SPATIAL-DISTRIBUTION OF CURVE LENGTH - CONCEPT AND ESTIMATION

N ROBERTS*, LM CRUZORIVE

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The length of a curvilinear feature, such as a dendrite tree of a neuron, can, in principle, be estimated by the recent, non-invasive method of total vertical projections (TVPs). Curve length is a measure of size, but it reports nothing about curve shape. The shape of a tree-like structure can be described to some extent by the distribution of branch length in properly defined regions of three-dimensional (3-D) space. A definition of curve length distribution in three dimensions is proposed and implemented here on a human neuron. The relevant 3-D regions overlap after projection, and therefore the TVPs method cannot be used directly to estimate the corresponding feature lengths. However, using the ANALYZE(TM) software system running on a SUN(R)SPARC workstation, dendrite subsets sitting in predefined regions of space were rendered in different colours and measured separately by the TVPs method using a cycloid test system. In combination with non-invasive image acquisition and processing techniques, the length distribution concept is likely to be useful in the metrical analysis of either microscopic or macroscopic arborizations in a wide variety of contexts, including living cells and organisms.

Original languageEnglish
Pages (from-to)23-29
Number of pages7
JournalJournal of Microscopy
Volume172
Publication statusPublished - Oct 1993

Keywords

  • CONFOCAL MICROSCOPY
  • CURVE LENGTH
  • CYCLOIDS
  • NEURON DENDRITE
  • SPATIAL DISTRIBUTION OF LENGTH
  • STEREOLOGY
  • TOTAL VERTICAL PROJECTIONS
  • UNBIASED ESTIMATION

Fingerprint

Dive into the research topics of 'SPATIAL-DISTRIBUTION OF CURVE LENGTH - CONCEPT AND ESTIMATION'. Together they form a unique fingerprint.

Cite this