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Machine Learning Methods to Optimize the Geometry and Topology of Meshes
Machine Learning Methods to Optimize the Geometry and Topology of Meshes
Machine Learning Methods to Optimize the Geometry and Topology of Meshes

상세정보

자료유형  
 학위논문 서양
최종처리일시  
20250211151435
ISBN  
9798384447771
DDC  
621
저자명  
Narayanan, Arjun.
서명/저자  
Machine Learning Methods to Optimize the Geometry and Topology of Meshes
발행사항  
[Sl] : University of California, Berkeley, 2024
발행사항  
Ann Arbor : ProQuest Dissertations & Theses, 2024
형태사항  
125 p
주기사항  
Source: Dissertations Abstracts International, Volume: 86-03, Section: B.
주기사항  
Advisor: Persson, Per-Olof;Shadden, Shawn.
학위논문주기  
Thesis (Ph.D.)--University of California, Berkeley, 2024.
초록/해제  
요약Meshes are used ubiquitously in engineering for representing geometries, performing computational simulations, and generating computer graphics renderings. Automatically generating suitable meshes for downstream applications remains a key bottleneck in many workflows and often requires significant manual intervention. It is challenging to optimize mesh data-structures because they can be highly unstructured in their most general form.A mesh has two fundamental attributes - geometry and topology. Geometry deals with the position and shape of objects in space. Topology is concerned with the connectivity of mesh elements. It is essential to optimize both of these attributes to generate a desirable mesh for a target application such as simulation. This dissertation explores machine learning methods to optimize both of these attributes.The first part of this dissertation is concerned with mesh topology. We will describe a deep reinforcement learning framework to optimize the topology of 2D meshes using elementary mesh editing operations. The framework is trained purely in self-play reinforcement learning to optimize a given user defined objective function. We describe a novel neural network architecture that is able to encode the local topology of a mesh around a given mesh neighborhood. Subsequently, the neural network is trained to predict a probability distribution over the local action space in order to maximize the cumulative reward as prescribed by the given objective function. The agent is trained on randomly generated 2D polygonal shapes. We demonstrate generalization to inputs that were never seen during training. The proposed framework is particularly effective at coarse block decomposition of polygonal shapes where the aim is to minimize the number of irregular vertices in the mesh.We will then tackle the problem of geometry. We describe a deep learning method to automatically generate patient-specific, simulation ready 3D surface meshes of the human heart directly from clinical imaging. The proposed method is a two-stage mesh deformation process that transforms a given template mesh to match the underlying target geometry in the image data. The first stage consists of a learned affine transformation conditioned on the input image. This stage is trained to roughly align the template in terms of scale and orientation to the image data. The second stage consists of a learned local diffeomorphic deformation field conditioned on the image and the current location of the template. This stage improves the accuracy of the prediction by capturing finer details of the target geometry. We describe a novel loss function derived from the kinematics of motion of continuous bodies that penalizes undesirable phenomenon such as surface interpenetration resulting in anatomically accurate, physically realistic, simulation ready meshes. The proposed framework is validated against a large held-out test dataset and compared with prior state-of-the-art along a variety of accuracy and quality metrics.
일반주제명  
Mechanical engineering
일반주제명  
Computer science
일반주제명  
Applied mathematics
키워드  
Machine learning
키워드  
Mesh generation
키워드  
Reinforcement learning
키워드  
Mesh topology
기타저자  
University of California, Berkeley Mechanical Engineering
기본자료저록  
Dissertations Abstracts International. 86-03B.
전자적 위치 및 접속  
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MARC

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■040    ▼aMiAaPQ▼cMiAaPQ
■0820  ▼a621
■1001  ▼aNarayanan,  Arjun.
■24510▼aMachine  Learning  Methods  to  Optimize  the  Geometry  and  Topology  of  Meshes
■260    ▼a[Sl]▼bUniversity  of  California,  Berkeley▼c2024
■260  1▼aAnn  Arbor▼bProQuest  Dissertations  &  Theses▼c2024
■300    ▼a125  p
■500    ▼aSource:  Dissertations  Abstracts  International,  Volume:  86-03,  Section:  B.
■500    ▼aAdvisor:  Persson,  Per-Olof;Shadden,  Shawn.
■5021  ▼aThesis  (Ph.D.)--University  of  California,  Berkeley,  2024.
■520    ▼aMeshes  are  used  ubiquitously  in  engineering  for  representing  geometries,  performing  computational  simulations,  and  generating  computer  graphics  renderings.  Automatically  generating  suitable  meshes  for  downstream  applications  remains  a  key  bottleneck  in  many  workflows  and  often  requires  significant  manual  intervention.  It  is  challenging  to  optimize  mesh  data-structures  because  they  can  be  highly  unstructured  in  their  most  general  form.A  mesh  has  two  fundamental  attributes  -  geometry  and  topology.  Geometry  deals  with  the  position  and  shape  of  objects  in  space.  Topology  is  concerned  with  the  connectivity  of  mesh  elements.  It  is  essential  to  optimize  both  of  these  attributes  to  generate  a  desirable  mesh  for  a  target  application  such  as  simulation.  This  dissertation  explores  machine  learning  methods  to  optimize  both  of  these  attributes.The  first  part  of  this  dissertation  is  concerned  with  mesh  topology.  We  will  describe  a  deep  reinforcement  learning  framework  to  optimize  the  topology  of  2D  meshes  using  elementary  mesh  editing  operations.  The  framework  is  trained  purely  in  self-play  reinforcement  learning  to  optimize  a  given  user  defined  objective  function.  We  describe  a  novel  neural  network  architecture  that  is  able  to  encode  the  local  topology  of  a  mesh  around  a  given  mesh  neighborhood.  Subsequently,  the  neural  network  is  trained  to  predict  a  probability  distribution  over  the  local  action  space  in  order  to  maximize  the  cumulative  reward  as  prescribed  by  the  given  objective  function.  The  agent  is  trained  on  randomly  generated  2D  polygonal  shapes.  We  demonstrate  generalization  to  inputs  that  were  never  seen  during  training.  The  proposed  framework  is  particularly  effective  at  coarse  block  decomposition  of  polygonal  shapes  where  the  aim  is  to  minimize  the  number  of  irregular  vertices  in  the  mesh.We  will  then  tackle  the  problem  of  geometry.  We  describe  a  deep  learning  method  to  automatically  generate  patient-specific,  simulation  ready  3D  surface  meshes  of  the  human  heart  directly  from  clinical  imaging.  The  proposed  method  is  a  two-stage  mesh  deformation  process  that  transforms  a  given  template  mesh  to  match  the  underlying  target  geometry  in  the  image  data.  The  first  stage  consists  of  a  learned  affine  transformation  conditioned  on  the  input  image.  This  stage  is  trained  to  roughly  align  the  template  in  terms  of  scale  and  orientation  to  the  image  data.  The  second  stage  consists  of  a  learned  local  diffeomorphic  deformation  field  conditioned  on  the  image  and  the  current  location  of  the  template.  This  stage  improves  the  accuracy  of  the  prediction  by  capturing  finer  details  of  the  target  geometry.  We  describe  a  novel  loss  function  derived  from  the  kinematics  of  motion  of  continuous  bodies  that  penalizes  undesirable  phenomenon  such  as  surface  interpenetration  resulting  in  anatomically  accurate,  physically  realistic,  simulation  ready  meshes.  The  proposed  framework  is  validated  against  a  large  held-out  test  dataset  and  compared  with  prior  state-of-the-art  along  a  variety  of  accuracy  and  quality  metrics.
■590    ▼aSchool  code:  0028.
■650  4▼aMechanical  engineering
■650  4▼aComputer  science
■650  4▼aApplied  mathematics
■653    ▼aMachine  learning
■653    ▼aMesh  generation
■653    ▼aReinforcement  learning
■653    ▼aMesh  topology
■690    ▼a0548
■690    ▼a0984
■690    ▼a0364
■71020▼aUniversity  of  California,  Berkeley▼bMechanical  Engineering.
■7730  ▼tDissertations  Abstracts  International▼g86-03B.
■790    ▼a0028
■791    ▼aPh.D.
■792    ▼a2024
■793    ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17161715▼nKERIS▼z이  자료의  원문은  한국교육학술정보원에서  제공합니다.

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