Shape and Surface Reconstruction, Quantification and Deformation

Abstract

Research under this grant focused on the reconstruction and the representation of continuous shapes and objects. The primary data structure are meshes, and we study triangle meshes for surface and tetrahedron meshes for volume data. Beyond these two types, we obtained new results for constructing quadrangular meshes for surfaces. Our approach to these problems was fairly broad, ranging from problem modeling, to algorithm design, to implementing and experimenting, and to application finding and adaptation.

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Document Details

Document Type
Technical Report
Publication Date
Jan 08, 2003
Accession Number
ADA412896

Entities

People

  • Herbert Edelsbrunner
  • Ping Fu

Organizations

  • Duke University

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Additive Manufacturing
  • Algorithms
  • Computations
  • Computer Graphics
  • Computer Science
  • Construction
  • Geometric Forms
  • Geometry
  • Graphics
  • Lines (Geometry)
  • Mathematics
  • Shape
  • Three Dimensional
  • Topology
  • Triangles
  • Triangulation

Fields of Study

  • Computer science

Readers

  • Computational Modeling and Simulation
  • Distributed Systems and Data Platform Development
  • Graph Algorithms and Convex Optimization.