Matches in SemOpenAlex for { <https://semopenalex.org/work/W2124455902> ?p ?o ?g. }
Showing items 1 to 80 of
80
with 100 items per page.
- W2124455902 abstract "In this paper, we study families of images generated by varying aparameter that controls the appearance of the object/scene in each image. Each image is viewed as a point in high-dimensional space; the family of images forms a low-dimensional submanifold that we call an image appearance manifold (IAM). We conduct a detailed study of some representative IAMs generated by translations/rotations of simple objects in the plane and by rotations of objects in 3-D space. Our central, somewhat surprising, finding is that IAMs generated by images with sharp edges are nowhere differentiable. Moreover, IAMs have an inherent multiscale structure in that approximate tangent planes fitted to e-neighborhoods continually twist off into new dimensions as the scale parameter e varies. We explore and explain this phenomenon. An additional, more exotic kind of local non-differentiability happens at some exceptional parameter points where occlusions cause image edges to disappear. These non-differentiabilities help to understand some key phenomena in image processing. They imply that Newton's method will not work in general for image registration, but that a multiscale Newton's method will work. Such a multiscale Newton's method is similar to existing coarse-to-fine differential estimation algorithms for image registration; the manifold perspective offers a well-founded theoretical motivation for the multiscale approach and allows quantitative study of convergence and approximation. The manifold viewpoint is also generalizable to other image understanding problems." @default.
- W2124455902 created "2016-06-24" @default.
- W2124455902 creator A5044975389 @default.
- W2124455902 creator A5065207980 @default.
- W2124455902 creator A5065355421 @default.
- W2124455902 creator A5072713767 @default.
- W2124455902 date "2005-08-18" @default.
- W2124455902 modified "2023-09-25" @default.
- W2124455902 title "The multiscale structure of non-differentiable image manifolds" @default.
- W2124455902 cites W1834283795 @default.
- W2124455902 cites W1970377488 @default.
- W2124455902 cites W1994154911 @default.
- W2124455902 cites W2001141328 @default.
- W2124455902 cites W2021991697 @default.
- W2124455902 cites W2025510965 @default.
- W2124455902 cites W2053186076 @default.
- W2124455902 cites W2057375458 @default.
- W2124455902 cites W2070779353 @default.
- W2124455902 cites W2087380704 @default.
- W2124455902 cites W2087841994 @default.
- W2124455902 cites W2096610373 @default.
- W2124455902 cites W2097224497 @default.
- W2124455902 cites W2109504624 @default.
- W2124455902 cites W2118877769 @default.
- W2124455902 cites W2138451337 @default.
- W2124455902 cites W2156838815 @default.
- W2124455902 cites W2166024367 @default.
- W2124455902 cites W3150353689 @default.
- W2124455902 cites W59168629 @default.
- W2124455902 cites W658559791 @default.
- W2124455902 cites W109996347 @default.
- W2124455902 doi "https://doi.org/10.1117/12.617822" @default.
- W2124455902 hasPublicationYear "2005" @default.
- W2124455902 type Work @default.
- W2124455902 sameAs 2124455902 @default.
- W2124455902 citedByCount "43" @default.
- W2124455902 countsByYear W21244559022012 @default.
- W2124455902 countsByYear W21244559022013 @default.
- W2124455902 countsByYear W21244559022014 @default.
- W2124455902 countsByYear W21244559022015 @default.
- W2124455902 countsByYear W21244559022016 @default.
- W2124455902 countsByYear W21244559022017 @default.
- W2124455902 countsByYear W21244559022019 @default.
- W2124455902 countsByYear W21244559022020 @default.
- W2124455902 countsByYear W21244559022021 @default.
- W2124455902 countsByYear W21244559022022 @default.
- W2124455902 crossrefType "proceedings-article" @default.
- W2124455902 hasAuthorship W2124455902A5044975389 @default.
- W2124455902 hasAuthorship W2124455902A5065207980 @default.
- W2124455902 hasAuthorship W2124455902A5065355421 @default.
- W2124455902 hasAuthorship W2124455902A5072713767 @default.
- W2124455902 hasBestOaLocation W21244559022 @default.
- W2124455902 hasConcept C202444582 @default.
- W2124455902 hasConcept C202615002 @default.
- W2124455902 hasConcept C31972630 @default.
- W2124455902 hasConcept C33923547 @default.
- W2124455902 hasConcept C41008148 @default.
- W2124455902 hasConceptScore W2124455902C202444582 @default.
- W2124455902 hasConceptScore W2124455902C202615002 @default.
- W2124455902 hasConceptScore W2124455902C31972630 @default.
- W2124455902 hasConceptScore W2124455902C33923547 @default.
- W2124455902 hasConceptScore W2124455902C41008148 @default.
- W2124455902 hasLocation W21244559021 @default.
- W2124455902 hasLocation W21244559022 @default.
- W2124455902 hasOpenAccess W2124455902 @default.
- W2124455902 hasPrimaryLocation W21244559021 @default.
- W2124455902 hasRelatedWork W1980454230 @default.
- W2124455902 hasRelatedWork W2334570605 @default.
- W2124455902 hasRelatedWork W2348722996 @default.
- W2124455902 hasRelatedWork W2358668433 @default.
- W2124455902 hasRelatedWork W2390279801 @default.
- W2124455902 hasRelatedWork W2748952813 @default.
- W2124455902 hasRelatedWork W2899084033 @default.
- W2124455902 hasRelatedWork W3181683615 @default.
- W2124455902 hasRelatedWork W4283328317 @default.
- W2124455902 hasRelatedWork W4327738859 @default.
- W2124455902 isParatext "false" @default.
- W2124455902 isRetracted "false" @default.
- W2124455902 magId "2124455902" @default.
- W2124455902 workType "article" @default.