... 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...
... 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...
... 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...
... 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...
... 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...
... 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 image can again be partitioned ... 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...
... 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...
... processing,” Computer
Graphics and Image Processing, vol. 4, no. 2, pp. 104 -119, 1975.
22 A. Kaced, “The K-forms: A new technique and its applications in digital image processing,” in
IEEE Proceedings ... 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...