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Scale-invariant feature transform

After performing SIFT on a number of images and finding the location of the key points on those images, we realized that although SIFT recognizes the sharp corners and curvatures very well, it would not recognize key point along straight lines. Looking back at the SIFT algorithm, we found out that this is because straight lines are not scale and rotational invariant as compared to corners. Since SIFT focuses on the robustness of key points and on the features of an image, straight lines do not qualify as features.

Since, our goal is to identify squares in an image mainly comprised of geometric figures we are mostly dealing with straight lines. Hence, SIFT would not be a suitable algorithm for us to locate the edges in the image. We would need to resort to other methods. Due to time constraints we turned to Matlab edge Functions.

Hough transform

The Hough Transform correctly identified the squares in an image but was computationally expensive. Every single pixel in the image had to be looked at. Also if enough noise was added that an edge was lost the Hough transform ceased to work at all. Overall the Hough Transform is a more robust approach because it can be generalized to even more complex situations where the Moment of Inertia method cannot.

Moment of inertia

The Moment of Inertia method proved to be extremely rudimentary. It worked on simple images where the shapes had very different Moments of Inertia and the shapes did not overlap. But if the shapes overlapped the boundaries were lost and the shapes were not identified correctly. Also, if two shapes had similar Moments of Inertia the system would give a false positive. Obviously Moment of Inertia is not a method that can stand on its own. However, it only gives false positives. It won't accidentally mask out an actual result. Due to that and the fact that it is computationally very cheap, it could be used as a preprocessor for a more computationally expensive algorithm.

Future works

Continuing on from here, we want to optimize our implementations. After successfully improving the speed of our code we would want to solve the issue our Moment of Inertia method has with overlapping images. This could be solved by starting from the smallest shape and moving outward. Finally, we would reorganize our system to match the following design:

New design model

A dog sitting on a bed
A better system design. Use Matlab edge detection, preprocess with Moment of Inertia, and then pass through Hough Transform

Implementing this design would save computation time in the Hough transform. The Moment of Inertia would mask out shapes that were clearly not correct which would reduce the number of Hough Peaks and reduce the number of calculations. After implementing this improved system we would want to create our own way of obtaining the edges of our images besides Matlab.

Questions & Answers

Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
what school?
biomolecules are e building blocks of every organics and inorganic materials.
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
sciencedirect big data base
Introduction about quantum dots in nanotechnology
Praveena Reply
what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
Damian Reply
absolutely yes
how to know photocatalytic properties of tio2 nanoparticles...what to do now
Akash Reply
it is a goid question and i want to know the answer as well
characteristics of micro business
for teaching engĺish at school how nano technology help us
Do somebody tell me a best nano engineering book for beginners?
s. Reply
there is no specific books for beginners but there is book called principle of nanotechnology
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
what is the actual application of fullerenes nowadays?
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
what is the Synthesis, properties,and applications of carbon nano chemistry
Abhijith Reply
Mostly, they use nano carbon for electronics and for materials to be strengthened.
is Bucky paper clear?
carbon nanotubes has various application in fuel cells membrane, current research on cancer drug,and in electronics MEMS and NEMS etc
so some one know about replacing silicon atom with phosphorous in semiconductors device?
s. Reply
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Do you know which machine is used to that process?
how to fabricate graphene ink ?
for screen printed electrodes ?
What is lattice structure?
s. Reply
of graphene you mean?
or in general
in general
Graphene has a hexagonal structure
On having this app for quite a bit time, Haven't realised there's a chat room in it.
what is biological synthesis of nanoparticles
Sanket Reply
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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Source:  OpenStax, A comparison of object recognition using the hough transform and the properties of moment of inertia. OpenStax CNX. Dec 16, 2014 Download for free at http://legacy.cnx.org/content/col11727/1.4
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