Diffuse arrays that autocorrelate and project as delta-like points Article Swipe
Imants Svalbe
,
David M. Paganin
,
Timothy C. Petersen
·
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2111.06568
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2111.06568
Diffuse two-dimensional integer-valued arrays are demonstrated that have delta-like aperiodic autocorrelation and, simultaneously, the array sums form delta-like projections along several directions. The delta-projected views show a single sharp spike at the central ray. When such arrays are embedded in larger blocks of two-dimensional data, their location can be fixed precisely via the fast and simple intersection of the back-projected central rays along two or more directions. This mechanism complements localization of the same array from its delta-like autocorrelation, which, although more robust, is slower and more complex to compute.
Related Topics
Concepts
Metadata
- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2111.06568
- https://arxiv.org/pdf/2111.06568
- OA Status
- green
- References
- 8
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W3214713365
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
-
https://openalex.org/W3214713365Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.48550/arxiv.2111.06568Digital Object Identifier
- Title
-
Diffuse arrays that autocorrelate and project as delta-like pointsWork title
- Type
-
preprintOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2021Year of publication
- Publication date
-
2021-11-12Full publication date if available
- Authors
-
Imants Svalbe, David M. Paganin, Timothy C. PetersenList of authors in order
- Landing page
-
https://arxiv.org/abs/2111.06568Publisher landing page
- PDF URL
-
https://arxiv.org/pdf/2111.06568Direct link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
-
https://arxiv.org/pdf/2111.06568Direct OA link when available
- Concepts
-
Aperiodic graph, Intersection (aeronautics), Autocorrelation, Integer (computer science), Delta, Simple (philosophy), Geometry, Mathematics, Computer science, Algorithm, Physics, Combinatorics, Cartography, Geography, Statistics, Epistemology, Programming language, Philosophy, AstronomyTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
0Total citation count in OpenAlex
- References (count)
-
8Number of works referenced by this work
- Related works (count)
-
10Other works algorithmically related by OpenAlex
Full payload
| id | https://openalex.org/W3214713365 |
|---|---|
| doi | https://doi.org/10.48550/arxiv.2111.06568 |
| ids.doi | https://doi.org/10.48550/arxiv.2111.06568 |
| ids.mag | 3214713365 |
| ids.openalex | https://openalex.org/W3214713365 |
| fwci | |
| type | preprint |
| title | Diffuse arrays that autocorrelate and project as delta-like points |
| biblio.issue | |
| biblio.volume | |
| biblio.last_page | |
| biblio.first_page | |
| topics[0].id | https://openalex.org/T11164 |
| topics[0].field.id | https://openalex.org/fields/23 |
| topics[0].field.display_name | Environmental Science |
| topics[0].score | 0.989300012588501 |
| topics[0].domain.id | https://openalex.org/domains/3 |
| topics[0].domain.display_name | Physical Sciences |
| topics[0].subfield.id | https://openalex.org/subfields/2305 |
| topics[0].subfield.display_name | Environmental Engineering |
| topics[0].display_name | Remote Sensing and LiDAR Applications |
| topics[1].id | https://openalex.org/T10666 |
| topics[1].field.id | https://openalex.org/fields/31 |
| topics[1].field.display_name | Physics and Astronomy |
| topics[1].score | 0.9824000000953674 |
| topics[1].domain.id | https://openalex.org/domains/3 |
| topics[1].domain.display_name | Physical Sciences |
| topics[1].subfield.id | https://openalex.org/subfields/3107 |
| topics[1].subfield.display_name | Atomic and Molecular Physics, and Optics |
| topics[1].display_name | Photonic Crystals and Applications |
| topics[2].id | https://openalex.org/T12162 |
| topics[2].field.id | https://openalex.org/fields/17 |
| topics[2].field.display_name | Computer Science |
| topics[2].score | 0.9593999981880188 |
| topics[2].domain.id | https://openalex.org/domains/3 |
| topics[2].domain.display_name | Physical Sciences |
| topics[2].subfield.id | https://openalex.org/subfields/1703 |
| topics[2].subfield.display_name | Computational Theory and Mathematics |
| topics[2].display_name | Cellular Automata and Applications |
| is_xpac | False |
| apc_list | |
| apc_paid | |
| concepts[0].id | https://openalex.org/C104247578 |
| concepts[0].level | 2 |
| concepts[0].score | 0.9112856388092041 |
| concepts[0].wikidata | https://www.wikidata.org/wiki/Q4779368 |
| concepts[0].display_name | Aperiodic graph |
| concepts[1].id | https://openalex.org/C64543145 |
| concepts[1].level | 2 |
| concepts[1].score | 0.6975101232528687 |
| concepts[1].wikidata | https://www.wikidata.org/wiki/Q162942 |
| concepts[1].display_name | Intersection (aeronautics) |
| concepts[2].id | https://openalex.org/C5297727 |
| concepts[2].level | 2 |
| concepts[2].score | 0.693047046661377 |
| concepts[2].wikidata | https://www.wikidata.org/wiki/Q786970 |
| concepts[2].display_name | Autocorrelation |
| concepts[3].id | https://openalex.org/C97137487 |
| concepts[3].level | 2 |
| concepts[3].score | 0.6625199317932129 |
| concepts[3].wikidata | https://www.wikidata.org/wiki/Q729138 |
| concepts[3].display_name | Integer (computer science) |
| concepts[4].id | https://openalex.org/C5072461 |
| concepts[4].level | 2 |
| concepts[4].score | 0.6349879503250122 |
| concepts[4].wikidata | https://www.wikidata.org/wiki/Q49506 |
| concepts[4].display_name | Delta |
| concepts[5].id | https://openalex.org/C2780586882 |
| concepts[5].level | 2 |
| concepts[5].score | 0.5485162138938904 |
| concepts[5].wikidata | https://www.wikidata.org/wiki/Q7520643 |
| concepts[5].display_name | Simple (philosophy) |
| concepts[6].id | https://openalex.org/C2524010 |
| concepts[6].level | 1 |
| concepts[6].score | 0.4031106233596802 |
| concepts[6].wikidata | https://www.wikidata.org/wiki/Q8087 |
| concepts[6].display_name | Geometry |
| concepts[7].id | https://openalex.org/C33923547 |
| concepts[7].level | 0 |
| concepts[7].score | 0.3686676025390625 |
| concepts[7].wikidata | https://www.wikidata.org/wiki/Q395 |
| concepts[7].display_name | Mathematics |
| concepts[8].id | https://openalex.org/C41008148 |
| concepts[8].level | 0 |
| concepts[8].score | 0.3484236001968384 |
| concepts[8].wikidata | https://www.wikidata.org/wiki/Q21198 |
| concepts[8].display_name | Computer science |
| concepts[9].id | https://openalex.org/C11413529 |
| concepts[9].level | 1 |
| concepts[9].score | 0.3413013815879822 |
| concepts[9].wikidata | https://www.wikidata.org/wiki/Q8366 |
| concepts[9].display_name | Algorithm |
| concepts[10].id | https://openalex.org/C121332964 |
| concepts[10].level | 0 |
| concepts[10].score | 0.3253028392791748 |
| concepts[10].wikidata | https://www.wikidata.org/wiki/Q413 |
| concepts[10].display_name | Physics |
| concepts[11].id | https://openalex.org/C114614502 |
| concepts[11].level | 1 |
| concepts[11].score | 0.2799513041973114 |
| concepts[11].wikidata | https://www.wikidata.org/wiki/Q76592 |
| concepts[11].display_name | Combinatorics |
| concepts[12].id | https://openalex.org/C58640448 |
| concepts[12].level | 1 |
| concepts[12].score | 0.13225817680358887 |
| concepts[12].wikidata | https://www.wikidata.org/wiki/Q42515 |
| concepts[12].display_name | Cartography |
| concepts[13].id | https://openalex.org/C205649164 |
| concepts[13].level | 0 |
| concepts[13].score | 0.12097042798995972 |
| concepts[13].wikidata | https://www.wikidata.org/wiki/Q1071 |
| concepts[13].display_name | Geography |
| concepts[14].id | https://openalex.org/C105795698 |
| concepts[14].level | 1 |
| concepts[14].score | 0.10612347722053528 |
| concepts[14].wikidata | https://www.wikidata.org/wiki/Q12483 |
| concepts[14].display_name | Statistics |
| concepts[15].id | https://openalex.org/C111472728 |
| concepts[15].level | 1 |
| concepts[15].score | 0.0 |
| concepts[15].wikidata | https://www.wikidata.org/wiki/Q9471 |
| concepts[15].display_name | Epistemology |
| concepts[16].id | https://openalex.org/C199360897 |
| concepts[16].level | 1 |
| concepts[16].score | 0.0 |
| concepts[16].wikidata | https://www.wikidata.org/wiki/Q9143 |
| concepts[16].display_name | Programming language |
| concepts[17].id | https://openalex.org/C138885662 |
| concepts[17].level | 0 |
| concepts[17].score | 0.0 |
| concepts[17].wikidata | https://www.wikidata.org/wiki/Q5891 |
| concepts[17].display_name | Philosophy |
| concepts[18].id | https://openalex.org/C1276947 |
| concepts[18].level | 1 |
| concepts[18].score | 0.0 |
| concepts[18].wikidata | https://www.wikidata.org/wiki/Q333 |
| concepts[18].display_name | Astronomy |
| keywords[0].id | https://openalex.org/keywords/aperiodic-graph |
| keywords[0].score | 0.9112856388092041 |
| keywords[0].display_name | Aperiodic graph |
| keywords[1].id | https://openalex.org/keywords/intersection |
| keywords[1].score | 0.6975101232528687 |
| keywords[1].display_name | Intersection (aeronautics) |
| keywords[2].id | https://openalex.org/keywords/autocorrelation |
| keywords[2].score | 0.693047046661377 |
| keywords[2].display_name | Autocorrelation |
| keywords[3].id | https://openalex.org/keywords/integer |
| keywords[3].score | 0.6625199317932129 |
| keywords[3].display_name | Integer (computer science) |
| keywords[4].id | https://openalex.org/keywords/delta |
| keywords[4].score | 0.6349879503250122 |
| keywords[4].display_name | Delta |
| keywords[5].id | https://openalex.org/keywords/simple |
| keywords[5].score | 0.5485162138938904 |
| keywords[5].display_name | Simple (philosophy) |
| keywords[6].id | https://openalex.org/keywords/geometry |
| keywords[6].score | 0.4031106233596802 |
| keywords[6].display_name | Geometry |
| keywords[7].id | https://openalex.org/keywords/mathematics |
| keywords[7].score | 0.3686676025390625 |
| keywords[7].display_name | Mathematics |
| keywords[8].id | https://openalex.org/keywords/computer-science |
| keywords[8].score | 0.3484236001968384 |
| keywords[8].display_name | Computer science |
| keywords[9].id | https://openalex.org/keywords/algorithm |
| keywords[9].score | 0.3413013815879822 |
| keywords[9].display_name | Algorithm |
| keywords[10].id | https://openalex.org/keywords/physics |
| keywords[10].score | 0.3253028392791748 |
| keywords[10].display_name | Physics |
| keywords[11].id | https://openalex.org/keywords/combinatorics |
| keywords[11].score | 0.2799513041973114 |
| keywords[11].display_name | Combinatorics |
| keywords[12].id | https://openalex.org/keywords/cartography |
| keywords[12].score | 0.13225817680358887 |
| keywords[12].display_name | Cartography |
| keywords[13].id | https://openalex.org/keywords/geography |
| keywords[13].score | 0.12097042798995972 |
| keywords[13].display_name | Geography |
| keywords[14].id | https://openalex.org/keywords/statistics |
| keywords[14].score | 0.10612347722053528 |
| keywords[14].display_name | Statistics |
| language | en |
| locations[0].id | pmh:oai:arXiv.org:2111.06568 |
| locations[0].is_oa | True |
| locations[0].source.id | https://openalex.org/S4306400194 |
| locations[0].source.issn | |
| locations[0].source.type | repository |
| locations[0].source.is_oa | True |
| locations[0].source.issn_l | |
| locations[0].source.is_core | False |
| locations[0].source.is_in_doaj | False |
| locations[0].source.display_name | arXiv (Cornell University) |
| locations[0].source.host_organization | https://openalex.org/I205783295 |
| locations[0].source.host_organization_name | Cornell University |
| locations[0].source.host_organization_lineage | https://openalex.org/I205783295 |
| locations[0].license | |
| locations[0].pdf_url | https://arxiv.org/pdf/2111.06568 |
| locations[0].version | submittedVersion |
| locations[0].raw_type | text |
| locations[0].license_id | |
| locations[0].is_accepted | False |
| locations[0].is_published | False |
| locations[0].raw_source_name | |
| locations[0].landing_page_url | http://arxiv.org/abs/2111.06568 |
| locations[1].id | doi:10.48550/arxiv.2111.06568 |
| locations[1].is_oa | True |
| locations[1].source.id | https://openalex.org/S4306400194 |
| locations[1].source.issn | |
| locations[1].source.type | repository |
| locations[1].source.is_oa | True |
| locations[1].source.issn_l | |
| locations[1].source.is_core | False |
| locations[1].source.is_in_doaj | False |
| locations[1].source.display_name | arXiv (Cornell University) |
| locations[1].source.host_organization | https://openalex.org/I205783295 |
| locations[1].source.host_organization_name | Cornell University |
| locations[1].source.host_organization_lineage | https://openalex.org/I205783295 |
| locations[1].license | |
| locations[1].pdf_url | |
| locations[1].version | |
| locations[1].raw_type | article |
| locations[1].license_id | |
| locations[1].is_accepted | False |
| locations[1].is_published | |
| locations[1].raw_source_name | |
| locations[1].landing_page_url | https://doi.org/10.48550/arxiv.2111.06568 |
| indexed_in | arxiv, datacite |
| authorships[0].author.id | https://openalex.org/A5080791277 |
| authorships[0].author.orcid | https://orcid.org/0000-0002-2958-4439 |
| authorships[0].author.display_name | Imants Svalbe |
| authorships[0].author_position | first |
| authorships[0].raw_author_name | I. D. Svalbe |
| authorships[0].is_corresponding | False |
| authorships[1].author.id | https://openalex.org/A5052209857 |
| authorships[1].author.orcid | https://orcid.org/0000-0002-7758-7140 |
| authorships[1].author.display_name | David M. Paganin |
| authorships[1].author_position | middle |
| authorships[1].raw_author_name | D. M. Paganin |
| authorships[1].is_corresponding | False |
| authorships[2].author.id | https://openalex.org/A5071007453 |
| authorships[2].author.orcid | https://orcid.org/0000-0002-8714-1484 |
| authorships[2].author.display_name | Timothy C. Petersen |
| authorships[2].author_position | last |
| authorships[2].raw_author_name | T. C. Petersen |
| authorships[2].is_corresponding | False |
| has_content.pdf | False |
| has_content.grobid_xml | False |
| is_paratext | False |
| open_access.is_oa | True |
| open_access.oa_url | https://arxiv.org/pdf/2111.06568 |
| open_access.oa_status | green |
| open_access.any_repository_has_fulltext | False |
| created_date | 2025-10-10T00:00:00 |
| display_name | Diffuse arrays that autocorrelate and project as delta-like points |
| has_fulltext | False |
| is_retracted | False |
| updated_date | 2025-11-06T06:51:31.235846 |
| primary_topic.id | https://openalex.org/T11164 |
| primary_topic.field.id | https://openalex.org/fields/23 |
| primary_topic.field.display_name | Environmental Science |
| primary_topic.score | 0.989300012588501 |
| primary_topic.domain.id | https://openalex.org/domains/3 |
| primary_topic.domain.display_name | Physical Sciences |
| primary_topic.subfield.id | https://openalex.org/subfields/2305 |
| primary_topic.subfield.display_name | Environmental Engineering |
| primary_topic.display_name | Remote Sensing and LiDAR Applications |
| related_works | https://openalex.org/W2037661079, https://openalex.org/W2339191433, https://openalex.org/W4220811941, https://openalex.org/W4298800952, https://openalex.org/W2039582600, https://openalex.org/W1992569127, https://openalex.org/W172284633, https://openalex.org/W4287817191, https://openalex.org/W4380551899, https://openalex.org/W2105345344 |
| cited_by_count | 0 |
| locations_count | 2 |
| best_oa_location.id | pmh:oai:arXiv.org:2111.06568 |
| best_oa_location.is_oa | True |
| best_oa_location.source.id | https://openalex.org/S4306400194 |
| best_oa_location.source.issn | |
| best_oa_location.source.type | repository |
| best_oa_location.source.is_oa | True |
| best_oa_location.source.issn_l | |
| best_oa_location.source.is_core | False |
| best_oa_location.source.is_in_doaj | False |
| best_oa_location.source.display_name | arXiv (Cornell University) |
| best_oa_location.source.host_organization | https://openalex.org/I205783295 |
| best_oa_location.source.host_organization_name | Cornell University |
| best_oa_location.source.host_organization_lineage | https://openalex.org/I205783295 |
| best_oa_location.license | |
| best_oa_location.pdf_url | https://arxiv.org/pdf/2111.06568 |
| best_oa_location.version | submittedVersion |
| best_oa_location.raw_type | text |
| best_oa_location.license_id | |
| best_oa_location.is_accepted | False |
| best_oa_location.is_published | False |
| best_oa_location.raw_source_name | |
| best_oa_location.landing_page_url | http://arxiv.org/abs/2111.06568 |
| primary_location.id | pmh:oai:arXiv.org:2111.06568 |
| primary_location.is_oa | True |
| primary_location.source.id | https://openalex.org/S4306400194 |
| primary_location.source.issn | |
| primary_location.source.type | repository |
| primary_location.source.is_oa | True |
| primary_location.source.issn_l | |
| primary_location.source.is_core | False |
| primary_location.source.is_in_doaj | False |
| primary_location.source.display_name | arXiv (Cornell University) |
| primary_location.source.host_organization | https://openalex.org/I205783295 |
| primary_location.source.host_organization_name | Cornell University |
| primary_location.source.host_organization_lineage | https://openalex.org/I205783295 |
| primary_location.license | |
| primary_location.pdf_url | https://arxiv.org/pdf/2111.06568 |
| primary_location.version | submittedVersion |
| primary_location.raw_type | text |
| primary_location.license_id | |
| primary_location.is_accepted | False |
| primary_location.is_published | False |
| primary_location.raw_source_name | |
| primary_location.landing_page_url | http://arxiv.org/abs/2111.06568 |
| publication_date | 2021-11-12 |
| publication_year | 2021 |
| referenced_works | https://openalex.org/W2294753185, https://openalex.org/W2138706041, https://openalex.org/W3170155439, https://openalex.org/W1968986695, https://openalex.org/W3171131661, https://openalex.org/W2066360935, https://openalex.org/W2119453429, https://openalex.org/W2982578246 |
| referenced_works_count | 8 |
| abstract_inverted_index.a | 26 |
| abstract_inverted_index.at | 30 |
| abstract_inverted_index.be | 48 |
| abstract_inverted_index.in | 39 |
| abstract_inverted_index.is | 83 |
| abstract_inverted_index.of | 42, 57, 71 |
| abstract_inverted_index.or | 64 |
| abstract_inverted_index.to | 88 |
| abstract_inverted_index.The | 22 |
| abstract_inverted_index.and | 54, 85 |
| abstract_inverted_index.are | 4, 37 |
| abstract_inverted_index.can | 47 |
| abstract_inverted_index.its | 76 |
| abstract_inverted_index.the | 13, 31, 52, 58, 72 |
| abstract_inverted_index.two | 63 |
| abstract_inverted_index.via | 51 |
| abstract_inverted_index.This | 67 |
| abstract_inverted_index.When | 34 |
| abstract_inverted_index.and, | 11 |
| abstract_inverted_index.fast | 53 |
| abstract_inverted_index.form | 16 |
| abstract_inverted_index.from | 75 |
| abstract_inverted_index.have | 7 |
| abstract_inverted_index.more | 65, 81, 86 |
| abstract_inverted_index.ray. | 33 |
| abstract_inverted_index.rays | 61 |
| abstract_inverted_index.same | 73 |
| abstract_inverted_index.show | 25 |
| abstract_inverted_index.such | 35 |
| abstract_inverted_index.sums | 15 |
| abstract_inverted_index.that | 6 |
| abstract_inverted_index.along | 19, 62 |
| abstract_inverted_index.array | 14, 74 |
| abstract_inverted_index.data, | 44 |
| abstract_inverted_index.fixed | 49 |
| abstract_inverted_index.sharp | 28 |
| abstract_inverted_index.spike | 29 |
| abstract_inverted_index.their | 45 |
| abstract_inverted_index.views | 24 |
| abstract_inverted_index.arrays | 3, 36 |
| abstract_inverted_index.blocks | 41 |
| abstract_inverted_index.larger | 40 |
| abstract_inverted_index.simple | 55 |
| abstract_inverted_index.single | 27 |
| abstract_inverted_index.slower | 84 |
| abstract_inverted_index.which, | 79 |
| abstract_inverted_index.Diffuse | 0 |
| abstract_inverted_index.central | 32, 60 |
| abstract_inverted_index.complex | 87 |
| abstract_inverted_index.robust, | 82 |
| abstract_inverted_index.several | 20 |
| abstract_inverted_index.although | 80 |
| abstract_inverted_index.compute. | 89 |
| abstract_inverted_index.embedded | 38 |
| abstract_inverted_index.location | 46 |
| abstract_inverted_index.aperiodic | 9 |
| abstract_inverted_index.mechanism | 68 |
| abstract_inverted_index.precisely | 50 |
| abstract_inverted_index.delta-like | 8, 17, 77 |
| abstract_inverted_index.complements | 69 |
| abstract_inverted_index.directions. | 21, 66 |
| abstract_inverted_index.projections | 18 |
| abstract_inverted_index.demonstrated | 5 |
| abstract_inverted_index.intersection | 56 |
| abstract_inverted_index.localization | 70 |
| abstract_inverted_index.back-projected | 59 |
| abstract_inverted_index.integer-valued | 2 |
| abstract_inverted_index.autocorrelation | 10 |
| abstract_inverted_index.delta-projected | 23 |
| abstract_inverted_index.simultaneously, | 12 |
| abstract_inverted_index.two-dimensional | 1, 43 |
| abstract_inverted_index.autocorrelation, | 78 |
| cited_by_percentile_year | |
| countries_distinct_count | 0 |
| institutions_distinct_count | 3 |
| citation_normalized_percentile |