Matches in SemOpenAlex for { <https://semopenalex.org/work/W1490227144> ?p ?o ?g. }
Showing items 1 to 100 of
100
with 100 items per page.
- W1490227144 abstract "This article presents a careful comparative evaluation of two techniques for numerical curvature estimation of 2D closed contours (more specifically closed, regular and simple parametric curves). The considered methods are: (a) a 1-D Fourier-based approach; and (b) a 2-D Fourier-based approach involving the embedding of the contour into a 2-D regular surface (presented for the first time in this article). Both these techniques employ Gaussian smoothing as a regularizing condition in order to estimate the first and second derivatives needed for curvature estimation. These methods are considered according to a multiresolution approach, where the standard deviation of the Gaussians are used as scale parameters. The methods are applied to a standard set of curves whose analytical curvatures are known in order to estimate and compare the errors of the numerical approaches. Three kinds of parametric curves are considered: (i) curves with analytical description; (ii) curves synthesized in terms of Fourier components of curvature; and (iii) curves obtained by splines. A precise comparison methodology is devised which includes the adoption of a common spatial quantization approach (namely square box quantization) and the explicit consideration of the influence of the related smoothing parameters. The obtained results indicate that the 1D approach is not only faster, but also more accurate. However, the 2-D approach is still interesting and reasonably accurate for applications in situations where the curvature along the whole 2-D domains is needed. Key-words: Differential geometry, numerical techniques, cuvature estimation, performance evaluation, Fourier transform." @default.
- W1490227144 created "2016-06-24" @default.
- W1490227144 creator A5001022567 @default.
- W1490227144 creator A5005669749 @default.
- W1490227144 creator A5011865738 @default.
- W1490227144 creator A5040077481 @default.
- W1490227144 creator A5059866013 @default.
- W1490227144 date "1999-01-01" @default.
- W1490227144 modified "2023-09-23" @default.
- W1490227144 title "Comparing curvature estimation techniques." @default.
- W1490227144 cites W1238092070 @default.
- W1490227144 cites W1565212980 @default.
- W1490227144 cites W1992525739 @default.
- W1490227144 cites W2002489995 @default.
- W1490227144 cites W2058399945 @default.
- W1490227144 cites W2063312355 @default.
- W1490227144 cites W2072738093 @default.
- W1490227144 cites W2078285351 @default.
- W1490227144 cites W2110065373 @default.
- W1490227144 cites W2122827492 @default.
- W1490227144 cites W2128270020 @default.
- W1490227144 cites W2168353136 @default.
- W1490227144 cites W2914161834 @default.
- W1490227144 hasPublicationYear "1999" @default.
- W1490227144 type Work @default.
- W1490227144 sameAs 1490227144 @default.
- W1490227144 citedByCount "0" @default.
- W1490227144 crossrefType "journal-article" @default.
- W1490227144 hasAuthorship W1490227144A5001022567 @default.
- W1490227144 hasAuthorship W1490227144A5005669749 @default.
- W1490227144 hasAuthorship W1490227144A5011865738 @default.
- W1490227144 hasAuthorship W1490227144A5040077481 @default.
- W1490227144 hasAuthorship W1490227144A5059866013 @default.
- W1490227144 hasConcept C102519508 @default.
- W1490227144 hasConcept C105795698 @default.
- W1490227144 hasConcept C11413529 @default.
- W1490227144 hasConcept C117251300 @default.
- W1490227144 hasConcept C121332964 @default.
- W1490227144 hasConcept C134306372 @default.
- W1490227144 hasConcept C154945302 @default.
- W1490227144 hasConcept C16140857 @default.
- W1490227144 hasConcept C163716315 @default.
- W1490227144 hasConcept C195065555 @default.
- W1490227144 hasConcept C203024314 @default.
- W1490227144 hasConcept C207864730 @default.
- W1490227144 hasConcept C2524010 @default.
- W1490227144 hasConcept C28826006 @default.
- W1490227144 hasConcept C33923547 @default.
- W1490227144 hasConcept C3770464 @default.
- W1490227144 hasConcept C41008148 @default.
- W1490227144 hasConcept C41608201 @default.
- W1490227144 hasConcept C62520636 @default.
- W1490227144 hasConcept C99636146 @default.
- W1490227144 hasConceptScore W1490227144C102519508 @default.
- W1490227144 hasConceptScore W1490227144C105795698 @default.
- W1490227144 hasConceptScore W1490227144C11413529 @default.
- W1490227144 hasConceptScore W1490227144C117251300 @default.
- W1490227144 hasConceptScore W1490227144C121332964 @default.
- W1490227144 hasConceptScore W1490227144C134306372 @default.
- W1490227144 hasConceptScore W1490227144C154945302 @default.
- W1490227144 hasConceptScore W1490227144C16140857 @default.
- W1490227144 hasConceptScore W1490227144C163716315 @default.
- W1490227144 hasConceptScore W1490227144C195065555 @default.
- W1490227144 hasConceptScore W1490227144C203024314 @default.
- W1490227144 hasConceptScore W1490227144C207864730 @default.
- W1490227144 hasConceptScore W1490227144C2524010 @default.
- W1490227144 hasConceptScore W1490227144C28826006 @default.
- W1490227144 hasConceptScore W1490227144C33923547 @default.
- W1490227144 hasConceptScore W1490227144C3770464 @default.
- W1490227144 hasConceptScore W1490227144C41008148 @default.
- W1490227144 hasConceptScore W1490227144C41608201 @default.
- W1490227144 hasConceptScore W1490227144C62520636 @default.
- W1490227144 hasConceptScore W1490227144C99636146 @default.
- W1490227144 hasLocation W14902271441 @default.
- W1490227144 hasOpenAccess W1490227144 @default.
- W1490227144 hasPrimaryLocation W14902271441 @default.
- W1490227144 hasRelatedWork W1948281221 @default.
- W1490227144 hasRelatedWork W2069944955 @default.
- W1490227144 hasRelatedWork W2334211197 @default.
- W1490227144 hasRelatedWork W2336451243 @default.
- W1490227144 hasRelatedWork W2885068760 @default.
- W1490227144 hasRelatedWork W2950402780 @default.
- W1490227144 hasRelatedWork W2953176616 @default.
- W1490227144 hasRelatedWork W2982608822 @default.
- W1490227144 hasRelatedWork W2998105502 @default.
- W1490227144 hasRelatedWork W3028407584 @default.
- W1490227144 hasRelatedWork W3046867598 @default.
- W1490227144 hasRelatedWork W3098847158 @default.
- W1490227144 hasRelatedWork W3103183444 @default.
- W1490227144 hasRelatedWork W3106479951 @default.
- W1490227144 hasRelatedWork W3112024117 @default.
- W1490227144 hasRelatedWork W3127477930 @default.
- W1490227144 hasRelatedWork W3166485480 @default.
- W1490227144 hasRelatedWork W747919347 @default.
- W1490227144 hasRelatedWork W2181448686 @default.
- W1490227144 hasRelatedWork W2935188929 @default.
- W1490227144 isParatext "false" @default.
- W1490227144 isRetracted "false" @default.
- W1490227144 magId "1490227144" @default.
- W1490227144 workType "article" @default.