Tight Cocone : A Water-tight Surface Reconstructor

Abstract

Surface reconstructionx1;x3;x2;x5;x4;x7;x6; from unorganized sample points is an important problem in computer graphics, computer aided design, medical imaging and solid modeling. Recently few algorithms have been developed that have theoretical guarantee of computing a topologically correct and geometrically close surface under certain condition on sampling density. Unfortunately, this sampling condition is not always met in practice due to noise, non-smoothness or simply due to inadequate sampling. This leads to undesired holes and other artifacts in the output surface. Certain CAD applications such creating a prototype from a model boundary require a water-tight surface, i.e., no hole should be allowed in the surface. In this paper we describe a simple algorithm called Tight Cocone that works on an initial mesh generated by a popular surface reconstruction algorithm and filled up all holes to reconstruct a water-tight surface. In doing so, it does not introduce any extra point and produces a triangulated surface interpolating the input sample points. In support of our methods we present experimental results with a number of difficult data sets.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 2002
Accession Number
AD1001182

Entities

People

  • Samrat Goswami
  • Tamal K. Dey

Organizations

  • Ohio State University

Tags

Communities of Interest

  • Biomedical

DTIC Thesaurus Topics

  • Algorithms
  • Artifacts
  • Boundaries
  • Computer Graphics
  • Computer-Aided Design
  • Computers
  • Data Sets
  • Diagnostic Imaging
  • Graphics
  • Guarantees
  • Models
  • Sampling
  • Universities

Fields of Study

  • Computer science

Readers

  • Approximation Theory.
  • Computer Vision.
  • Graph Algorithms and Convex Optimization.