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University of Illinois at Urbana-Champaign

Interpreting images of polyhedral objects in the presence of uncertainty

Abstract

dc:description

This thesis addresses various problems in computer vision which are related to the interpretation of images of polyhedral objects with a special emphasis on the effects of uncertainty. Its contributions span three areas: we first present an approach to the recovery of 3D shape from a single image using line-drawing analysis and complex reflectance models. The algorithm deals explicitly with uncertainty in vertex position. We then propose an algorithm for computing the finite-resolution aspect graph of polyhedral objects. For each region of the aspect graph a representative finite-resolution aspect is computed. Neighboring regions with identical finite-resolution aspects are merged producing the finite-resolution aspect graph. Finally, we develop a probabilistic approach to object recognition. Match hypotheses are ranked by the probability that they are correct. For each hypothesis the pose of the object is recovered and the region of the pose space compatible with the image uncertainty is computed. Hypotheses which match different features of the same model reinforce each other when the corresponding uncertainty regions in the pose space have a non-empty intersection. Sets of consistent hypotheses are ranked by probability that they are the correct interpretation of the features, producing an ordering of the possible interpretations. The three algorithms have been fully implemented and examples are presented.

Degree

thesis:*
Name thesis:degree_name
Ph.D.
Level thesis:degree_level
Dissertation
Discipline thesis:degree_discipline
Computer Science
Grantor
University of Illinois at Urbana-Champaign
Year dc:date
2011

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Shimshoni, Ilan Moshe
Contributors dc:contributor
  • Ponce, Jean

Subjects

dc:subject × 2

Rights

dc:rights
Statement dc:rights
  • Copyright 1995 Shimshoni, Ilan Moshe
Language dc:language
eng

Identifiers

dc:identifier.*
Identifier
AAI9624496
(UMI)AAI9624496
OAI identifier oai:identifier
oai:www.ideals.illinois.edu:2142/19070

Chain of custody

source
Harvested from
University of Illinois - Urbana-Champaign
Base URL
www.ideals.illinois.edu/oai-pmh
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
citation

Shimshoni, Ilan Moshe. Interpreting images of polyhedral objects in the presence of uncertainty. Dissertation thesis, University of Illinois at Urbana-Champaign, 2011. http://hdl.handle.net/2142/19070