Skip to content
Research Article Open access CC BY 4.0

Mathematical Model of Projective Transformations for Image Normalization Based on the Properties of Projective Geometry

Rami Matarneh

Current Journal of Applied Science and Technology · pp. 1–8 · Published 9 Aug 2015

10.9734/BJAST/2015/18234

Abstract

This paper focuses on the development of new mathematical model for image normalization base on the projective geometry. For this purpose several decompositions of full projective group and their subgroups were developed that allow technical realization such as: displacement, compressions, oblique displacements, turns, and perspective transformations. The developed decompositions had been proved through perspective transformation which binds the affine and projective geometry using properties of the perspective transformations.

Centroaffine image normalization transformation group centroaffine transformation

References (16)

  1. 1 Fundamentals of digital image processing
  2. 2 Epipolar Geometry in Stereo, Motion and Object Recognition [DOI]
  3. 3 Relations between Ricci curvature and shape operator for submanifolds with arbitrary codimensions [DOI]
  4. 4 J -Orthogonal Matrices: Properties and Generation [DOI]
  5. 5 Generalized affine invariant image normalization [DOI]
  6. 6 RIEMANNIAN GEOMETRY OF LAGRANGIAN SUBMANIFOLDS [DOI]
  7. 7 OPC methods to improve image slope and process window [DOI]
  8. 8 Hyperbolic surfaces in centro-affine geometry [DOI]
  9. 9 Automatic detection of signs with affine transformation [DOI]
  10. 10 On invariants of curves in centro-affine geometry [DOI]
  11. 11 Improper affine hyperspheres with self-congruent center map [DOI]
  12. 12 An Immersion of an $n$-dimensional Real Space Form into an $n$-dimensional Complex Space Form [DOI]
  13. 13 Illumination Normalized Face Image for Face Recognition [DOI]
  14. 14 Mathematical aspects of image processing and computer vision 2003
  15. 15 Fundamentals of digital image processing [DOI]
  16. 16 Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry [DOI]

Cited by 0

No indexed citations yet.

Article metrics

Real usage data collected on this platform.

26

Page views

0

PDF downloads

8

Outbound clicks

0

Citations

Views over time

Views by country

Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".

Traffic sources

Referring site, by host.

Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.