ROBOTICS Handbook of Computer Vision Algorithms in Image Algebra Part 5 docx
ROBOTICS Handbook of Computer Vision Algorithms in Image Algebra Part 1 ppsx
...
Preface
Acknowledgments
Chapter 1 Image Algebra
1. 1. Introduction
1. 2. Point Sets
1. 3. Value Sets
1. 4. Images
1. 5. Templates
1. 6. Recursive Templates
1. 7. Neighborhoods
1. 8. The p-Product
1. 9. References
Chapter 2 Image ... computer vision algorithms in succinct
algebraic form. For instance, in certain interpolation schemes it becomes necessary to switch from...
ROBOTICS Handbook of Computer Vision Algorithms in Image Algebra Part 2 potx
... second coordinate of
.
Image restrictions in terms of subsets of the value set
is an extremely useful concept in computer vision as
many image processing tasks are restricted to image domains over ... S}
extension
domain
range
generic reduction
“a = a(x
1
)³a(x
2
)³ ··· ³a(x
n
)
image sum
image product
image maximum
image minimum
image complement
pseudo inve...
ROBOTICS Handbook of Computer Vision Algorithms in Image Algebra Part 3 ppsx
... c
(2,1)(2 ,3)
, the two underlined elements of A are combined with the two underlined
elements of B as illustrated:
In particular,
If
In the following list of pertinent recursive image- template products ... advantage of using neighborhoods instead of templates can be seen by considering the simple
example of image smoothing by local averaging. Suppose
, where is an m ì...
ROBOTICS Handbook of Computer Vision Algorithms in Image Algebra Part 4 doc
... Florida CIS Department, Gainesville, 1989.
46 J. Wilson, “An introduction to image algebra Ada,” in Image Algebra and Morphological Image
Processing II, vol. 1568 of Proceedings of SPIE, (San ... transformations in image processing,” Computer Vision,
Graphics, and Image Processing: Image Understanding, vol. 57, pp. 283-306, May 1993.
44 P. Miller, “Development o...
ROBOTICS Handbook of Computer Vision Algorithms in Image Algebra Part 5 docx
... set of points
in A2 whose 8-neighborhoods intersect A. That is, the image b is defined by
(d) The image b is an interior 4-boundary image if B is 4-connected, B 4 A, and B is the set of points
in ... to the point (2y
1
, 2y
2
). In such a case, the domain of the
crack edge image does not cover a rectangular subset of
, all points involving two odd or two even
coordinate...
ROBOTICS Handbook of Computer Vision Algorithms in Image Algebra Part 6 potx
... elements
and the noise levels in the image are low. It could be used for filling in gaps left by an edge
detecting-thresholding-thinning operation.
Difficulties arise in the use of this technique when ... programming. Dynamic programming in this particular
case involves the definition and evaluation of a figure -of- merit (FOM) function that embodies a notion of
“best curvatur...
ROBOTICS Handbook of Computer Vision Algorithms in Image Algebra Part 8 ppt
... B, is the set of all points obtained by adding the points of B to the points in the underlying point
set of the black pixels. An erosion can be obtained by dilating the complement of the black ... transformation that combines two sets by using vector addition of set elements.
In particular, a dilation of the set of black pixels in a binary image by another set (usually c...
ROBOTICS Handbook of Computer Vision Algorithms in Image Algebra Part 9 pdf
... origin. Define N :
X ’ 2
X
is defined by
The image algebra formulation of the opening of the image a by the structuring element B is given by
The image algebra equivalent of the closing of a by ... evaluation of Án will require a total of
O(nlog
2
n) integer operations. The amount of integer arithmetic involved in computing Án is of the same order
of magnitude a...
ROBOTICS Handbook of Computer Vision Algorithms in Image Algebra Part 10 pps
... transform of the original image is shown in Figure 8.7.3, and the column-by-column
Haar transform of the original image is shown in Figure 8.7.4.
Figure 8.7.3 Row-by-row Haar transform of the input image.
Figure ... Column-by-column Haar transform of the input image.
Computing the column-by-column Haar transform of the image in Figure 8.7.3, or computing the row-by-r...
ROBOTICS Handbook of Computer Vision Algorithms in Image Algebra Part 11 ppsx
... to continuous image.
The conversion of â and
to continuous images is accomplished by using bilinear interpolation. An image
algebra formulation of bilinear interpolation can be found in [15]. ... 9.5.4 SPOMF of image and pattern shown in Figure 9.5.3
A straight “line” in the sense of the Hough algorithm is a colinear set of points. Thus, the number of points in
a...
ROBOTICS Handbook of Computer Vision Algorithms in Image Algebra Part 15 pptx
... the
domain of the result.
Examples of Image Code Fragments
One may construct images.
IA _Image <IA_Point<int>, int> il;
// uninitialized image
IA _Image& lt;IA_Point<int>, int> ... classes defined in the iac++ library are instances of the template class IA _Image& lt;P, T>,
comprising the images defined over sets of points of type P having values of...
ROBOTICS Handbook of Computer Vision Algorithms in Image Algebra Part 16 ppsx
... 348
Concatenation of images 19
Connected component algorithms
binary image component labeling 161
counting components by shrinking 166
hole filling 170
pruning 169
sequential labeling 164
Cooley-Tukey ...
Table of Contents
INDEX
A
Additive maximum 27
Additive minimum 27
Averaging of multiple images 51, 347
Averaging, local 348
B
Bidirectional associative memory (BAM) 296
Bi...
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