\`x^2+y_1+z_12^34\`
Advanced Search
Advanced Search
Advanced Search
This issue Previous Article Next Article
Article Contents
Article Contents
2010, Volume 4, Issue 2: 257-271. Doi: 10.3934/ipi.2010.4.257
This issue Previous Article Level set based brain aneurysm capturing in 3D Next Article HARDI data denoising using vectorial total variation and logarithmic barrier

Three-dimensional dental X-ray imaging by combination of panoramic and projection data

  • 1.

    Aalto University, Institute of Mathematics, P.O.Box 1100, FI-00076 Aalto

  • 2.

    PaloDex Group, P.O.Box 20, FI-04301 Tuusula

  • 3.

    University of Helsinki, Department of Mathematics and Statistics, FI-00014 Helsinki

  • 4.

    Department of Mathematics and Statistics, University of Helsinki

Received:  January 31, 2009
Revised:  November 30, 2009
Published:  April 2010
Abstract Related Papers Cited by
    Abstract
  • A novel three-dimensional dental X-ray imaging method is introduced, based on hybrid data collected with a dental panoramic device. Such a device uses geometric movement of the X-ray source and detector around the head of a patient to produce a panoramic image, where all teeth are in sharp focus and details at a distance from the dental arc are blurred. A digital panoramic device is reprogrammed to collect two-dimensional projection radiographs. Two complementary types of data are measured from a region of interest: projection data with a limited angle of view, and a panoramic image. Tikhonov regularization is applied to these data in order to produce three-dimensional reconstructions. The algorithm is tested with simulated data and real-world in vitro measurements from a dry mandible. Reconstructions from limited-angle projection data alone do provide the dentist with three-dimensional information useful for dental implant planning. Furthermore, adding panoramic data to the process improves the reconstruction precision in the direction of the dental arc. The presented imaging modality can be seen as a cost-effective alternative to a full-angle CT scanner.
    Mathematics Subject Classification: Primary: 92C55; Secondary: 65F22.

    Citation:
    shu

    \begin{equation} \\ \end{equation}
    • Related Papers
  • Cited by
  • Access History
  • 加载中
PDF
XML
Export Citation
SHARE
Email to a Friend

Article Metrics

HTML views() PDF downloads(79) Cited by(0)

Access History

Other Articles By Authors

Catalog

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return
    Site map Copyright © 2023 American Institute of Mathematical Sciences