Improvements of aspect identification method by matrices

Hiroyasu Sakamoto

Research output: Contribution to journalArticle

Abstract

In single-view methods based on three-dimensional (3D) object geometry models in computer vision, a central problem is determining the correspondence of feature points in the model and the observed image. In this paper the author investigates the features of aspect identification methods used to solve this problem efficiently using matrices, then describes the causes of misidentifications. In addition, the author proposes a new identification matrix which improves this identification method statistically by using singular value decomposition, and general eigenvalues and eigenvectors, demonstrating the validity of the method using mathematical experiments. These improvements allow for a reduction of the computational burden for online identification of aspects while at the same time reducing the misidentification rate. This method can be an identification standard for norms of vectors and matrices. As a result, it is ideal for high-speed processing using hardware and for use in parallel systems.

Original languageEnglish
Pages (from-to)75-84
Number of pages10
JournalSystems and Computers in Japan
Volume33
Issue number13
DOIs
Publication statusPublished - Nov 30 2002

Fingerprint

Singular value decomposition
Eigenvalues and eigenfunctions
Computer vision
Eigenvalues and Eigenvectors
Hardware
Feature Point
Parallel Systems
Geometry
Computer Vision
Processing
High Speed
Correspondence
Norm
Experiments
Three-dimensional
Model
Experiment
Object
Standards

All Science Journal Classification (ASJC) codes

  • Hardware and Architecture
  • Information Systems
  • Theoretical Computer Science
  • Computational Theory and Mathematics

Cite this

Improvements of aspect identification method by matrices. / Sakamoto, Hiroyasu.

In: Systems and Computers in Japan, Vol. 33, No. 13, 30.11.2002, p. 75-84.

Research output: Contribution to journalArticle

Sakamoto, Hiroyasu. / Improvements of aspect identification method by matrices. In: Systems and Computers in Japan. 2002 ; Vol. 33, No. 13. pp. 75-84.
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