{"id":"https://openalex.org/W3111403725","doi":"https://doi.org/10.1007/978-981-15-8061-1_23","title":"Inversion Formula for the Wavelet Transform Associated with Legendre Transform","display_name":"Inversion Formula for the Wavelet Transform Associated with Legendre Transform","publication_year":2020,"publication_date":"2020-12-10","ids":{"openalex":"https://openalex.org/W3111403725","doi":"https://doi.org/10.1007/978-981-15-8061-1_23","mag":"3111403725"},"language":"en","primary_location":{"id":"doi:10.1007/978-981-15-8061-1_23","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-981-15-8061-1_23","pdf_url":null,"source":{"id":"https://openalex.org/S2764905038","display_name":"Advances in intelligent systems and computing","issn_l":"2194-5357","issn":["2194-5357","2194-5365"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Intelligent Systems and Computing","raw_type":"book-chapter"},"type":"book-chapter","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/A5091816162","display_name":"Jyoti Saikia","orcid":null},"institutions":[{"id":"https://openalex.org/I160302567","display_name":"North Eastern Regional Institute of Science and Technology","ror":"https://ror.org/01wbhqj28","country_code":"IN","type":"education","lineage":["https://openalex.org/I160302567"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Jyoti Saikia","raw_affiliation_strings":["North Eastern Regional Institute of Science and Technology, Nirjuli, 791109, Arunachal Pradesh, India"],"affiliations":[{"raw_affiliation_string":"North Eastern Regional Institute of Science and Technology, Nirjuli, 791109, Arunachal Pradesh, India","institution_ids":["https://openalex.org/I160302567"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086606412","display_name":"C. P. Pandey","orcid":null},"institutions":[{"id":"https://openalex.org/I160302567","display_name":"North Eastern Regional Institute of Science and Technology","ror":"https://ror.org/01wbhqj28","country_code":"IN","type":"education","lineage":["https://openalex.org/I160302567"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"C. P. Pandey","raw_affiliation_strings":["North Eastern Regional Institute of Science and Technology, Nirjuli, 791109, Arunachal Pradesh, India"],"affiliations":[{"raw_affiliation_string":"North Eastern Regional Institute of Science and Technology, Nirjuli, 791109, Arunachal Pradesh, India","institution_ids":["https://openalex.org/I160302567"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5091816162"],"corresponding_institution_ids":["https://openalex.org/I160302567"],"apc_list":null,"apc_paid":null,"fwci":0.611,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.6997921,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"287","last_page":"295"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11659","display_name":"Advanced Image Fusion Techniques","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11659","display_name":"Advanced Image Fusion Techniques","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9983999729156494,"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/T10689","display_name":"Remote-Sensing Image Classification","score":0.9674999713897705,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/legendre-wavelet","display_name":"Legendre wavelet","score":0.8232278227806091},{"id":"https://openalex.org/keywords/legendre-polynomials","display_name":"Legendre polynomials","score":0.746319591999054},{"id":"https://openalex.org/keywords/legendre-transformation","display_name":"Legendre transformation","score":0.6094844341278076},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5554333329200745},{"id":"https://openalex.org/keywords/wavelet-transform","display_name":"Wavelet transform","score":0.5526250600814819},{"id":"https://openalex.org/keywords/associated-legendre-polynomials","display_name":"Associated Legendre polynomials","score":0.5446627736091614},{"id":"https://openalex.org/keywords/inversion","display_name":"Inversion (geology)","score":0.5434056520462036},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.4681530296802521},{"id":"https://openalex.org/keywords/harmonic-wavelet-transform","display_name":"Harmonic wavelet transform","score":0.46410855650901794},{"id":"https://openalex.org/keywords/continuous-wavelet-transform","display_name":"Continuous wavelet transform","score":0.44255486130714417},{"id":"https://openalex.org/keywords/convolution","display_name":"Convolution (computer science)","score":0.43099915981292725},{"id":"https://openalex.org/keywords/discrete-wavelet-transform","display_name":"Discrete wavelet transform","score":0.40011465549468994},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3926383852958679},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21047693490982056},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.16588452458381653},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.11096805334091187},{"id":"https://openalex.org/keywords/classical-orthogonal-polynomials","display_name":"Classical orthogonal polynomials","score":0.10564860701560974},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10217607021331787},{"id":"https://openalex.org/keywords/gegenbauer-polynomials","display_name":"Gegenbauer polynomials","score":0.07015359401702881}],"concepts":[{"id":"https://openalex.org/C123769847","wikidata":"https://www.wikidata.org/wiki/Q6517888","display_name":"Legendre wavelet","level":5,"score":0.8232278227806091},{"id":"https://openalex.org/C111458787","wikidata":"https://www.wikidata.org/wiki/Q215405","display_name":"Legendre polynomials","level":2,"score":0.746319591999054},{"id":"https://openalex.org/C116594300","wikidata":"https://www.wikidata.org/wiki/Q908652","display_name":"Legendre transformation","level":2,"score":0.6094844341278076},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5554333329200745},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.5526250600814819},{"id":"https://openalex.org/C36956377","wikidata":"https://www.wikidata.org/wiki/Q228376","display_name":"Associated Legendre polynomials","level":5,"score":0.5446627736091614},{"id":"https://openalex.org/C1893757","wikidata":"https://www.wikidata.org/wiki/Q3653001","display_name":"Inversion (geology)","level":3,"score":0.5434056520462036},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.4681530296802521},{"id":"https://openalex.org/C1109138","wikidata":"https://www.wikidata.org/wiki/Q3280930","display_name":"Harmonic wavelet transform","level":5,"score":0.46410855650901794},{"id":"https://openalex.org/C95722684","wikidata":"https://www.wikidata.org/wiki/Q2622756","display_name":"Continuous wavelet transform","level":5,"score":0.44255486130714417},{"id":"https://openalex.org/C45347329","wikidata":"https://www.wikidata.org/wiki/Q5166604","display_name":"Convolution (computer science)","level":3,"score":0.43099915981292725},{"id":"https://openalex.org/C46286280","wikidata":"https://www.wikidata.org/wiki/Q2414958","display_name":"Discrete wavelet transform","level":4,"score":0.40011465549468994},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3926383852958679},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21047693490982056},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.16588452458381653},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.11096805334091187},{"id":"https://openalex.org/C21736991","wikidata":"https://www.wikidata.org/wiki/Q17006917","display_name":"Classical orthogonal polynomials","level":3,"score":0.10564860701560974},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10217607021331787},{"id":"https://openalex.org/C78540521","wikidata":"https://www.wikidata.org/wiki/Q1498246","display_name":"Gegenbauer polynomials","level":4,"score":0.07015359401702881},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C109007969","wikidata":"https://www.wikidata.org/wiki/Q749565","display_name":"Structural basin","level":2,"score":0.0},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-981-15-8061-1_23","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-981-15-8061-1_23","pdf_url":null,"source":{"id":"https://openalex.org/S2764905038","display_name":"Advances in intelligent systems and computing","issn_l":"2194-5357","issn":["2194-5357","2194-5365"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Intelligent Systems and Computing","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W627728979","https://openalex.org/W1978086110","https://openalex.org/W1993734646","https://openalex.org/W2000701537","https://openalex.org/W2021722152","https://openalex.org/W2035344387","https://openalex.org/W2077301012","https://openalex.org/W2090312490","https://openalex.org/W2123133254","https://openalex.org/W3202780401","https://openalex.org/W4253366578","https://openalex.org/W4256555983","https://openalex.org/W4302311470"],"related_works":["https://openalex.org/W3020087995","https://openalex.org/W2153062960","https://openalex.org/W2891194680","https://openalex.org/W2736737644","https://openalex.org/W2079040030","https://openalex.org/W2025296287","https://openalex.org/W1988348238","https://openalex.org/W2379187670","https://openalex.org/W2217115449","https://openalex.org/W4255125647"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}