Algebraic framework for fusing geometric constraints of vision and range sensor data

Koichiro Deguchi

Research output: Contribution to conferencePaper

4 Citations (Scopus)

Abstract

In this paper we propose a new framework for fusing multiple geometric sensor outputs to reconstruct 3-Dimensional target shapes. The proposed framework is of an application of Wu's mechanical theorem proving method in algebraic geometry. First we list up three groups of equations on the constraints. Next, we classify all the groups of equations into two sets, a set of hypotheses and a conjecture. Then, we apply Wu's method to prove that the hypotheses follow the conjecture and obtain pseudo-divided remainders of the conjectures, which represent new relations of geometric measures such as angles or lengths between 3-D space and their projected data on the sensors. Here, as an example, a typical case is considered where an image sensor and a range sensor are used together to reconstruct and recognize 3-D object shapes. By this method we obtained new geometrical relations for seven cases of geometrical models.

Original languageEnglish
Pages329-336
Number of pages8
Publication statusPublished - 1994 Dec 1
EventProceedings of the IEEE International Conference on Multisensor Fusion and Integration for Intelligent Systems - Las Vegas, NV, USA
Duration: 1994 Oct 21994 Oct 5

Other

OtherProceedings of the IEEE International Conference on Multisensor Fusion and Integration for Intelligent Systems
CityLas Vegas, NV, USA
Period94/10/294/10/5

ASJC Scopus subject areas

  • Software
  • Control and Systems Engineering

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    Deguchi, K. (1994). Algebraic framework for fusing geometric constraints of vision and range sensor data. 329-336. Paper presented at Proceedings of the IEEE International Conference on Multisensor Fusion and Integration for Intelligent Systems, Las Vegas, NV, USA, .