A general framework for low level vision

Nir Sochen, Ron Kimmel, Ravikanth Malladi

Research output: Contribution to journalArticlepeer-review


We introduce a new geometrical framework based on which natural flows for image scale space and enhancement are presented. We consider intensity images as surfaces in the (x, I) space. The image is, thereby, a two-dimensional (2-D) surface in three-dimensional (3-D) space for gray-level images, and 2-D surfaces in five dimensions for color images. The new formulation unifies many classical schemes and algorithms via a simple scaling of the intensity contrast, and results in new and efficient schemes. Extensions to multidimensional signals become natural and lead to powerful denoising and scale space algorithms.

Original languageEnglish
Pages (from-to)310-318
Number of pages9
JournalIEEE Transactions on Image Processing
Issue number3
StatePublished - 1998


  • Color image processing
  • Image enhancement
  • Image smoothing
  • Nonlinear image diffusion
  • Scale-space


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