ROBOTICS Handbook of Computer Vision Algorithms in Image Algebra Part 15 pptx
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 1 ppsx
... computer vision algorithms in succinct
algebraic form. For instance, in certain interpolation schemes it becomes necessary to switch from points with
real-valued coordinates (floating point coordinates) ... these images. Roughly speaking, an image consists of two things, a collection
of points and a set of values associated with these points. Images are therefore endowed wit...
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 ... sup(X) (for finite point set X)
infimum inf(X) (for finite point set X)
choice function choice(X) X (randomly chosen element)
cardinality card(X) = the cardinality of...
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 ... neighborhoods.
Another advantage of using neighborhoods instead of templates can be seen by considering the simple
example of image smoothing by local averaging. Suppose...
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. 156 8 of Proceedings of SPIE, (San ... pixelwise
minimum of the lower resolution image and the original image provides for the smoothed version of the
original image. The smoothened version of the original im...
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 ... as
images. One may want to map each point (y
1
, y
2
) in Y to the point (2y
1
, 2y
2
). In such a case, the domain of the
crack edge image does not cover a rectangular subs...
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...
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