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On approximating Euclidean metrics by digital distances in 2D and 3D
2000
Pattern Recognition Letters
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First we show that the vertices of the digital circles (spheres) for octagonal distances can be suitably approximated as a function of the number of neighborhood types used in the sequence. ...
octagonal distances. ...
Acknowledgements The comments of the anonymous reviewers for improving the paper in its ®nal form are gratefully acknowledged. ...
doi:10.1016/s0167-8655(00)00022-2
fatcat:otcdlou4xbflrpapiz3qfsi3ji
Best simple octagonal distances in digital geometry
1992
Journal of Approximation Theory
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distances in 2-D digital geometry. ...
A subclass of general octagonal distances defined by neighbourhood sequences [2] have been characterized here which have a strikingly simple closed functional form. These are called simple distances. ...
The octagonal distance for digital pictures was introduced in digital geometry by Pfaltz and Rosenfeld in [4] when they proved that an alternating use of cityblock and chessboard motions defines a new ...
doi:10.1016/0021-9045(92)90090-b
fatcat:ca6hy6vmmndcbcby5dh5kz55be
Distance transformations in arbitrary dimensions
1984
Computer Vision Graphics and Image Processing
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In many applications of digital picture processing, distances from certain feature elements to the nonfeature elements must be computed. ...
The comparison with Euclidean distance is given as upper limits for the difference between the Euclidean distance and the computed distances. ...
INTRODUCTION In many applications of digital picture processing it is essential to measure the distance between elements. ...
doi:10.1016/0734-189x(84)90035-5
fatcat:g5cswcggcfcillbtkxm73vs75y
Euclidean distance mapping
1980
Computer Graphics and Image Processing
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The map indicates, for each pixel in the objects (or the background) of the originally binary picture, the shortest distance to the nearest pixel in the background (or the objects). ...
Based on a two-component descriptor, a distance label for each point, it is shown that Euclidean distance maps can be generated by effective sequential algorithms. ...
SEQUENTIAL OCTAGONAL MAPPING As was mentioned in the introduction, octagonal distances and octagonal propagation are almost standard procedures in picture processing. ...
doi:10.1016/0146-664x(80)90054-4
fatcat:pw7pdyi5xfendcwyru7jndltmm
Page 1072 of Mathematical Reviews Vol. , Issue 91B
[page]
1991
Mathematical Reviews
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N. (6-IITKH-EL)
Octagonal distances for digital pictures.
Inform. Sci. 50 (1990), no. 2, 123-150. ...
Summary: “The set of distances obtained by combining the city-
68 COMPUTER SCIENCE
1072
block and the chessboard motions is studied as a generalization of the octagonal distance for digital pictures. ...
DIGITAL PHOTOGRAMMETRY FOR THE GEOMETRICAL ANALYSIS OF THE UMBRELLA-SHAPED DOME IN BAIA (NAPLES)
2018
The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences
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This paper is focused on the use of photogrammetric measurement techniques for the valorization of architectural and archaeological heritage. ...
Currently half part of the octagonal room annexed to the Temple of Mercury in Baia is underwater. Moreover the level of water may grow due to the characteristic movement of the soil in this area. ...
The results obtained with the difficult conditions of the data collection in the octagonal room are an example of the great versatility of the digital photogrammetry with structure for motion method. ...
doi:10.5194/isprs-archives-xlii-2-23-2018
fatcat:ooiouwjgwrhzbhayqt4gtdsapy
High-Capacity Embedding Method Based on Double-Layer Octagon-Shaped Shell Matrix
2021
Symmetry
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This paper proposes a data hiding scheme based on a double-layer octagon-shaped shell matrix. ...
Compared to previous octagon-shaped data hiding methods, the proposed method embeds a total of 7 bits in each pixel pair, reaching an embedding capacity of 3.5 bits per pixel (bpp). ...
For each sub-stream , convert the first 2 bits into a 4-ary digit and the last 5 bits into a 32-ary digit , viz., || where "||" denotes the string concatenation operator. ...
doi:10.3390/sym13040583
fatcat:jgyit663ozd4no3iephuvre33i
Understanding Digital Cardwall Usage
2015
2015 Agile Conference
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We identify issues to address in the design of digital Cardwalls. ...
We conducted field studies of 8 Agile teams using digital Cardwalls, and performed qualitative data analysis to understand patterns of usages and user needs. ...
We also thank the Natural Sciences and Engineering Research Council of Canada for funding through the SurfNet Strategic Research Network. ...
doi:10.1109/agile.2015.16
dblp:conf/agiledc/GossageBB15
fatcat:abcg2qznt5d6zozdyjekqo554m
Neuropsychological Functioning in Unilateral Cerebellar Damage
1994
Canadian Journal of Neurological Sciences
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Ottawa-Wechsler
January 1991 May 1993 Norms
Global IQ*
Verbal IQ*
Performance IQ*
Information
Comprehension
Digit span
Arithmetic
Similarities
Picture arrangement
Picture completion
Block ...
The second assessment shows a significant improvement of performance IQ (115), particularly the picture arrangement (logical judgment of sequences in familiar situations) and digit symbol subtests. ...
doi:10.1017/s0317167100040956
fatcat:7sbongs5pfeexfooojsycawlvu
New algebraic and geometric constructs arising from Fibonacci numbers
2020
Soft Computing - A Fusion of Foundations, Methodologies and Applications
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Such octagons, in some previous articles, have been given the name of Carboncettus octagons for historical reasons. ...
Fibonacci numbers are the basis of a new geometric construction that leads to the definition of a family {C n : n ∈ N} of octagons that come very close to the regular octagon. ...
6 as follows: Note that for W 8 we have written 30 more digits (177) than for the previous words: The reason for this will be clear later. ...
doi:10.1007/s00500-020-05256-1
fatcat:bnfkz7gkpfafvd6fsvbojpeq5q
Classification of Geometric Forms in Mosaics Using Deep Neural Network
2021
Journal of Imaging
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the dataset for testing the CNN-based approach. ...
As a case study, a Roman mosaic is considered, which is digitally reconstructed by close-range photogrammetry based on standard photos. ...
In [53] , Falomir et al. presented a mathematical method for calculating a likeness score among qualitative assessments of item structure, color and dimension in digitized pictures. ...
doi:10.3390/jimaging7080149
pmid:34460785
fatcat:3g2q6r4xuve2vhbgtzhoqyqwpu
VIRTUAL AND PHYSICAL RECOMPOSITION OF FRAGMENTED ECCLESIASTICAL FRESCOES USING A PHOTOGRAMMETRIC APPROACH
2016
The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences
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Two of these are exceptional for their artistic and historic value: the story of the Tree of Jesse (a pictorial genealogy of the Virgin) located on the southern wall of the octagon, and the Last Judgment ...
These were digitally documented through high-resolution ortophotos. ...
ACKNOWLEDGEMENTS The authors would like to thank Marina Faka and Panayotis Kyriacou of STARC of the Cyprus Institute for the support given during the photogrammetric field survey at the Byzantine Museum ...
doi:10.5194/isprs-archives-xli-b5-153-2016
fatcat:rkgalsn5uvfifhh3hcydgfe2wy
Novel Method For The Analysis Of Printed Circuit Images
1984
Applications of Digital Image Processing VII
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use an analog subsystem for part handling and image acquisition and a digital subsystem for image analysis and overall system control. ...
With an appropriate sequence of expansion steps it is possible to achieve the discrete octagonal expansion as illustrated in Fig. 2 and Fig. 3(a) and (b) . ...
We use the distance measure implied by octagonal expansion. ...
doi:10.1117/12.944849
fatcat:joz46rwybjhbtai5i6up6pm3um
Novel method for analysis of printed circuit images
1985
IBM Journal of Research and Development
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use an analog subsystem for part handling and image acquisition and a digital subsystem for image analysis and overall system control. ...
With an appropriate sequence of expansion steps it is possible to achieve the discrete octagonal expansion as illustrated in Fig. 2 and Fig. 3(a) and (b) . ...
We use the distance measure implied by octagonal expansion. ...
doi:10.1147/rd.291.0073
fatcat:hxehdmbe2fecbdc42wbruaho7m
Data Hiding Method Based on 3D Magic Cube
2020
IEEE Access
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Rule 2: If M (p i , p i+1 ) is an edge digit included in at least one octagon, then M (q i , q i+1 ) is one of the digits in all octagons that are adjacent. ...
The pixels were modified according to the rules below: Rule 1: If M (p i , p i+1 ) is a digit that is located in an octagon, then M (q i , q i+1 ) is one of the digits in this octagon. ...
doi:10.1109/access.2020.2975385
fatcat:klprfjf63rd5xfzwyrliwpgdo4
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