Vol. 11 (2002):
Abstracts of Papers
No. 2/3: Special Issue on
Color Image Processing and its Applications,
- Csonka F., Szirmay-Kalos L., Antal G.:
Generalized multiple importance sampling for Monte-Carlo
MGV vol. 11, no. 1, 2002, pp. 3-20.
The global illumination or transport problems can be considered
as a sequence of integrals, while their Monte-Carlo solutions -
as different sampling techniques. Multiple importance sampling
takes advantage of different sampling strategies, and combines
the results obtained with them to establish a quasi-optimal sampling
for Monte-Carlo quadratures. This offers a combination of totally
different global illumination algorithms which preserves their strengths.
However, implementation of this general concept poses two problems.
The solution of the global illumination problem does not contain
a single integral, but a sequence of integrals that are approximated
simultaneously. One objective of this paper is to generalize
the fundamental theory of multiple importance sampling to sequences
of integrals. The cost of the computation and the contribution
of a single integral to the final result vary. On the other hand,
different methods compute a sample with different computational burdens,
which should also be taken into account. This paper attacks this problem
and introduces the concept of computational cost in multiple importance sampling. The theoretical results are used to combine bi-directional
path tracing and ray-bundle based stochastic iteration. We conclude
that the combined method preserves the high initial speed of stochastic
iteration, but can also accurately compute the specular light paths
through bi-directional path tracing.
Key words: multiple importance sampling,
stochastic iteration, random walk.
- Putz B.:
The principles of using the equigradient and reflection
lines as the tools of surface continuity diagnosis.
MGV vol. 11, no. 1, 2002, pp. 21-36.
The paper presents new theorems about characteristic curves
on the surface used as a shape smoothness diagnosis tool.
First, general principles of examination of characteristic curves,
treated as contour lines of a shape function, are presented.
Two subsequent sections deal with properties of two most popular
characteristic curves: equigradient lines and reflection lines.
The theorems presented there are a theoretical background
for evaluation of the surface continuity via of examination
of these type of lines.
Key words: shape evaluation, surface continuity,
characteristic curves, equigradient lines, reflection lines,
geometric data quality, CAD/CAM system.
- Sugier J.:
Triangulation of NURBS surfaces through adaptive
MGV vol. 11, no. 1, 2002, pp. 37-52.
This paper discusses adaptive approach to the problem of automatic
triangulation of NURBS surfaces. The algorithm presented here generates
triangulation through the so-called adaptive refinement - a process
carried out entirely in a parametric space with a variable triangle
size adjusted to the local curvature of the surface, so that the imposed
approximation error is not exceeded. The mesh is generated
as an adaptive one right from the start, and no further decimation
is required. Sample triangulations generated by the algorithm
as well as a discussion of its computational complexity are included.
Running times of the computer implementation confirm that an average
computational cost of the algorithm is ~O(N),
with N denoting the total number of triangles
in the final mesh.
Key words: tesselation of surface, NURBS,
- Zhang Y., Prakash E.C., Sung E.:
Anatomy-based 3D facial modeling for expression animation.
MGV vol. 11, no. 1, 2002, pp. 53-76.
In this paper we propose a new hierarchical 3D facial model
that conforms to the human facial anatomy for realistic facial
expression animation. The facial model has a hierarchical
biomechanical structure, incorporating a physically-based
approximation to facial skin tissue, a set ofanatomically
motivated facial muscle actuators and underlying
skull structure. The deformable skin model has multi-layer
structure to approximate different types of soft tissue. It takes
into account the nonlinear stress-strain relationship of the skin
and the fact that soft tissue is almost incompressible. Different
kinds of muscle models have been developed to simulate the
distribution of the muscle force on the skin due to muscle
contraction. By the presence of the skull model, our facial model
takes advantage of both more accurate facial deformation and the
consideration of facial anatomy during the interactive definition
of facial muscles. Under the muscular force, the deformation of
the facial skin is evaluated by solving the governing dynamic
equation numerically. To improve computational efficiency, we use
a localized, semi-implicit integration method which allows a larger
time step to be taken in the simulation while retaining
stability. The dynamic facial animation algorithm runs at an
interactive rate with flexible and realistic facial expressions
to be generated.
Key words: facial animation, anatomy-based facial model,
hierarchical structure, mass-spring-damper system,
semi-implicit integration method.
- Strzelecki M.:
Segmentation of MRI trabecular-bone images using network
of synchronised oscillators.
MGV vol. 11, no. 1, 2002, pp. 77-99.
Segmentation of textured images, a very important aspect of visual
perception, remains still a challenging task for many image analysis
problems. This paper presents a recently emerged segmentation method
based on the temporary correlation theory. It proposes an explanation
of visual scene analysis performed by human brain. Based on this
theory, a network of locally connected synchronised oscillators
is proposed for the image segmentation task. This oscillator network
can be realised as a VLSI chip, providing very fast image segmentation.
For texture description, the Gaussian Markov Random Field model widely
used in many texture analysis tasks, is applied. The proposed method
is applied to segment MRI images of human foot cross-section
in order to detect bone structure. This analysis could be useful
in osteoporosis diagnosis, allowing further evaluation of bone
microarchitecture. The efficiency of the GMRF approach in bone texture
modelling is demonstrated. The oscillator network method is compared
with an ANN-based classifier. The segmentation results using
both methods are presented and discussed.
Key words: image segmentation, oscillator network,
- Nieniewski M., Serneels R.:
Segmentation of spinal cord images by means of watershed
and region merging together with inhomogeneity correction.
MGV vol. 11, no. 1, 2002, pp. 101-122.
The paper presents a morphological method for segmentation
of high field Magnetic Resonance (MR) images of the human spinal cord
and extraction of the gray matter mask. These images are of low quality
and poor contrast. The inhomogeneity of brightness in the image
is usually more pronounced than the difference in brightness between
the gray matter and the white matter. Due to this inhomogeneity,
it is very hard to use watershed segmentation for automatic extraction
of the gray matter, and what remains is manual pointing out of a hundred
or more regions belonging to the gray matter. However, as shown
in the paper, by using the White Top Hat (WTH) transform with a large
structuring element, one can correct the images, significantly reducing
the inhomogeneity and appropriately modifying individual region statistics.
In particular, watershed segmentation is carried out on the original image,
whereas region statistics used for region merging are calculated
from the corrected image. Then the extraction of the gray matter mask
is carried out in a semi-automatic way, with the user pointing out
the first region belonging to the gray matter area, and the program
selecting subsequent neighboring regions based on the statistics
of the regions. The method was tested on images coming from different
cross-sections of the spinal cord, and the results indicate that
the process of extracting the gray matter mask has been significantly
speeded up and improved.
Key words: spinal cord, extraction of gray matter,
correction of MR images, watershed, region merging.
- Leski J., Henzel N.:
Minimum hypervolume clustering algorithm.
MGV vol. 11, no. 1, 2002, pp. 123-132.
The Hard C-Means (HCM) clustering method is one of the most
popular clustering methods based on minimization of a criterion function.
However, one of the greatest disadvantage of this method is that
the performance of the HCM is good only when the data set contains
clusters that have approximately the same size and shape.
The paper is devoted to a new clustering algorithm, called minimum
hypervolume clustering (MHC), that seeks C-hyperellipsoids
with the smallest hypervolumes that enclose all the data points.
Performances of the new clustering algorithm are experimentally
verified using synthetic and real life data containing
clusters with different sizes and orientations.
C-means clustering, HCM, isodata algorithm.
Special Issue on Color Image Processing and its Applications.
Special Issue Editor: Henryk Palus.
- Palus H.:
Guest Editorial: Latest Results in Color
Image Processing and its Applications.
MGV vol. 11, no. 2/3, 2002, pp. 135-137.
- Chernov V. M.:
Some FFT-like algorithms for RGB-spectra calculation.
MGV vol. 11, no. 2/3, 2002, pp. 139-151.
The paper deals with some new algorithms for "overlapped" calculation
of 1D and 2D DFT spectra of a multi-channel signal.
The algorithms' computational complexity is decreased via
a fast calculation of an auxiliary transform that takes values
in special algebraic structures: the group algebra of a quaternion
units group and the algebra associated with integral Hurwitz quaternions.
Key words: FFT, overlapped algorithms, color images.
- Rizzi A., Marini D., De Carli L.:
LUT and multilevel brownian retinex colour correction.
MGV vol. 11, no. 2/3, 2002, pp. 153-168.
Retinex, a model of human color vision suitable for unsupervised
chromatic equalization, due to Land and McCann, is receiving
a renewed interest after several years. Different versions have been
developed so far, and it has been used for various applications.
Most of the implementations skip the classical random paths approach
because of the high frequency chromatic noise it introduces.
To solve the noise problem, avoiding the increase of paths number
and without substituting the random paths approach, we present
in this paper two new retinex versions: one based on a look-up table
transformation, and another based on multilevel image decomposition.
These versions strongly decrease the dependency of the computed pixel
value on the path randomness, eliminating in this way a great part
of the chromatic noise.
Key words: Retinex, cromatic equalization, color constancy.
- Cucchiara R., Grana C., Seidenari S., Pellacani G.:
Exploiting color and topological features for region
segmentation with recursive fuzzy c-means.
MGV vol. 11, no. 2/3, 2002, pp. 169-182.
In this paper we define a novel approach to image segmentation
into regions which focuses on both visual and topological cues,
namely color similarity, inclusion
and spatial adjacency. Many color clustering algorithms
have been proposed in the past for skin lesion images but none
exploits explicitly the inclusion properties between regions.
Our algorithm is based on a recursive version of fuzzy c-means (FCM)
clustering algorithm in the 2D color histogram constructed
by Principal Component Analysis (PCA) of the color space.
The distinctive feature of the proposal is that recursion is guided
by evaluation of adjacency and mutual inclusion properties
of extracted regions; then, the recursive analysis addresses only
included regions or regions with a not-negligible size.
This approach allows a coarse-to-fine segmentation which focuses
attention on the inner parts of the images, in order to highlight
the internal structure of the object depicted in the image.
This could be particularly useful in many applications, especially
in biomedical image analysis. In this work we apply the technique
to segmentation of skin lesions in dermatoscopic images. It could be
a suitable support for diagnosis of skin melanoma, since dermatologists
are interested in analysis of spatial relations, symmetrical positions
and inclusion of regions.
Key words: PCA, fuzzy C-means, clustering,
color segmentation, topological features, dermatoscopic images.
- Bing C., Nanning Z., Ying W., Yongping Z., Zhihua Z.:
Color image segmentation based on edge-preservation
smoothing and soft C-means clustering.
MGV vol. 11, no. 2/3, 2002, pp. 183-194.
A new approach to color image segmentation is demonstrated here.
The color image, which is usually in the RGB space, is translated
into the CIE(Lab) color space. The three components are smoothed using
a variation-based approach. By minimizing an energy functional
with a non-convex regular function, we can get a smoothed image.
During the iteration, the edges of the image are preserved.
A soft C-means clustering algorithm, which is an improvement
on the hard C-means algorithm, is employed to segment them
after smoothing. This algorithm overcomes the problem of dependence
on the initializations. Finally, an experiment is given to show
the effectiveness and robustness of the method.
Key words: color image, image segmentation,
edge-preservation smoothing, soft C-means clustering.
- Palm C., Lehmann T. M.:
Classification of color textures by gabor filtering.
MGV vol. 11, no. 2/3, 2002, pp. 195-219.
A novel approach to Gabor filtering of color textures is introduced.
It is based on the complex chromatic Fourier transform. Complex colors
are derived from the HSL color space representing intensity-independent
color textures. Additionally, a novel Gabor texture feature
for the grayscale as well as the color domain is proposed.
It relies on local phase changes characterizing the homogeneity
of a texture in the spatial frequency domain. Several classification
experiments on two image databases are performed to study
the texture features according to different color spaces
and Gabor filter bank variants. The color features show significantly
better results than the grayscale features. Although they are completely
intensity-independent, the features on the basis of the complex color
space show satisfying results. The RGB based features, where color
and intensity work inherently together, perform best.
Especially the local phase change measure supplements
the known amplitude measure appropriately.
Key words: Gabor filter, color texture, classification,
color Fourier transform.
- Tominaga S.:
Object recognition using a multi-spectral imaging system.
MGV vol. 11, no. 2/3, 2002, pp. 221-240.
A spectral-imaging system and algorithms for identifying objects
in a natural scene based on surface-spectral reflectances are described.
The imaging system is composed of a liquid-crystal tunable filter,
a monochrome CCD camera, and a personal computer. The tunable filter
is convenient for spectral imaging because the wavelength band
can be changed easily and electronically. It is described how we can
recover the surface-spectral reflectances of natural objects by using
the multi-spectral imaging system. Algorithms are presented
for estimating both spectral functions of the illuminant spectral-power
distribution and surface-spectral reflectance from the spectral image
data. Moreover, effective image processing procedures are proposed
for highlight extraction and region segmentation. The segmentation
is based on a pixel classification method using only the maximum
sensor outputs. The overall performance of the proposed imaging
system and algorithms is examined in an experiment using natural products,
in which 21 spectral images are acquired in the wavelength
range of 450-650 nm.
Key words: multi-spectral imaging, object recognition,
surface-spectral reflectance, spectral-imaging system,
image segmentation, color.
- Ho K. I-J., Chen T.-S., Cheng C-Y.:
An efficient face detection method using skin-color
discovering and chain code.
MGV vol. 11, no. 2/3, 2002, pp. 241-256.
In this paper, we propose a method to locate human faces in color images.
For color images, the skin color is an important key feature for human
face detection. Thus, this paper applies skin color information
to segmented human face areas. First, we reduce the size of the color
image, hold its ratio, and detect skin color pixels in the resized
image based on the properties of skin color. Next, our method employs
the detected pixels and chain code to locate continuous areas.
Finally, we check the width and the height of each located area,
and filter out the non-facial ones. The remaining areas are
the human face regions. To fully explore the efficiency and effectiveness
of the proposed method, we conduct a lot of experiments on the test
images used in other papers. The experimental results show that both
the false positive and false negative rates are either equal to
or better than those obtained in previous research results.
Moreover, in most of experiments, the processing time of our method
Key words: face detection, face segmentation,
skin color, chain code.
- Muselet D., Macaire L., Postaire J.-G.:
A new approach to color person image indexing
MGV vol. 11, no. 2/3, 2002, pp. 257-283.
In the context of image indexing for the purpose of retrieval,
colored object recognition methods tend to fail when the illumination
of the objects varies from an image to another. A new approach
to indexing images of persons is proposed, which copes with
the variations of the lighting conditions. We assume that illumination
changes can be described using a simple linear transform.
For comparing two images, we transform the colors of the target
one according to the colors of the query one by means of an original
color histogram specification based on color invariant evaluation.
For the retrieval purpose, we evaluate invariant color signatures
of the query image and the transformed target image through
the use of color co-occurrence matrices. Tests on real images are very
encouraging, with substantially better results than those obtained
with other well-established indexing and retrieval schemes.
Key words: color, illumination, invariant features,
indexing, retrieval, highlights, shadows, color co-occurrence matrices.
- Sung-Hyuk Cha:
A fast hue-based colour image indexing algorithm.
MGV vol. 11, no. 2/3, 2002, pp. 285-295.
In content-based image indexing and retrieval (IIR), hue component
histograms of images are widely used for indexing the images
in an image database. The aim is to retrieve all colour images whose
distances to the query image in terms of hue distributions
do not exceed some threshold value. Edit distance has been successfully
used as a similarity measure.
Our earlier O(b2) algorithm
computing the edit distance between two angular histograms,
where b is the number of bins in the hue histogram,
tends to be too slow for users to wait for the outputs when applied
to every image in the database. For this reason, we design two filtration
functions that quickly eliminate most colour images from consideration
as possible outputs, and exact edit distances are only computed
for the remaining images. We are still guaranteed to find all similar
hue distributions, and the filtration technique gives significant
Key words: colour image, filtration, hue,
image indexing and retrieval, similarity measure.
- Skarbek W., Kukielka G.:
Optimal intervals for fuzzy categories of color temperature
with application to image browsing.
MGV vol. 11, no. 2/3, 2002, pp. 297-310.
This paper presents the results of experiments for a color temperature
browsing descriptor. We consider the problem of the optimal conversion
of an objective value (color temperature) into a subjective category
(Hot, Warm, Neutral, and Cold).
The situation where subjective categories are based on an objective
object attribute appears to be common while comparing interpretation
of human sensors with physical sensors. The proposed optimal procedure
for segmenting the color temperature partition into four disjoint
intervals and the experimental results are described.
Key words: color temperature, optimal intervals, MPEG-7.
- Lukac R.:
Optimised directional distance filter.
MGV vol. 11, no. 2/3, 2002, pp. 311-326.
In this paper, a new adaptive directional distance filter especially
for the impulse noise suppression in color images is provided.
The proposed method takes advantage from the optimal filtering
situation when only the affected samples are estimated, whereas
noisy image points are passed to a filter output without change.
For that reason, the proposed method is based on switching between
the identity filter (no smoothing) and the directional distance filter
that provides a maximum amount of the smoothing. In order to achieve
the most precise control of the proposed method, three center-weighted
directional distance filters are utilised to determine a parameter
compared with a threshold value. This simple comparison serves
as a switching control. After the optimisation of the threshold,
it will be shown that the proposed method achieves a significant
improvement of the filter performance in comparison with standard
vector filter classes for a wide range of impulse noise corruption.
Key words: color images, vector order-statistics,
distance function, weight vector, adaptive filter.
- Smolka B.:
Adaptive modification of the vector median filter.
MGV vol. 11, no. 2/3, 2002, pp. 327-350.
In this paper we address the problem of impulsive noise reduction
in color images. A new, simple but efficient, filter for noise attenuation
is introduced, and its relationship with commonly used techniques
is investigated. The computational complexity of the new filter
is shown to be lower than that of the Vector Median Filter (VMF).
The experiments indicate that the new filter outperforms the VMF,
as well as other basic procedures used in color image processing
for elimination of impulsive noise.
Key words: image processing, noise filtering,
restoration, image quality.
- Baranyai L., Szepes A.:
Analysis of fruit and vegetable surface color.
MGV vol. 11, no. 2/3, 2002, pp. 351-361.
Changes of color on the surfaces of tomatoes, mushrooms and apples
were measured with digital image processing techniques.
Texture analysis methods were applied to identify the stage
of ripeness and defects, such as mechanical injuries
and microbiological infection. Distributions of red, green, and blue
color components and intensity values were shown by histograms.
Differences in intensities - in the directions of
0o, 45o, 90o, and 135o -
were also collected. First-order statistical parameters and coordinates
of polar quality points for sum and difference histograms
were calculated and evaluated. Classification powers of different
color signals were compared.
Key words: surface texture, sum and difference histograms,
Polar Qualification System (PQS).
- Chambah M., Besserer B., Courtellemont P.:
Latest results in digital color film restoration.
MGV vol. 11, no. 2/3, 2002, pp. 363-395.
Motion picture is not only a theatrical art but also a vivid record
of past life. Unfortunately, almost all color films made since the 1950s
are subject to fading that can be arrested only by storing prints
at very low temperatures. Photochemical restoration of faded
motion prints is impossible. Nowadays, the improvement of computer
power allows us to expect digital restoration of motion pictures at
acceptable rates. In this paper we present two original techniques
for restoring faded color image sequences: an assisted
and an automatic one. The first method consists in choosing
a "reference image" from the sequence, after removing side
absorptions introduced by the scanning process, adjusting its colors
and contrast, then propagating the correction performed to the whole
image sequence. The second method consists in reviving the colors
of the image (color enhancement), then balancing them.
Key words: digital film restoration, color fading,
color correction, color mapping, selection of points of interest,
automatic color balance, color constancy, saturation enhancement.
- Baldassarri S., Gutierrez D., Seron F.:
Modelling objects with changing shapes: a survey.
MGV vol. 11, no. 4, 2002, pp. 399-430.
The great number of object modelling computer techniques that already
exist and the new ones that are continuously appearing are the result
of a multidisciplinary exchange of ideas. Within this area, objects
with changing shapes are inherently more difficult to model than rigid
objects. Our main goal has been to provide a classification
of the algorithms involved in the modelling of objects that can be
as diverse as water, clothes, faces, ... The classification has been
made from the starting point of inorganic and organic categories.
Inorganic objects are classified according to their material state
while the organic ones are classified according to the realm they belong to.
Within each category, works are generally presented in chronological order,
providing an extensive bibliography.
Key words: object modelling, changing shapes,
hair and fur, cloth, viscous matter, water, gases and smoke, clouds, fire,
plants, plants-surrounding relation, bodies, internal organs, faces.
- Kiciak P.:
Computing intersections of rational patches.
MGV vol. 11, no. 4, 2002, pp. 431-454.
A procedure of finding the intersection of rational
patches is developed. It consists of adaptive division of
the patches, convex hull test to reject pairs of disjoint pieces,
normal vectors test that verifies some condition ensuring a simple
enough shape of the pieces, computing end points of common arcs
(described in a separate paper) and computing other points using
the Newton method with pseudo-inversion. Some issues concerning
the reliability of this procedure are discussed.
Rational Bézier patches, intersections of surfaces.
- Kiciak P.:
Solving systems of algebraic equations.
MGV vol. 11, no. 4, 2002, pp. 455-473.
Numerical procedures of solving a system for algebraic equations
usually consist of a part that localizes the solutions and a part
that computes their accurate approximations. The localization is often
based on the convex hull property of the Bernstein-Bézier
representation of the equations.
In the procedure described in this paper, the convex hull test
is complemented with another test, which significantly improves
the efficiency of the procedure.
Key words: Bernstein polynomials,
rational Bézier curves and patches, free-form deformation,
de Casteljau algorithm, convex hull property.
- Wu X., Li D.:
Triangle mesh compression and simplification.
MGV vol. 11, no. 4, 2002, pp. 475-488.
Triangular meshes are widely used in computer graphics fields, such as GIS,
CAD and VR. Very complex models, with hundreds of thousands of faces,
are easily produced by current CAD tools, automatic acquisition devices,
or by fitting isosurfaces out of volume datasets. Many geometric datasets
require a large amount of disk space. One of the solutions is to compress
those large geometric data sets with geometric compression algorithms.
On the other hand, a highly complex data representation is not always
necessary. For example, a full size model is not required for generation
of each frame of an interactive visualization. This has led to substantial
research on the surface mesh simplification. Unfortunately, however,
nearly all the methods only deal with one aspect above, either mesh
compression or mesh simplification. We present a method to deal
with both issues. It breaks down the triangle meshes into a set
of triangle strips and vertex chains. Following that, inter-triangle-strip
simplification and intra-triangle-strip simplification are used to simplify
the meshes. The method can not only compress the mesh geometry datasets
for hard disk storage, but also simplify the meshes for the purposes
of rendering and displaying. The results show the validity and efficiency
of our method.
Key words: triangular meshes, mesh compression,
mesh simplification, triangle strip.
- Ye J.:
Simplification of 3D head mesh acquired from laser
MGV vol. 11, no. 4, 2002, pp. 489-498.
Complex triangle meshes arise extensively in computer graphics.
Such meshes greatly exceed the processing power of modern computer
hardware and need to be simplified. The purpose of this paper
is to simplify a 3D color human head mesh acquired from
a 3D laser scanner. It is more important to keep the boundaries
and quality of the sense organs which are the region of interest,
while it is reasonable to simplify other features of the head
aggressively, such as hair, face and neck. Based on these
heuristics, we present a novel vertex merging mesh simplification
algorithm based on region segmentation. The algorithm can be
divided into two stages: segmentation and simplification.
First, the 3D color head mesh is segmented into different head
parts with respect to both geometry and attributes, then vertices
are classified into region-inner vertices and region-boundary vertices.
Second, iterative vertex merging is applied using region-weighted error
metric in order to implement controllable simplifications. Results
of several experiments are shown, demonstrating the potential of
our method for a 3D color head mesh. Also, our method is resistant
to noise in practical applications.
Key words: mesh simplification, level of detail,
3D color head mesh, laser scanner.
- El-Bakry H. M.:
Human iris detection using fast cooperative modular neural
nets and image decomposition.
MGV vol. 11, no. 4, 2002, pp. 499-512.
In this paper, a combination of fast and cooperative modular neural
nets to enhance the performance of the detection process is introduced.
I have applied such approach successfully to detect human faces
in cluttered scenes. Here, this technique is used to identify human
irises automatically in a given image. Neural nets are used to test
whether a window of 20x20 pixels contains an iris or not. The major
difficulty in the learning process comes from the large database
required for iris/non-iris images. A simple design for cooperative
modular neural nets is presented to solve this problem by dividing
these data into three groups. Such division results in reduction
of computational complexity and thus decreasing the time and memory
needed during the test of an image. Simulation results for the proposed
algorithm show a good performance. Moreover, a powerful system
for personal identification using iris detection is presented.
Furthermore, faster iris detection is obtained through image
decomposition into many sub-images and applying cross correlation
in the frequency domain between each sub-image and the weights
of the hidden layer.
Key words: personal identification, fast iris dection,
modular neural nets.
- Murawski K.:
Segmentation method of digital images based
on the evolutionary strategy.
MGV vol. 11, no. 4, 2002, p. 513.
- Reviewers' index
- Authors' index
- Contents of volume 11, 2002
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Last updated Jul 8, 2003