An automatic algorithm for object recognition and detection based on asift keypoints kunal

Signal & Image Processing : An International Journal (SIPIJ) Vol.3, No.5, October 2012
DOI : 10.5121/sipij.2012.3503 29
AN AUTOMATIC ALGORITHM FOR OBJECT
RECOGNITION AND DETECTION BASED ON ASIFT
KEYPOINTS
Reza Oji
Department of Computer Engineering and IT, Shiraz University
Shiraz, Iran
oji.reza@gmail.com
ABSTRACT
Object recognition is an important task in image processing and computer vision. This paper presents a
perfect method for object recognition with full boundary detection by combining affine scale invariant
feature transform (ASIFT) and a region merging algorithm. ASIFT is a fully affine invariant algorithm that
means features are invariant to six affine parameters namely translation (2 parameters), zoom, rotation
and two camera axis orientations. The features are very reliable and give us strong keypoints that can be
used for matching between different images of an object. We trained an object in several images with
different aspects for finding best keypoints of it. Then, a robust region merging algorithm is used to
recognize and detect the object with full boundary in the other images based on ASIFT keypoints and a
similarity measure for merging regions in the image. Experimental results show that the presented method
is very efficient and powerful to recognize the object and detect it with high accuracy.
KEYWORDS
Object recognition, keypoint, affine invariant, region merging algorithm, ASIFT.
1. INTRODUCTION
Extracting the points from an image that can give best define from an object in image namely
keypoints is very important and valuable. These points have many applications in image
processing like object detection, object and shape recognition, image registation and object
tracking. By extracting the keypoints, we can use them for finding objects in the other images.
Detect and recognize the object by using the keypoints and a segmentation algorithm is very
accurate because if the keypoints are correctly identified, they achieve the best information from
the image. ASIFT is a fully affine invariant method with respect to six parameters of affine
transform [1,2], wherease the previous method SIFT was invariant with respect to four parameters
namely translation, rotation and change in scale (zoom) [3]. ASIFT cover two other parameters
namely longitude and latitude angle that are relevant to camera axis orientation. It means that
ASIFT is more effective for our goal and can be more robust in the changes of images.
Many image segmentation and object recognition algorithms have been presented, each having its
own specifications [4,5]. Some of these algorithm are interactive image segmentation based on
region merging [6,7]. One of them is a powerful algorithm [8] for detecting object and its
boundary but it is not an automatic algorithm and has a problem. In this algorithm the users must
indicate some of locations and regions of the background and object to run the algorithm.

30
In this paper, we combined ASIFT results and a region merging algorithm to recognize objects in
images and detect them with full boundary. The presented algorithm does not have the stated
problem in region merging algorithm. It means that, the algorithm does not need to indicate
regions by user. We use the best keypoints of object that has been obtained from ASIFT results
and apply them into the image. Therefore, the method will be an automatic algorithm and will not
need marks by users and the achieved keypoints from ASIFT have been replaced with them.
Lowe presented an object recognition algorithm [9] based on SIFT, but object recognition and
detection algorithm with full boundary by using ASITF, has not yet been presented. Therefore, at
this time we have an automatic algorithm for object recognition and full detection by using the
obtained keypoints from ASIFT algorithm. These keypoints are very efficient and give us the best
information of object to find it in the other images.
2. THE ASIFT ALGORITHM
ASIFT is an improved algorithm from SIFT. SIFT has been presented by Lowe (1994) where
SIFT is invariant to four of the six parameters of affine transform. ASIFT simulates all image
views obtained by the longitude and the latatude angle (varying the two camera axis orientation
parameters) and then applies the other parameters by using the SIFT algorithm. There is a new
notion called transition tilt that is designed to quantify the amount of tilt between two such
images. In continuation, major steps of the algorithm are described.
2.1. The Affine Camera Model
Image distortions coming from viewpoint changes can be modeled by affine planar transforms.
Any affine map A is defined:







 −















 −
=Α
ϕϕ
ϕϕ
ψψ
ψψ
λ cossin
sincos
10
0
cossin
sincos t
(1)
Which we note A = λ R1(ψ)Tt R2(φ), where λ > 0, λt is the deteminant of A, Ri are rotations, φ ϵ
[0,180), and Tt is a tilt namely a diagonal matrix with first eigenvalue t > 1 and the second one
equal to 1. Figure1, shows a camera motion interpretation of (1). θ and φ = arccos 1/ t are
respectively the camera optical axis longitude and latitude, λ corresponds to the zoom and a third
angle ψ parameterizes the camera spin.
Figure 1. Camera motion interpretation
According to up preamble, each image should be transformed by simulating all possible affine
distortions caused by the changes of camera optical axis orientations from a frontal position.
These distortions depend upon two parameters, the longitude and the latitude. rotations and tilts
are performed for a finite number of angles to decrease complexity and time computation. The
sampling steps of these parameters ensuring that the simulated images keep close to any other
possible view generated by other values of φ and θ.

31
After this process, the SIFT algorithm will be applied in all simulated images. The other steps are
relevant to SIFT.
2.2. Scale Space Extremum Detection
The next step is extracting keypoints that are invariant to changes of scale. We need to search for
stable features in all possible changes. In previous research it has been shown that for this task,
the Gaussian function is the only possible scale-space kernel. A function, L(x,y,σ), is the scale-
space of an image that is obtained from the convolution of an input image, I(x,y), with a variable
scale-space Gaussian function, G(x,y,σ). For efficiently detect stable keypoint locations, Lowe
proposed using the scale-space extremum in difference-of-Gaussian (DOG) function, D(x,y,σ).
Extremum computed by the difference of two nearby scales separated by a constant factor K (2):
, (2)
This process repeats in several octaves. In each octave, the initial image is repeatedly convolved
with Gaussians to produce the set of scale space images. Adjacent Gaussian images are subtracted
to produce the difference-of-Gaussian images. After each octave, the Gaussian images are down-
sampled by a factor of 2, and the process repeated. Figure 2, shows a visual representation from
this process.
Figure 2. Visual representation of DOG in octaves
Each sample point (pixel) is compared with its neighbors according to their intensities for finding
out whether is smaller or larger than neighbors. For more accuracy, each pixel will be checked
with the eight closest neighbors in image location and nine neighbors in the scale above and
below (Figure 3). If the point is an extremum against all 26 neighbors, is selected as candidate
keypoint. The cost of this comparison is reasonably low because most sample point will be
eliminated at first few checks.
( ) ( )2 2 2
2
2
1
, ,
2
x y
G x y e
σ
σ
πσ
− +
=
( ) ( ) ( )( ) ( )
( ) ( )
, , , , , , ,
, , , ,
D x y G x y k G x y I x y
L x y k L x y
σ σ σ
σ σ
= − ∗
= −

32
Figure 3. Local extremum detection of DOG
2.3. Accurate Keypoint Localization
For each candidate keypoint interpolation of nearby data is used to accurately determine its
position. Then, many keypoints that are unstable and sensitive to noise, like the points with low
contrast and the points on the edge, will be eliminated. (Figure 4)
Figure 4. (a) Extremum of DOG across scales. (b) Remaining keypoints after removal of low
contrast points. (c) Remaining keypoints after removal of edge responses.
2.4. Assigning an Orientation
The next step is assigning an orientation for each keypoint. By this step, the keypoint descriptor
[10] can be represented relative to this orientation and therefore get invariance to image rotation.
For each Gaussian smoothed image sample, points in regions around keypoint are selected and
magnitude, m, and orientations, θ, of gradiant are calculated (3):
(3)
Then, created weighted (magnitude + gaussian) histogram of local gradiant directions computed
at selected scale. Histogram is formed by quantizing the orientations into 36 bins to covering 360
degree range of orinetations. The highest peak in the histogram is detected where peaks in the
orientation histogram correspond to dominant directions of local gradiant. (Figure 5)
22
))1,()1,(()),1(),1((),( −−++−−+= yxLyxLyxLyxLyxm
))),1(),1(/())1,()1,(((tan),( 1
yxLyxLyxLyxLyx −−+−−+= −
θ

33
Figure 5. Visual representation of orientation histogram.
(the histogram is shown in 7 bins)
2.5. Keypoint Descriptor
The previous operations have assigned location, scale, and orientation to each keypoint and
provided invariance to these parameters. Remaining goals are to define a keypoint descriptor [11]
for the local image regions and reduce the effects of illumination changes.
The descriptor is based on 16×16 samples that the keypoint is in the center of. Samples are
divided into 4×4 subregions in 8 directions around keypoint. Magnitude of each point is weighted
and gives less weight to gradients far from keypoint (Figure 6). Therefore, feature vector
dimensional is 128 (4×4×8).
Figure 6. A keypoint descriptor
Finally, vector normalization is applied. The vector is normalized to unit length. A change in
image contrast in which each pixel value is multiplied by a constant will multiply gradients by the
same constant. Contrast change will be canceled by vector normalization and brightness change
in which a constant is added to each image pixel will not affect the gradient values, as they are
computed from pixel differences.
Now we can find keypoints from an image in the other images and match them together. One
image is the training sample of what we are looking for and the other image is the world picture
that might contain instances of the training sample. Both images have features associated with
them across different octaves. Keypoints in all octaves in one image independently match with all
keypoints in all octaves in other image. Features will be matched by using nearest neighbor
algorithm. The nearest neighbor is defined as the keypoint with minimum Eculidean distance for
the invariant descriptor vector as described upside. Also to solve the problem of features that have
no correct match due to some reason like background noise or clutter, a threshold at 0.8 is chosen
for ratio of closest nearest neighbor with second closest nearest neighbor that obtained

34
experimentally . If the distance is more than 0.8, then the algorithm does not match keypoints
together.
3. PROPOSED OBJECT RECOGNITION AND DETECTION METHOD
For each object, we train it by ASIFT algorithm in several images with different scales and
viewpoints to find best keypoints to recognize desire object in the other images. Then, by using
these keypoints and a region merging algorithm the object will be detected. A maximal similarity
region mering segmentation algorithm was propoesd by Ning. This algorithm is based on a region
merging method with using initial segmentation of mean shift [12] and user markers. User marks
part of object and background to help the region merging process by maximal similarity. The
non-marker background regions will be automatically merged while the non-marker object
regions will be identified and avoided from being merged with background. It can extract the
object from complex scenes but there is a weakness that the algorithm needs user marks, hence,
the algorithm is not automatic. In our algorithm, we use this region merging but without user
marks. We propose an efficient method for object recognition and detection by combining ASIFT
keypoints (instead of user marks) with an automatic segmentation based on region merging which
can detect object with full boundary.
3.1. Region Merging Based on Maximal Similarity
An initial segmentation is required to partition image into regions for region merging in further
steps. We use the mean shift segmentation software namely the EDISON System [13] for initial
segmentation because it can preserve the boundries well and has high speed. Any other low level
segmentation like super-pixel and watershed can be used too. Please refer to [14,15] for more
information about mean shift segmentation.
There is many small region after initial segmentation. These regions represent using color
histogram that is an effective descriptor because different regions from the same object often
have high similarity in color whereas there have variation in other aspects like size and shape.
The color histogram computed by RGB color space. We uniformly quantize each color chanel
into 8 levels. Therefore, the feature space is 8×8×8=512 and the histogram of each region is
computed in 512 bins. The normalized histogram of a region X denote by HistX. Now we want to
merge the regions by their color histogram that can extract the desired object.
When we applied ASIFT keypoints in the image, some regions in image that are relevant to object
in image are compoesd of keypoints and the others are not. Here, an important issue is how to
define the similarity between the regions inclusive keypoints with the regions without any point
so that the similar regions can be merged. We use the Euclidean distance for this target because
that is a well known goodness of fit statistical metric and simple.Therefore, ∆(X,Y) is a similarity
measure between two regions X and Y based on the Euclidean distance (4):
( ) ( )∑=
−=∆
512
1
2
,
e
e
Y
e
X HistHistYX (4)
Where HistX and HistY are the normalized histograms of X and Y. Also, The superscript m is mth
member of the histograms. Lower Euclidean distance between X and Y means that the similarity
between them is higher.

35
3.2. The Merging Process
In the merging process we have three regions in the image with diferent lables: the object regions
denote by RO that are identified by obtained keypoints from training ASIFT algorithm, the regions
around the images denote by RB that usually are not inclusive objects, therefore, we cover all
around the images as initial background regions to help and start the merging process and the
third regions, the regions without any sign denote by N.
The merging rule is defined in continue (5). Let Y be an adjacent region of X and SY is the set of
Y’s adjacent region that X is one of them. The similarity between Y and SY, i.e. ∆(Y,SY), is
calculated. We will merge X and Y together if and only if the similarity between them is the
maximum among all the similarities ∆(Y,SY).
Merge X and Y if ∆(X,Y) = max ∆(Y,SY) (5)
The main strategy is to keep object regions from merging and merge background regions as many
as possible. In the first stage, we try to merge background regions with their adjacent regions.
Each region B ϵ RB will be merged into adjacent region if the merging rule is be satisfied. If the
merging accured, the new region has the same label as region B. This stage will be repeated
iteratively and in each iteration RB and N will be updated. Obviously, RB expands and N shrink
due to merging process. The process in this stage stops when background regions RB can not find
any region for new merging.
After this stage, still, some background regions are, that can not be merged due to merging rule.
In next stage we will focus on the remaining regions in N from the first stage that are combination
of background (N) and object (RO). As before, the regions will be merged based on merging rule
and the stage will be repeated iteratively and updated and stops when the entire region N can not
find new region for merging. These stages will be repeated again until the merging is not occured.
Finaly, all remaining regions in N will be labeled as object and merged into RO and we can easily
extract the object from the image.
4. EXPERIMENTAL RESULTS
Our results show that the proposed method is very powerfull and robust for object recognition and
detection. We trained three objects (rack, bottle and calendar) from an online dataset [16] in
several views with different scales and illuminations for checking our method. Using ASIFT
keypoints in the region merging algorithm based on maximal similarity, helped us to obtain
significant results. These keypoints are very exact and come from a strong algorithm (ASIFT)
with statistical basis. Moreover, the keypoints give us the best information of objects which are
very useful for merging process.
Figure 7, shows ASIFT keypoints on the images with initial mean shift segmentation and detected
objects with their boundaries. First row, (a), is relevant to the rack dataset, second row, (b), is the
bottle and thirth row, (c), is the calendar.

36
(a)
(b)
(c)
Figure 7. Left column: ASIFT keypoints with initial mean shift segmentation
right column: detected object with its boundary.
Accuracy rate (6) of full boundary detection for each object is computed and shown in Table 1.
Results show that the accuracy rate of datasets is close together.
do
to
N
N
RateAccuracy ×= 100 (6)
Where Nto indicates the number of trained images of each dataset and Ndo means the number of
full detected objects respective to the dataset.

37
Table 1. Accuracy rate of three datasets.
Dataset No. of trained
images
No. of tested
images
No. of full
detected object
Accuracy
rate
Rack 60 30 26 86.66 %
Bottle 60 30 28 93.33 %
Calendar 60 30 29 96.66 %
In the previous paper [17], we used SIFT keypoints to recognize the objects and utilized City
Block distance as similarity measure to compare the regions. But, in this paper, we have used
ASIFT keypoints instead of SIFT keypoints. Also, the Euclidean distance has been replaced with
the City Block distance. Comparison between detection rates of [17] and the proposed algorithm
in this paper, shows that the proposed method is more accurate than [17] for object recognition
and detection. For this Comparison, we have applied the proposed algorithm on 3 used dataset in
[17]. The results of the comparison is shown in Table 2.
Table 2. Comparison between detection rates of [17] and the proposed algorithm.
(The rates are relevant to 3 used dataset in [17])
Dataset Detection rate by
method in [17]
Detection rate by
proposed algorithm
Book 91.66 % 95.83 %
Monitor 87.5 % 91.66 %
Stapler 83.33 % 91.66 %
Also, some of the other experimental results are shown in Figure 8.
(a)

38
(b)
(c)
Figure 8. Left column: one of the trained images for an object, right column:
the detected object. (a): rack, (b): bottle (c): calendar.
5. CONCLUSIONS
This paper presented an object recognition and detection algorithm. These targets are achieved by
combining ASIFT and a region merging segmentation algorithm based on a similarity measure.
We train different objects seperately in several images with multiple aspects and camera
viewpoints to find the best keypoints for recognizing them in the other images. These keypoints
will be applied to the region merging algorithm. The merging process is started by using
keypoints and presented similarity measure (Euclidean distance). The regions will be merged
based on the merging role and Finaly, the object will be detected well, with its boundary. A final
conclusion is that the more keypoints are obtained, and the more accurate they are, the results will
be better and more acceptable. Currently, we are working to develop an approach for shape
recognition of objects in images. We hope to present a robust algorithm for shape recognition by
using the extracted boundaries of objects based on the proposed algorithm in this paper.

39
REFERENCES
[1] Jean-Michel Morel, Guoshen Yu, (2009) “ASIFT: A New Framework for Fully Affine Invariant
Image Comparison”, SIAM Journal on Imaging Sciences, PP: 438-496.
[2] Guoshen Yu, Jean-Michel Morel, (2009) “A Fully Invariant Image Comparison Method”, IEEE
International Conference on Acoustics, Speech, and Signal Processing (ICASSP), PP: 1597-1600.
[3] David Lowe, (2004) “Distinctive Image Feature Transform from Scale Invariant Keypoints”,
International Journal of Computer Vision, PP: 91-110.
[4] Shivani Agarawal, Aatif Awan, Dan Roth, (2004) “Learning to Detect Objects in Images via a
Sparse, Part-Based Representation”, IEEE Transactions on Pattern Analysis and Machine
Intelligence, PP: 1475-1490.
[5] Constantine Papageorgiou, Tomaso Poggio, (2000) “A Trainable System for Object Detection”.
International Journal of Computer Vision, PP: 15-33.
[6] Dingding Liu, Kari Pulli, Linda G. Shapiro, Yingen Xiong, (2010) “Fast Interactive Image
Segmentation by Discriminative Clustering”, ACM Multimedia Workshop on Mobile Cloud Media
Computing, PP: 47-52.
[7] Bo Peng, Lei Zhang, David Zhang, (2001) “Image Segmentation by Iterated Region Merging with
Localized Graph Cuts”, Pattern Recognition Journal, PP: 2527-2538.
[8] Jifeng Ning, Lei Zhang, David Zhang, Chengke Wu, (2010) “Interactive Image Segmentation by
Maximal Similarity based Region Merging”, Pattern Recognition Journal, PP: 445-456.
[9] David G. Lowe, (1999) ”Object Recognition from Scale Invariant Features”, International conference
of Computer Vision, PP: 1150-1157.
[10] Mathew Brown, David Lowe, (2002) “Invariant Features from Interest Point Groups”, British
Machine Vision Conference, PP: 556-565.
[11] Kristian Mikolajczyk, Cordelia Schmid, (2005) “A Performance Evaluation of Local Descriptor”,
IEEE Transaction on Pattern Analysis and Machine Intelligence, PP: 1615-1630.
[12] Dorin Comaniciu, Peter Meer, (2002) “Mean Shift: A Robust Approach toward Space Analysis”,
IEEE Transactions on Pattern Analysis and Machine Intelligence, PP: 603-619.
[13] EDISON system. (http://coewww.rutgers.edu/riul/research/code/EDISON/index.html).
[14] Jens Kaftan, Andre Bell, Til Aach, (2008) “Mean Shift Segmentation - Evaluation of Optimization
Techniques”, International Conference on Computer Vision Theory and Applications, PP: 365-374.
[15] Qiming Luo, Taghi Khoshgoftaar, (2004) “Efficient Image Segmentation by Mean Shift Clustering
and MDL-Guided Region Merging”, International Conference on Tools with Artificial Intelligence,
PP: 337-343.
[16] Online Dataset. (http://www.iiia.csic.es/~aramisa/datasets/iiia30.html).
[17] Reza Oji, Farshad Tajeripour, (2012) “Full Object Boundary Detection by Applying Scale Invariant
Features in a Region Merging Segmentation Algorithm”, International Journal of Artificial
Intelligence and Applications, PP: 41-50.
Author
Reza oji received the B.Sc. degree in Computer Software Engineering
from Azad University of Shiraz. He received the M.Sc. degree in Artificial
Intelligence from International University of Shiraz. His main research
interests include image processing and machine vision.

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