Length Estimators for Digitized Contours L. Dorst, A. W. M. Smeulders In Computer Vision, Graphics and Image Processing 1987. [bibtex] [pdf] [url]

The estimation of the length of a continuous curve from discrete data is considered. For ideal straight chaincode strings, optimal estimators are given. Comparisons are performed with known methods and recommendations given. A sampling density vs. accuracy trade-off theorem is presented. The applicability to nonstraight strings is discussed. For curves that may be considered to be composed of circular arcs good length estimators are found.

@Article{DorstCVGIP1987,
  author       = "Dorst, L. and Smeulders, A. W. M.",
  title        = "Length Estimators for Digitized Contours",
  journal      = "Computer Vision, Graphics and Image Processing",
  number       = "3",
  volume       = "40",
  pages        = "311--333",
  year         = "1987",
  url          = "https://ivi.fnwi.uva.nl/isis/publications/1987/DorstCVGIP1987",
  pdf          = "https://ivi.fnwi.uva.nl/isis/publications/1987/DorstCVGIP1987/DorstCVGIP1987.pdf",
  has_image    = 1
}