Matches in SemOpenAlex for { <https://semopenalex.org/work/W4313013590> ?p ?o ?g. }
Showing items 1 to 99 of
99
with 100 items per page.
- W4313013590 endingPage "11" @default.
- W4313013590 startingPage "1" @default.
- W4313013590 abstract "Abstract Shape interpolation is a fundamental problem in computer graphics. Recently, there have been some interpolation methods developed which guarantee that the results are of bounded amount of geometric distortion, hence ensure high quality interpolation. However, none of these methods is applicable to shapes within the multiply‐connected domains. In this work, we develop an interpolation scheme for harmonic mappings, that specifically addresses this limitation. We opt to interpolate the pullback metric of the input harmonic maps as proposed by Chen et al. [CWKBC13]. However, the interpolated metric does not correspond to any planar mapping, which is the main challenge in the interpolation problem for multiply‐connected domains. We propose to solve this by projecting the interpolated metric into the planar harmonic mapping space. Specifically, we develop a Newton iteration to minimize the isometric distortion of the intermediate mapping, with respect to the interpolated metric. For more efficient Newton iteration, we further derived a simple analytic formula for the positive semidefinite (PSD) projection of the Hessian matrix of our distortion energy. Through extensive experiments and comparisons with the state‐of‐the‐art, we demonstrate the efficacy and robustness of our method for various inputs." @default.
- W4313013590 created "2023-01-05" @default.
- W4313013590 creator A5037814539 @default.
- W4313013590 creator A5090796023 @default.
- W4313013590 date "2022-08-01" @default.
- W4313013590 modified "2023-09-26" @default.
- W4313013590 title "Harmonic Shape Interpolation on Multiply‐connected Planar Domains" @default.
- W4313013590 cites W1427549939 @default.
- W4313013590 cites W1827769268 @default.
- W4313013590 cites W1977148430 @default.
- W4313013590 cites W2010986468 @default.
- W4313013590 cites W2042408170 @default.
- W4313013590 cites W2047594593 @default.
- W4313013590 cites W2076159000 @default.
- W4313013590 cites W2095986812 @default.
- W4313013590 cites W2133497849 @default.
- W4313013590 cites W2133921496 @default.
- W4313013590 cites W2135785391 @default.
- W4313013590 cites W2137742453 @default.
- W4313013590 cites W2143030836 @default.
- W4313013590 cites W2157079418 @default.
- W4313013590 cites W2169055648 @default.
- W4313013590 cites W2470614169 @default.
- W4313013590 cites W2474764209 @default.
- W4313013590 cites W2769572224 @default.
- W4313013590 cites W2914050481 @default.
- W4313013590 cites W2915668163 @default.
- W4313013590 cites W2987667998 @default.
- W4313013590 cites W3004726950 @default.
- W4313013590 cites W3180053563 @default.
- W4313013590 cites W4246041266 @default.
- W4313013590 doi "https://doi.org/10.1111/cgf.14598" @default.
- W4313013590 hasPublicationYear "2022" @default.
- W4313013590 type Work @default.
- W4313013590 citedByCount "0" @default.
- W4313013590 crossrefType "journal-article" @default.
- W4313013590 hasAuthorship W4313013590A5037814539 @default.
- W4313013590 hasAuthorship W4313013590A5090796023 @default.
- W4313013590 hasConcept C104114177 @default.
- W4313013590 hasConcept C105795698 @default.
- W4313013590 hasConcept C11413529 @default.
- W4313013590 hasConcept C126255220 @default.
- W4313013590 hasConcept C134306372 @default.
- W4313013590 hasConcept C137800194 @default.
- W4313013590 hasConcept C154945302 @default.
- W4313013590 hasConcept C162324750 @default.
- W4313013590 hasConcept C171836373 @default.
- W4313013590 hasConcept C176217482 @default.
- W4313013590 hasConcept C188325010 @default.
- W4313013590 hasConcept C205203396 @default.
- W4313013590 hasConcept C207214200 @default.
- W4313013590 hasConcept C21547014 @default.
- W4313013590 hasConcept C31447003 @default.
- W4313013590 hasConcept C33923547 @default.
- W4313013590 hasConcept C41008148 @default.
- W4313013590 hasConcept C49608258 @default.
- W4313013590 hasConcept C90119067 @default.
- W4313013590 hasConceptScore W4313013590C104114177 @default.
- W4313013590 hasConceptScore W4313013590C105795698 @default.
- W4313013590 hasConceptScore W4313013590C11413529 @default.
- W4313013590 hasConceptScore W4313013590C126255220 @default.
- W4313013590 hasConceptScore W4313013590C134306372 @default.
- W4313013590 hasConceptScore W4313013590C137800194 @default.
- W4313013590 hasConceptScore W4313013590C154945302 @default.
- W4313013590 hasConceptScore W4313013590C162324750 @default.
- W4313013590 hasConceptScore W4313013590C171836373 @default.
- W4313013590 hasConceptScore W4313013590C176217482 @default.
- W4313013590 hasConceptScore W4313013590C188325010 @default.
- W4313013590 hasConceptScore W4313013590C205203396 @default.
- W4313013590 hasConceptScore W4313013590C207214200 @default.
- W4313013590 hasConceptScore W4313013590C21547014 @default.
- W4313013590 hasConceptScore W4313013590C31447003 @default.
- W4313013590 hasConceptScore W4313013590C33923547 @default.
- W4313013590 hasConceptScore W4313013590C41008148 @default.
- W4313013590 hasConceptScore W4313013590C49608258 @default.
- W4313013590 hasConceptScore W4313013590C90119067 @default.
- W4313013590 hasFunder F4320321001 @default.
- W4313013590 hasFunder F4320334897 @default.
- W4313013590 hasFunder F4320335777 @default.
- W4313013590 hasIssue "5" @default.
- W4313013590 hasLocation W43130135901 @default.
- W4313013590 hasOpenAccess W4313013590 @default.
- W4313013590 hasPrimaryLocation W43130135901 @default.
- W4313013590 hasRelatedWork W1931038999 @default.
- W4313013590 hasRelatedWork W2018318601 @default.
- W4313013590 hasRelatedWork W2111209885 @default.
- W4313013590 hasRelatedWork W2129292412 @default.
- W4313013590 hasRelatedWork W2352862135 @default.
- W4313013590 hasRelatedWork W2355602298 @default.
- W4313013590 hasRelatedWork W2366182368 @default.
- W4313013590 hasRelatedWork W2387989637 @default.
- W4313013590 hasRelatedWork W3120123521 @default.
- W4313013590 hasRelatedWork W4384376223 @default.
- W4313013590 hasVolume "41" @default.
- W4313013590 isParatext "false" @default.
- W4313013590 isRetracted "false" @default.
- W4313013590 workType "article" @default.