ON THE PENROSE HYPOTHESIS ON FINGERPRINT PATTERNS

Authors
MARDIA KV LI Q HAINSWORTH TJ
Citation
Kv. Mardia et al., ON THE PENROSE HYPOTHESIS ON FINGERPRINT PATTERNS, IMA journal of mathematics applied in medicine and biology, 9(4), 1992, pp. 289-294
Citations number
4
Categorie Soggetti
Mathematical Methods, Biology & Medicine","Biology Miscellaneous","Mathematics, Miscellaneous
Journal title
IMA journal of mathematics applied in medicine and biology → ACNP
ISSN journal
02650746
Volume
9
Issue
4
Year of publication
1992
Pages
289 - 294
Database
ISI
SICI code
0265-0746(1992)9:4<289:OTPHOF>2.0.ZU;2-O
Abstract
Penrose hypothesized that fingerprint patterns such as loops, whorls, etc. are formed by ridges corresponding to the lines of curvature of t he skin of the embryo at the time when the ridges were being formed. U nder this hypothesis, Smith (1979) has shown analytically how some pat terns emerge. In this paper it is shown that (i) Smith's differential equation has an exact solution and (ii) the extension given here suppl ies the remaining important patterns.