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Herein we formalize the Brown/Washington University model of anatomy following the global pattern theory introduced in [1, 2], in which anatomies are represented as deformable templates, collections of 0, 1, 2, 3-dimensional manifolds. Typical structure is carried by the template with the variabilities accommodated via the application of random transformations to the background manifolds. The anatomical model is a quadruple ( Ω , H , I , P ) \\left ( \\Omega , H, I, P \\right ) , the background space Ω = ˙ U α M α \\Omega \\dot = {U_\\alpha }{M_\\alpha } of 0, 1, 2, 3-dimensional manifolds, the set of diffeomorphic transformations on the background space H : Ω ↔ Ω {H} : \\Omega \\leftrightarrow \\Omega , the space of idealized medical imagery I I , and P P the family of probability measures on H H . The group of diffeomorphic transformations H H is chosen to be rich enough so that a large family of shapes may be generated with the topologies of the template maintained. For normal anatomy one deformable template is studied, with ( Ω , H , I ) \\left ( \\Omega , H, I \\right ) corresponding to a homogeneous space [3], in that it can be completely generated from one of its elements, I = H I t e m p , I t e","publishedDate","1998-12-01","publishedYear",1998,"venue","Quarterly of Applied Mathematics","citationCount",632,"authors","keywords",[71,72,73],"pdfUrl","https://www.ams.org/qam/1998-56-04/S0033-569X-1998-1668732-7/S0033-569X-1998-1668732-7.pdf","topVenue",false,"displayName","displayDescription","Anatomy and Medical Technology","Medical Image Segmentation Techniques","Medical Imaging and Analysis","mutations",[],"queries",[78],{"_79":80,"_81":82,"_83":84,"_85":86},"dehydratedAt",1782442515550,"state",{"_88":89,"_90":26,"_91":80,"_92":-5,"_93":94,"_95":94,"_96":94,"_97":-5,"_98":-5,"_99":68,"_35":100,"_101":102},"queryKey",[87,19,14,16],"queryHash","[\"portal\",\"entity\",\"paper\",\"paper_W1503893179\"]","portal","data",{"_19":20,"_103":104,"_105":106,"_107":108,"_109":110,"_18":111,"_62":112},"dataUpdateCount","dataUpdatedAt","error","errorUpdateCount",0,"errorUpdatedAt","fetchFailureCount","fetchFailureReason","fetchMeta","isInvalidated","success","fetchStatus","idle","entityType","Paper","taxonomies",[150,151,152],"events",[],"articles",[],[135],[113,114],{"_15":129,"_29":130,"_31":-5,"_32":-5,"_33":-5,"_34":-5,"_35":36,"_37":131,"_39":-5,"_40":41,"_42":132,"_44":133,"_120":134,"_51":-5,"_121":-5,"_122":-5,"_123":-5,"_60":-5,"_124":-5,"_125":-5,"_126":-5,"_127":-5,"_128":-5,"_69":130,"_70":-5},{"_15":115,"_29":116,"_31":-5,"_32":-5,"_33":-5,"_34":-5,"_35":36,"_37":117,"_39":-5,"_40":41,"_42":118,"_44":119,"_120":-5,"_51":-5,"_121":-5,"_122":-5,"_123":-5,"_60":-5,"_124":-5,"_125":-5,"_126":-5,"_127":-5,"_128":-5,"_69":116,"_70":-5},"person_A5078333341","Ulf Grenander","{\"openalex\":\"A5078333341\"}","2026-05-14T13:39:57.191932067","2026-05-21T17:40:55.194557704","orcid","affiliation","researchArea","paperCount","homepage","linkedin","twitter","github","hindex","person_A5033151214","Michael I. 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Computational anatomy: an emerging discipline 论文

Computational anatomy: an emerging discipline · 相关技术

相关技术