Representing images using points on image surfaces

Sheng-Jyh Wang*, Lun Chia Kuo, Hsin Haw Jong, Zong Han Wu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

14 Scopus citations


This paper presents a new approach to represent an image by "verge points" which are defined as high-curvature points on the image surface. This representation offers a compact and reversible way to preserve the essence of the original image. Various applications, such as compression, edge detection, image enhancement, and image editing, can be achieved based on this representation. In this paper, the whole procedure for verge point representation is presented. Based on these verge points, image reconstruction can be easily achieved via iterative linear interpolation. These extracted verge points with compatible properties are further linked into verge curves to offer more compact representation. Progressive representation is also developed based on a multiscale extraction scheme. Some potentiai applications are then presented to demonstrate the versatility of this representation.

Original languageEnglish
Pages (from-to)1043-1056
Number of pages14
JournalIEEE Transactions on Image Processing
Issue number8
StatePublished - 1 Aug 2005


  • B-spline approximation
  • Differential geometry
  • Edge detection
  • Image compression
  • Image editing
  • Image enhancement
  • Image representation
  • Image surface

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