{"id":"https://openalex.org/W2907103446","doi":"https://doi.org/10.23919/fruct.2018.8588073","title":"On Block Representations in Image Processing Problems","display_name":"On Block Representations in Image Processing Problems","publication_year":2018,"publication_date":"2018-11-01","ids":{"openalex":"https://openalex.org/W2907103446","doi":"https://doi.org/10.23919/fruct.2018.8588073","mag":"2907103446"},"language":"en","primary_location":{"id":"doi:10.23919/fruct.2018.8588073","is_oa":false,"landing_page_url":"https://doi.org/10.23919/fruct.2018.8588073","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 23rd Conference of Open Innovations Association (FRUCT)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5007665457","display_name":"\u0412. \u041d. \u0413\u043e\u0440\u0431\u0430\u0447\u0435\u0432","orcid":null},"institutions":[{"id":"https://openalex.org/I4210088432","display_name":"Saint-Petersburg State University of Technology and Design","ror":"https://ror.org/005zjex51","country_code":"RU","type":"education","lineage":["https://openalex.org/I4210088432"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Valery Gorbachev","raw_affiliation_strings":["High School of Print and Media of St. Petersburg State University St. Petersburg State University of Industrial Technology and Design, St. Petersburg, Russia"],"affiliations":[{"raw_affiliation_string":"High School of Print and Media of St. Petersburg State University St. Petersburg State University of Industrial Technology and Design, St. Petersburg, Russia","institution_ids":["https://openalex.org/I4210088432"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007773346","display_name":"Elena Kaynarova","orcid":null},"institutions":[{"id":"https://openalex.org/I4210088432","display_name":"Saint-Petersburg State University of Technology and Design","ror":"https://ror.org/005zjex51","country_code":"RU","type":"education","lineage":["https://openalex.org/I4210088432"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Elena Kaynarova","raw_affiliation_strings":["High School of Print and Media of St. Petersburg State University St. Petersburg State University of Industrial Technology and Design, St. Petersburg, Russia"],"affiliations":[{"raw_affiliation_string":"High School of Print and Media of St. Petersburg State University St. Petersburg State University of Industrial Technology and Design, St. Petersburg, Russia","institution_ids":["https://openalex.org/I4210088432"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012443189","display_name":"\u0410. \u0410. \u041c\u0430\u043a\u0430\u0440\u043e\u0432","orcid":"https://orcid.org/0000-0001-9539-6105"},"institutions":[{"id":"https://openalex.org/I172901346","display_name":"St Petersburg University","ror":"https://ror.org/023znxa73","country_code":"RU","type":"education","lineage":["https://openalex.org/I172901346"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Anton Makarov","raw_affiliation_strings":["St. Petersburg State University, St. Petersburg, Russia"],"affiliations":[{"raw_affiliation_string":"St. Petersburg State University, St. Petersburg, Russia","institution_ids":["https://openalex.org/I172901346"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064542275","display_name":"E. S. Yakovleva","orcid":"https://orcid.org/0000-0003-4681-3683"},"institutions":[{"id":"https://openalex.org/I172901346","display_name":"St Petersburg University","ror":"https://ror.org/023znxa73","country_code":"RU","type":"education","lineage":["https://openalex.org/I172901346"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Elena Yakovleva","raw_affiliation_strings":["St. Petersburg State University, St. Petersburg, Russia"],"affiliations":[{"raw_affiliation_string":"St. Petersburg State University, St. Petersburg, Russia","institution_ids":["https://openalex.org/I172901346"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5007665457"],"corresponding_institution_ids":["https://openalex.org/I4210088432"],"apc_list":null,"apc_paid":null,"fwci":0.1045,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.48042152,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"128","last_page":"134"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9948999881744385,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9948999881744385,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T14438","display_name":"Advanced Scientific Research Methods","score":0.986299991607666,"subfield":{"id":"https://openalex.org/subfields/1106","display_name":"Food Science"},"field":{"id":"https://openalex.org/fields/11","display_name":"Agricultural and Biological Sciences"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10388","display_name":"Advanced Steganography and Watermarking Techniques","score":0.9817000031471252,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/orthonormal-basis","display_name":"Orthonormal basis","score":0.6752858757972717},{"id":"https://openalex.org/keywords/digital-watermarking","display_name":"Digital watermarking","score":0.6472281217575073},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6095266342163086},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5869083404541016},{"id":"https://openalex.org/keywords/grayscale","display_name":"Grayscale","score":0.5433481931686401},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.5071165561676025},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.5070483684539795},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4931280314922333},{"id":"https://openalex.org/keywords/digital-image","display_name":"Digital image","score":0.4749572277069092},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.42880675196647644},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4286985993385315},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4274086356163025},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.4113715887069702},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.37972378730773926},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36191847920417786},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3189208507537842}],"concepts":[{"id":"https://openalex.org/C5806529","wikidata":"https://www.wikidata.org/wiki/Q2365325","display_name":"Orthonormal basis","level":2,"score":0.6752858757972717},{"id":"https://openalex.org/C150817343","wikidata":"https://www.wikidata.org/wiki/Q875932","display_name":"Digital watermarking","level":3,"score":0.6472281217575073},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6095266342163086},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5869083404541016},{"id":"https://openalex.org/C78201319","wikidata":"https://www.wikidata.org/wiki/Q685727","display_name":"Grayscale","level":3,"score":0.5433481931686401},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.5071165561676025},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.5070483684539795},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4931280314922333},{"id":"https://openalex.org/C42781572","wikidata":"https://www.wikidata.org/wiki/Q1250322","display_name":"Digital image","level":4,"score":0.4749572277069092},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.42880675196647644},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4286985993385315},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4274086356163025},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.4113715887069702},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.37972378730773926},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36191847920417786},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3189208507537842},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/fruct.2018.8588073","is_oa":false,"landing_page_url":"https://doi.org/10.23919/fruct.2018.8588073","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 23rd Conference of Open Innovations Association (FRUCT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1591898926","https://openalex.org/W1996704412","https://openalex.org/W2007045261","https://openalex.org/W2065515862","https://openalex.org/W2148677273","https://openalex.org/W2169434917","https://openalex.org/W2308980317","https://openalex.org/W2371212513","https://openalex.org/W2424778146","https://openalex.org/W2512000687","https://openalex.org/W2600380070","https://openalex.org/W2755494271","https://openalex.org/W2755557681","https://openalex.org/W2783287386","https://openalex.org/W2802355674","https://openalex.org/W2803329254","https://openalex.org/W2810295557","https://openalex.org/W2879044693","https://openalex.org/W2994965694","https://openalex.org/W4229990324","https://openalex.org/W4254004995","https://openalex.org/W4301807748","https://openalex.org/W6635518472","https://openalex.org/W6744321150","https://openalex.org/W6744449429"],"related_works":["https://openalex.org/W4283331494","https://openalex.org/W3036827782","https://openalex.org/W1504972346","https://openalex.org/W2951194758","https://openalex.org/W2356087891","https://openalex.org/W2553152692","https://openalex.org/W1997609524","https://openalex.org/W2183514925","https://openalex.org/W2348439329","https://openalex.org/W1997234952"],"abstract_inverted_index":{"Any":[0],"orthogonal":[1],"transformation":[2],"of":[3,14,46,60,68],"the":[4,36,77],"digital":[5,24,69],"grayscale":[6],"image":[7],"can":[8,64],"be":[9,17,56],"represented":[10],"by":[11],"a":[12,42,66],"set":[13,67],"images":[15],"to":[16,55],"an":[18],"orthonormal":[19],"basis.":[20],"For":[21],"such":[22],"representation":[23,59,72,90],"data":[25,78],"scattering":[26],"was":[27],"considered":[28],"that":[29,63],"is":[30,53,91],"important":[31],"in":[32],"applications,":[33],"particularly":[34],"for":[35,58,83],"robust":[37],"watermarking":[38,86],"techniques.":[39],"We":[40],"introduce":[41],"block":[43],"matrix,":[44],"elements":[45],"which":[47],"are":[48],"basis":[49],"images.":[50,70],"This":[51,71],"matrix":[52],"found":[54],"useful":[57],"multi-dimensional":[61],"arrays,":[62],"describe":[65],"has":[73],"new":[74],"features":[75],"concerning":[76],"scattering.":[79],"A":[80],"steganographic":[81],"scheme":[82],"frequency":[84],"domain":[85],"based":[87],"on":[88],"this":[89],"considered.":[92]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}