For example, the use of point vortices as idealized solutions can already be found in a 1931 paper concerning a “line of discontinuity” in planar fluid flow (Rosenhead 1931). Vortex methods for fluid modeling predate the computer age, and references to them can be found in the work of Helmholtz (Smith 2011, see the introductory section). Such findings illuminate the rich dynamics which occur below the regularization length scale and enlighten our perspective on the potential for regularized fluid models to capture multiscale phenomena. Applications to the design of numerical methods similar to vortex blob methods are also discussed. We also describe the symplectic geometry associated with these augmented vortex structures, and we characterize the dynamics as Hamiltonian. We determine the conditions under which such regularized Euler fluid equations may admit vorticity singularities which are stronger than delta functions, e.g., derivatives of delta functions. More specifically, a new singular vortex theory is presented for regularized Euler fluid equations of ideal incompressible flow in the plane. In this article, we observe that the dynamics need not be trivial if one is willing to consider distributional derivatives of Dirac delta functionals as valid vorticity distributions. 230000000875 corresponding Effects 0.Vortex blob methods are typically characterized by a regularization length scale, below which the dynamics are trivial for isolated blobs.238000004458 analytical method Methods 0.000 claims description 37.238000001514 detection method Methods 0.000 title claims abstract description 86.Assignors: CHOI, BYEONG CHEOL Publication of US20110135204A1 publication Critical patent/US20110135204A1/en Application granted granted Critical Publication of US8411964B2 publication Critical patent/US8411964B2/en Status Expired - Fee Related legal-status Critical Current Adjusted expiration legal-status Critical Links Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.) Filing date Publication date Priority to KR1020090120241A priority Critical patent/KR101272611B1/en Priority to KR10-2009-0120241 priority Application filed by Electronics and Telecommunications Research Institute ETRI filed Critical Electronics and Telecommunications Research Institute ETRI Assigned to ELECTRONICS AND TELECOMMUNICATIONS RESEARCH INSTITUTE reassignment ELECTRONICS AND TELECOMMUNICATIONS RESEARCH INSTITUTE ASSIGNMENT OF ASSIGNORS INTEREST (SEE DOCUMENT FOR DETAILS). Original Assignee Electronics and Telecommunications Research Institute ETRI Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)Įlectronics and Telecommunications Research Institute ETRI ( en Inventor Byeong Cheol Choi Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.) Granted Application number US12/962,099 Other versions US8411964B2 Google Patents Method and apparatus for analyzing nudity of image using body part detection model, and method and apparatus for managing image database based on nudity and body partsĭownload PDF Info Publication number US20110135204A1 US20110135204A1 US12/962,099 US96209910A US2011135204A1 US 20110135204 A1 US20110135204 A1 US 20110135204A1 US 96209910 A US96209910 A US 96209910A US 2011135204 A1 US2011135204 A1 US 2011135204A1 Authority US United States Prior art keywords image body part nudity probability value detection model Prior art date Legal status (The legal status is an assumption and is not a legal conclusion. Google Patents US20110135204A1 - Method and apparatus for analyzing nudity of image using body part detection model, and method and apparatus for managing image database based on nudity and body parts US20110135204A1 - Method and apparatus for analyzing nudity of image using body part detection model, and method and apparatus for managing image database based on nudity and body parts
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