Multilocal creaseness based on the level-set extrinsic curvature

Research output: Contribution to journalArticleResearchpeer-review

93 Citations (Scopus)


Creases are a type of ridge/valley structures of an image characterized by local conditions. As creases tend to be at the center of anisotropic grey-level shapes, creaseness can be considered a measure of medialness, and therefore as useful in many image analysis problems. Among the several: possibilities, a priori the creaseness based on the level-set extrinsic curvature (LSEC) is especially interesting due to its invariance properties. However, in practice, it produces a discontinuous response with a badly dynamic range. The same problems arise with other related creaseness measures proposed in the literature. In this paper, we argue that these problems are due to the very local definition of the LSEC. Therefore, rather than designing an nd hoc solution, we propose two new multilocal creaseness measures that we will show to be free of discontinuities and to have a meaningful dynamic range of response. Still, these measures are based on the LSEC idea, to preserve its invariance properties. We demonstrate the usefulness of the new creaseness measures in the context of two applications that we are currently developing in the field of 3D medical image analysis, the rigid registration of CT and MR head volumes and the orientation analysis of trabecular bone patterns. (C) 2000 Academic Press.
Original languageEnglish
Pages (from-to)111-144
Number of pages34
JournalComputer Vision and Image Understanding
Issue number2
Publication statusPublished - Feb 2000


  • Creases
  • Curvature
  • Divergence
  • Registration
  • Structure tensor
  • Trabecular bone


Dive into the research topics of 'Multilocal creaseness based on the level-set extrinsic curvature'. Together they form a unique fingerprint.

Cite this