Matches in SemOpenAlex for { <https://semopenalex.org/work/W3124182633> ?p ?o ?g. }
Showing items 1 to 86 of
86
with 100 items per page.
- W3124182633 abstract "The theory of the continuous two-dimensional (2D) Fourier Transform in polar coordinates has been recently developed but no discrete counterpart exists to date. In this paper, we propose and evaluate the theory of the 2D discrete Fourier Transform (DFT) in polar coordinates. This discrete theory is shown to arise from discretization schemes that have been previously employed with the 1D DFT and the discrete Hankel Transform (DHT). The proposed transform possesses orthogonality properties, which leads to invertibility of the transform. In the first part of this two-part paper, the theory of the actual manipulated quantities is shown, including the standard set of shift, modulation, multiplication, and convolution rules. Parseval and modified Parseval relationships are shown, depending on which choice of kernel is used. Similar to its continuous counterpart, the 2D DFT in polar coordinates is shown to consist of a 1D DFT, DHT and 1D inverse DFT." @default.
- W3124182633 created "2021-02-01" @default.
- W3124182633 creator A5042049538 @default.
- W3124182633 date "2019-07-11" @default.
- W3124182633 modified "2023-09-26" @default.
- W3124182633 title "Discrete Two Dimensional Fourier Transform in Polar Coordinates Part I: Theory and Operational Rules" @default.
- W3124182633 doi "https://doi.org/10.20944/preprints201907.0151.v1" @default.
- W3124182633 hasPublicationYear "2019" @default.
- W3124182633 type Work @default.
- W3124182633 sameAs 3124182633 @default.
- W3124182633 citedByCount "0" @default.
- W3124182633 crossrefType "posted-content" @default.
- W3124182633 hasAuthorship W3124182633A5042049538 @default.
- W3124182633 hasBestOaLocation W31241826331 @default.
- W3124182633 hasConcept C102519508 @default.
- W3124182633 hasConcept C119857082 @default.
- W3124182633 hasConcept C122444316 @default.
- W3124182633 hasConcept C134306372 @default.
- W3124182633 hasConcept C167058841 @default.
- W3124182633 hasConcept C17137986 @default.
- W3124182633 hasConcept C192853989 @default.
- W3124182633 hasConcept C194980680 @default.
- W3124182633 hasConcept C202444582 @default.
- W3124182633 hasConcept C203024314 @default.
- W3124182633 hasConcept C2524010 @default.
- W3124182633 hasConcept C33923547 @default.
- W3124182633 hasConcept C41008148 @default.
- W3124182633 hasConcept C45347329 @default.
- W3124182633 hasConcept C50644808 @default.
- W3124182633 hasConcept C57640460 @default.
- W3124182633 hasConcept C57733114 @default.
- W3124182633 hasConcept C67757890 @default.
- W3124182633 hasConcept C73000952 @default.
- W3124182633 hasConcept C74193536 @default.
- W3124182633 hasConcept C76563020 @default.
- W3124182633 hasConcept C89451469 @default.
- W3124182633 hasConceptScore W3124182633C102519508 @default.
- W3124182633 hasConceptScore W3124182633C119857082 @default.
- W3124182633 hasConceptScore W3124182633C122444316 @default.
- W3124182633 hasConceptScore W3124182633C134306372 @default.
- W3124182633 hasConceptScore W3124182633C167058841 @default.
- W3124182633 hasConceptScore W3124182633C17137986 @default.
- W3124182633 hasConceptScore W3124182633C192853989 @default.
- W3124182633 hasConceptScore W3124182633C194980680 @default.
- W3124182633 hasConceptScore W3124182633C202444582 @default.
- W3124182633 hasConceptScore W3124182633C203024314 @default.
- W3124182633 hasConceptScore W3124182633C2524010 @default.
- W3124182633 hasConceptScore W3124182633C33923547 @default.
- W3124182633 hasConceptScore W3124182633C41008148 @default.
- W3124182633 hasConceptScore W3124182633C45347329 @default.
- W3124182633 hasConceptScore W3124182633C50644808 @default.
- W3124182633 hasConceptScore W3124182633C57640460 @default.
- W3124182633 hasConceptScore W3124182633C57733114 @default.
- W3124182633 hasConceptScore W3124182633C67757890 @default.
- W3124182633 hasConceptScore W3124182633C73000952 @default.
- W3124182633 hasConceptScore W3124182633C74193536 @default.
- W3124182633 hasConceptScore W3124182633C76563020 @default.
- W3124182633 hasConceptScore W3124182633C89451469 @default.
- W3124182633 hasLocation W31241826331 @default.
- W3124182633 hasLocation W31241826332 @default.
- W3124182633 hasOpenAccess W3124182633 @default.
- W3124182633 hasPrimaryLocation W31241826331 @default.
- W3124182633 hasRelatedWork W159743921 @default.
- W3124182633 hasRelatedWork W2021859581 @default.
- W3124182633 hasRelatedWork W2023500677 @default.
- W3124182633 hasRelatedWork W2030912184 @default.
- W3124182633 hasRelatedWork W2069711190 @default.
- W3124182633 hasRelatedWork W2083715942 @default.
- W3124182633 hasRelatedWork W2111033807 @default.
- W3124182633 hasRelatedWork W2115936708 @default.
- W3124182633 hasRelatedWork W2120568557 @default.
- W3124182633 hasRelatedWork W2127653298 @default.
- W3124182633 hasRelatedWork W2128314750 @default.
- W3124182633 hasRelatedWork W2170755202 @default.
- W3124182633 hasRelatedWork W2467037665 @default.
- W3124182633 hasRelatedWork W2497046618 @default.
- W3124182633 hasRelatedWork W277201185 @default.
- W3124182633 hasRelatedWork W2913115153 @default.
- W3124182633 hasRelatedWork W2958082451 @default.
- W3124182633 hasRelatedWork W2964058919 @default.
- W3124182633 hasRelatedWork W2182522341 @default.
- W3124182633 hasRelatedWork W2516295475 @default.
- W3124182633 isParatext "false" @default.
- W3124182633 isRetracted "false" @default.
- W3124182633 magId "3124182633" @default.
- W3124182633 workType "article" @default.