Sound and robust solid modeling via exact real arithmetic and continuity

Abstract

Algorithms for solid modeling, i.e., Computer-Aided Design (CAD) and computer graphics, are often specified on real numbers and then implemented with finite-precision arithmetic, such as floating-point. The result is that these implementations do not soundly compute the results that are expected from their specifications.

Document Details

Document Type
Pub Defense Publication
Publication Date
Jul 26, 2019
Source ID
10.1145/3341703

Entities

People

  • Benjamin Sherman
  • Jesse Michel
  • Michael Carbin

Organizations

  • Massachusetts Institute of Technology
  • Office of Naval Research

Tags

Readers

  • Computer Programming and Software Development.
  • Computer Science.
  • Systems Analysis and Design