 pts] Warm-up. As you visualize the produced edges, you will notice
artifacts at image boundaries. Modify how the convolution is being done to
minimize these artifacts.
b. (b) [3 pts] Smoothing. Next, notice that we are using [−1, 0, 1] filters for
computing the gradients, and they are susceptible to noise. Use derivative of
Gaussian filters to obtain more robust estimates of the gradient. Experiment
with different sigma for this Gaussian filtering and pick the one that works the
best.
c. © [6 pts] Non-maximum Suppression. The current code does not produce thin
edges. Implement non- maximum suppression, where we look at the gradient
magnitude at the two neighbours in the direction perpendicular to the edge.
We suppress the output at the current pixel if the output at the current pixel is
not more than at the neighbors. You will have to compute the orientation of
the contour (using the X and Y gradients), and implement interpolation to
lookup values at the neighbouring pixels.
In the code, you may need to define your own edge detector with nonmaximum suppression. Note that all the functions are called in
‘detect_edges()’.
d. (d) [Upto 5 pts] Extra Credit. You should implement other modifications to
get this contour detector to work even better. Here are some suggestions:
compute edges at multiple different scales, use color information, propagate
strength along a contiguous contour, etc. You are welcome to read and
implement ideas from papers on this topic.
For each of the modifications above, your report should include:
• key implementation details focusing on the non-trivial aspects, hyper-parameters
that worked the best,
• contour quality performance metrics before and after the modification.
• impact of modification on run-time,
• visual examples that show the effects of the modification on two to three images.
Useful material for solving this question:
Reference:
 A Database of Human Segmented Natural Images and its Application to Evaluating
Segmentation Algorithms and Measuring Ecological Statistics. D. Martin and C. Fowlkes
and D. Tal and J. Malik, ICCV 2001. 