Nonlinear scale spaces by iterated filtering of images

Kiichi Urahama, Kohei Inoue

Research output: Contribution to journalArticlepeer-review


Computation of scale space images requires numerical integration of partial differential equations, which demands large computational costs especially in nonlinear cases. In this paper, we present a computational scheme for nonlinear scale spaces based on iterated filtering of original images. This scheme is found to be a special case of numerical integration with a particularly adapted integration steplength. We show the stability of the iteration with local windows and that with global ones and analyze the deformation of edge waveforms in the filtering. Computational costs are evaluated experimentally for both local and global windows and finally we apply the nonlinear multi-scale smoothing to contrast enhancement of images.

Original languageEnglish
Pages (from-to)1191-1197
Number of pages7
JournalIEICE Transactions on Information and Systems
Issue number7
Publication statusPublished - Jul 2003

All Science Journal Classification (ASJC) codes

  • Software
  • Artificial Intelligence
  • Electrical and Electronic Engineering
  • Computer Vision and Pattern Recognition
  • Hardware and Architecture


Dive into the research topics of 'Nonlinear scale spaces by iterated filtering of images'. Together they form a unique fingerprint.

Cite this