Van De Sande, Koen EA, Theo Gevers, and Cees GM Snoek. "Evaluating color descriptors for object and scene recognition." Pattern Analysis and Machine Intelligence, IEEE Transactions on 32.9 (2010): 1582-1596.
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Evaluating color descriptors for object and scene recognition
1. Evaluation of Color Descriptors for
Object and Scene Recognition
Koen E.A. van de Sande, Student Member, IE
EE, Theo Gevers, Member, IEEE, and
Cees G.M. Snoek, Member, IEEE
IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELL
IGENCE, VOL. 32, NO. 9, SEPTEMBER 2010
2. Introduction
To increase illumination invariance and discriminative
power
Color features/descriptors on object and scene reco
gnition
The usefulness of invariance is category-specific
Recommendations on which color descriptors to use
under data sets
3. Reflectance Model
An image f can be modeled under the assum
ption of Lambertian reflectance as follows:
Shafer proposes adding a diffuse term:
Light source Surface reflectance
Camera sensitivity
4. Reflectance Model
The spatial derivative of f at location x on sca
le :
invariance to diffuse light!
5. Diagonal Model
Changes in the illumination can be modeled
by a diagonal mapping or von Kries Model as
follows:
𝑓 𝑐
= 𝐷 𝑢,𝑐
𝑓 𝑢
Diagonal-offset model:
𝑎 0 0
0 𝑏 0
0 0 𝑐
𝑅
𝐺
𝐵
+
𝑜1
𝑜2
𝑜3
unknown light source
Same image transformed
6. Photometric transforms
Light intensity changes
Light intensity shifts
B
G
R
a
a
a
00
00
00
3
2
1
o
o
o
B
G
R
Scale-invariant with respect to
light intensity
Shift-invariant with respect to
light intensity
7. Photometric transforms
Light intensity scale and shift invariant
Light color change
Light color change and shift
3
2
1
00
00
00
o
o
o
B
G
R
a
a
a
B
G
R
c
b
a
00
00
00
3
2
1
00
00
00
o
o
o
B
G
R
c
b
a
8. Color Descriptors
Histograms don’t contain local spatial informati
on.
RGB, Hue, Saturation, rgHistogram, …
Color Moments contain local photometrical and
spatial information.
SIFT contain local spatial information.
Color SIFT combined color and SIFT
HSV-SIFT, Hue-SIFT, …
dxdyyxIyxIyxIyxM c
B
b
G
a
R
qpabc
pq )],([)],([)],([
9. Color Histograms
RGB-histogram
Hue-histogram
H and S are scale-invariant and
shift-invariant w.r.t light intensity
rg-histogram
The normalized RGB color model
r,g Scale-invariant (b is redundan
t)
Not shift-invariant
BGR
B
BGR
G
BGR
R
b
g
r
10. Color Histograms
Transformed color
Normalized the pixel value distri
butions
Scale and shift-invariant w.r.t lig
ht intensity.
Opponent color histogram
O1,O2 shift invariant
O3: intensity, no invariant
B
B
G
G
R
R
B
G
R
B
G
R
3
6
2
2
3
2
1
BGR
BGR
GR
O
O
O
11. Color SIFT Descriptors
HSV-SIFT
H color model is scale-invariant and shift-variant
Complete descriptor have no invariance properties
due to the combination of the HSV channels
Hue-SIFT
Concatenation of the hue histogram with SIFT
Scale-invariant & shift-invariant
12. Color SIFT Descriptors
OpponentSIFT
SIFT over all channels in the opponent color space.
Scale & shift Invariant to light intensity
C-SIFT
Eliminate O1 and O2’s intensity information
Scale-invariant to light intensity
rg-SIFT
SIFT over r,g spaces
Scale and shift invariant to light intensity
3
2
3
1
2
1
O
O
O
O
O
O
13. Color SIFT Descriptors
RGB-SIFT(Transformed color SIFT)
SIFT over every RGB channel (normalized transf
ormed channels)
Scale- and shift-invariant to light color changes a
nd shift.
14. Experiments
Scale-invariants points by Harris-Laplace point detectors
Color descriptors are computed over the area around the points
By applying K-means clustering to descriptors, visual dictionary
is constructed
SVM classifier with EMD/chi-square kernel
19. 19
RESULTS : Experiment1
The SIFT and color SIFT descriptors perform
much better than histogram-based descripto
rs
The descriptors with the best overall perfor
mance are C-SIFT, rgSIFT, OpponentSIFT, an
d RGB-SIFT.
22. RESUTLS : Expreiment2
Most objs were categorized better under sca
le- and shift- invariant to light intensity
C-SIFT, rgSIFT performed better than other o
nes
The additional invariance makes the descript
or less discriminative for these object catego
ries because a reduction in performance is o
bserved.
24. RESUTLS : Expreiment3
SIFT and color SIFT variants perform significa
ntly better than the other descriptors.
OpponentSIFT perform better than C-SIFT an
d rgSIFT for these categories that occur und
er a wide range of light intensities.
25. Conclusion
A color descriptor with an appropriate level of invariance shou
ld be selected
Without prior knowledge, OpponentSIFt is the best in general
Light intensity info. Is important for some categories
Usefulness of invariance is category-specific.
Editor's Notes
E(λ) : the color of the light source.ρk(λ) : the camera sensitivity function (k →{R,G,B}).
S(x, λ):the surface reflectance
W:the visible spectrum
x :the and the spatial coordinates
A(λ):the term that models the diffuse light.
F u:the image taken under an unknown light source.
F c:the same image transformed, so it appears as if it was taken under the reference light (called canonical illuminant).
D:a diagonal matrix which maps colors that are taken under an unknown light source u to their corresponding colors under the canonical illuminant c
1. change by a constant factor in all channels (i.e., a=b=c), equal to a light intensity change (light intensity changes also include (no-colored) shadows and shading.)
2. due to diffuse lighting, including scattering of a white light source, object highlights (specular component of the surface) under a white light source, interreflections, and infrared sensitivity of the camera sensor.