Biometric Animals

Manfred Bromba (http://www.bromba.com/contacte.htm)
Permanent address for citation: urn:nbn:de:0125-20080325137
First issue: 2007-07-04 - Last update: 2008-01-27
Many animals may be recognized by individual biometric characteristics in just the same way as human fingerprints. Since human fingerprints are relatively small and hidden characteristics, they cannot be used by other persons for mutual visual identification. In contrast to human fingerprints, there are animal skin patterns which are large enough to be used for mutual recognition without technical aids - at least theoretically. This investigation uses open internet sources such as Wikipedia and FishBase to find out and to show which animals are candidates for biometric identification using large-scale minutiae-type characteristics. Detailed information of the nature of these characteristics are subject to deeper animal-specific investigations and are not covered here. This contribution will be updated occasionally. The focus is on minutiae based animal characteristics.

Introduction

Human fingerprints

The unique pattern of the human fingerprint is one of the reasons, why this biometric characteristic [1, 2] has already been used for more than a century in criminal investigations. Today, as inexpensive electronic sensors are available for capturing a life fingerprint, fingerprint recognition has established as an alternative convenient and cost-saving method for determining and verifying the identity of a human person in various applications.
It is the friction ridge structure of the skin surface especially near the finger tips which is called fingerprint. The ridge lines are separated by valleys resp. grooves. 
Human fingerprint structure
Author: unknown
License: GFDL
The inter-ridge distance is nearly constant for a specific finger. What attracts attention is the varying curvature of the ridge lines. An advantage of this structure seems to be the support when gripping things by improved friction and an improvement of the finger's sense of touch. Fingerprint structures are not unique for fingers, they are also found at your toes. Furthermore, there are a couple of animals which also show them. Examples are known for gorillas, apes, and even opossums [3].

What fingerprints make distinguishable

Fingerprints have proven unique not even for different individuals but even for different fingers. (To be more precise: Up today, no two fingerprints have been found which are exactly equal.) What exactly are the characteristics which make a fingerprint unique? When comparing fingerprints, (at least) three different types of characteristics can be found:
1. Coarse characteristics (loops, arch, whorls, ...) The coarse characteristics are given by the curvature of the ridge lines. The number of different features per finger is quite limited (at least three, generally not more than about eight [4]). These characteristics were the first to be used for manual classification of fingerprints since each of the ten fingers may have different features.
Fingerprint arch
License: Public Domain
Origin: Arch.jpg
Fingerprint loop
License: Public Domain
Origin: Loop.jpg
Fingerprint whorl
License: Public Domain
Origin: Whorl.jpg
2. Fine characteristics (minutiae) The ridge line curvature described by the coarse characteristics has an important consequence when we combine it with the observation that the ridge density is nearly constant for a specific finger. For example, when looking at the arch formation, both conditions probably only can be fulfilled if new ridge lines are created. This could (but need not) be an explanation for the fact that the ridges are no never-ending parallel running lines. Instead, there are line endings and bifurcations. To each line ending and bifurcation a point may be assigned which marks a minutia. The arrangement of the minutiae, whose position may not be equally dense distributed, are unique for each finger and thus for each person. This is best visualized by the constellations in a starry sky (such as the Orion) which build unique figures.
To each minutia, subfeatures may be attributed which provide additional unique information. Besides position on a 2D surface, this may be the direction of the corresponding line, the type (ending vs. bifurcation) etc.
3. Pore structure as micro characteristics. On the crest line of the ridges, further points can be localized which stem from the perspiratory glands (pores) of the skin. The arrangement is as unique as the minutiae structure but is seldom used for identification because of the difficulty to detect them reliably under real-life conditions. 
Magnified pore structure in a captured fingerprint image
Author: Manfred Bromba
License: limited to this article
Origin: poren.jpg
For electronic fingerprint recognition, minutia have proven most useful and will be mainly considered in this article. During extraction of
the minutiae positions, one step of electronic processing will be to deliver a binarized image of the ridge structure which clearly shows the nature of fingerprint patterns and its minutiae: 
Binarized fingerprint image
Author: Manfred Bromba
License: limited to this article
Origin: this article

Genotypic and randotypic characteristics

For a deeper understanding of the usefulness of a biometric characteristic as unique identifier it may help to consider the origin of the differences between individuals. For physiological characteristics such as fingerprint, there are two mechanisms which control diversity, namely random and environmental influences during embryonic growth and heredity. Normally, each physiological biometric characteristic is subject to both influences. Depending on the type of characteristic, one of the influences will dominate. For fingerprints, coarse characteristics have strong genotypic contributions. Minutia are predominantly randotypic in nature and cause much of the uniqueness in a fingerprint. If random processes are responsible for the distinctiveness of a biometric characteristic, the characteristic is called mainly randotypic (which is related to phenotypic [Wikipedia] in the sense that randotype is something like the difference between phenotype and genotype)). If a biometric characteristic mainly follows hereditary disposition, it is called mainly genotypic. (Altogether, three parts determine the origin of each (natural) biometric characteristic in different shares: randotypic, genotypic, and behavioral)
Both purely randotypic characteristics and purely genotypic characteristics may theoretically approach ideal uniqueness, with only one exception: monozygotic twins and clones. Only the randotypic part of a biometric characteristic is able to distinguish between monozygotic twins, the genotypic parts by definition cannot. For example, DNA as a biometric characteristic is nearly completely genotypic. As a result, one cannot distinguish between monozygotic twins today on the basis of DNA profiling (except in the seldom case of mutations which are randotypic).
We have seen that a good proof for randotypic parts in a characteristic is when even monozygotic twins have different features. But there is still an easier method which can prove this in many cases. Most creatures have some kind of bodily symmetry. As a rule of thumb, randotypic parts of a biometric characteristic do not follow the body symmetry! For example, the fingers of the right and left hand do not show the same minutiae patterns. In this way, it should be possible to find out the nature of a characteristic by simply investigating single individuals without need for monozygotic twins. This will be explained using the examples in the next section.

Morphogenesis of biometric characteristics

Morphogenesis [Wikipedia] is the term used in science for the development of biological (and other) structures and characteristics. Interestingly, for most animal characteristics shown in this publication, there exist more and less simple models which are able to simulate pattern formation [Wikipedia]. Such a model can be, for example, a set of differential equations or a cellular automaton [Wikipedia]. The first model being able to describe minutiae patterns has been published by Alan Turing [Wikipedia], an English mathematician, logician, and cryptographer. Another model has been proposed by A. Gierer and H. Meinhardt [Scholarpedia].
Artificial pattern
Author: Danwills
License: Public Domain
Origin: Wikipedia
The pattern above has been created by repeated blurring and sharpening a comic image. Although such a process hardly describes the reality, the pattern has some impressive similarities with certain animal patterns.
If the pattern formation of an animal can be described by the same model or process as for all other individuals of this species, the question arises, why all patterns are different except for the structure type. The reason is that the final fine pattern strongly depends on the initial conditions and the boundary conditions. The initial condition may be a random pattern, in which even small changes may force large variations in the final pattern, if the model is nonlinear. (Such effects are well known from Chaos Theory [Wikipedia].) For an illustration see Figure 2 of [Scholarpedia]. A boundary condition may be an external environmental condition (e.g., temperature) or the shape of the animal. 

The Zebra

The zebra is the most obvious example for an animal with minutiae based markings. The minutiae are easily recognized by human inspection. As the following images show, there is some evidence that the pattern of the Zebra's fur has randotypic parts. The first two images show the same Zebra from both sides. One image has been mirrored to simplify comparison. It is easily seen that there is no exact body symmetry in the minutiae pattern. This argues for the randotypic nature. Nevertheless, there seem to be strong genotypic parts. This especially effects the distribution of the minutiae density and the "ridge" density. 
Zebra
Author: Manfred Bromba
License: Public Domain
Origin: this article
The next image shows a top view of the same Zebra to verify the missing symmetry of the minutiae:
Zebra
Author: Manfred Bromba
License: Public Domain
Origin: this article
The following image shows a different Zebra, but most probably from the same family. Again, the minutiae pattern is different while certain "coarse" characteristics such as the distribution of the stripe distance seem to be genotypic. Together with the fact that this kind of Zebra has numerous minutiae, it should be possible to uniquely identify each different Zebra.
Zebra
Author: Manfred Bromba
License: Public Domain
Origin: this article

Fishes

All the following images show a collection of fishes as examples for minutiae based skin markings. As a precondition, the markings must show stripes. Since the circumstances of most image shots are not accessible, scientific conclusions are hardly possible in most cases. It will be left to other researches to prove uniqueness of the pattern for each species.
Acanthurus dussumieri
Author: Stan Shebs
License:  GFDL
Both head and body of this Acanthurus dussumieri show minutiae-type structures, however with different ridge density.
Acanthurus lineatus
Author: eNil
License:  cc-by-2.0
The line structures of the Acanthurus lineatus shown above and in the following two images contain a few minutiae which seem to behave different for different fishes.
Acanthurus lineatus
Author: Robert Patzner
License: personal permission
Acanthurus lineatus
Author: Ewa Barska
License:  GFDL
Acanthurus sohal
Author: BS Thurner Hof
License:  GFDL
The minutiae in the line structure are crowded on the head and top of this and the following Acanthurus sohal.
Acanthurus sohal
Author: Stan Shebs
License:  GFDL
Anisotremus virginicus
Author: unknown
License:  GFDL or cc-by-sa 2.5
The Anisotremus virginicus seems to be a counterexample for the assumption that minutiae always must be randotypic. At least in the above and the following images, the pattern seems to be the same for all individuals.
Anisotremus virginicus
Author: cralize
License:  GFDL or cc-by-sa 2.5
Balistapus undulatus
Author: Robert Patzner
License: personal permission
Balistapus undulatus shows minutiae-like structures near the eyes.
Bodianus loxozonus
Author: Leonard Low
License:  cc-by-2.0
Although the lines are broken for this Bodianus loxozonus, a few minutiae can easily be found on the body and the head. If the number of minutiae are sufficient for unique identification, may be challenged.
Chaetodon auriga
Author: unknown
License:  SXC
Chaetodon auriga is a good example for individuals with different development of biometric characteristics. While the rear fish shows a sophisticated minutiae structure, the front fish does only posses a regular pattern - at least at the camera side.
Chaetodon capistratus
Author: Laszlo Ilyes
License:  Public Domain
Here we have a further counterexample that not every fish with minutiae seems to have a distinct pattern.
Chaetodontoplus septentrionalis
Author: Derek Ramsey
License:  GFDL & CC
Chaetodontoplus septentrionalis show certain minutiae outside the central part of the body.
Coris ballieui
Author: unknown
License:  Public Domain
The drawing of Coris ballieui suggests that all parts of the body has different minutiae-like structures.
Ctenochaetus hawaiiensis
Author: BS Thurner Hof
License:  GFDL
Ctenochaetus hawaiiensis, striatus, and strigosus (next two images) are beautiful examples for minutiae-rich structures.
Ctenochaetus striatus
Author: Robert Patzner
License: personal permission
Ctenochaetus strigosus
Author: Stan Shebs
License:  GFDL
Epinephelus caninus
Author: Robert Patzner
License: personal permission
This Epinephelus caninus shows a very fine ridge structure which is hardly recognized.
Gonioplectrus hispanus
Author: unknown
License:  Public Domain
At least this specimen of Gonioplectrus hispanus features a minutiae structure, but possibly not distinctive enough for unique recognition.
Haemulon flavolineatum
Author: Trisha M Shears
License:  Public Domain
From the top view of Haemulon flavolineatum it becomes apparent that the minutiae structure of its stripe pattern should to be mainly randotypic.
Haemulon sciurus
Author: Laszlo Ilyes
License:  cc-by-2.0
Haemulon sciurus shows minutiae bifurcations as well as line endings.
Heros serverus
Author: Trisha M Shears
License:  Public Domain
This most probably different specimen of Heros serverus shows the same coarse structure than the preceding one. That is, the question if this pattern is only accidentally equal or shows distinctive properties remain open.
Lutjanus kasmira
Author: Ryan Oelke
License:  cc-by-sa-2.0
The fine bottom structure clearly shows minutiae behavior!
Novaculichthys taeniourus
Author: Jenny Huang
License:  cc-by-2.0
It seems to be the dorsal fin of Novaculichthys taeniourus which shows distinctive structures.
Panaque nigrolineatus
Author: Lcamtuf
License: GFDL and cc-by-sa 2.5
Panaque nigrolineatus is characterized by a high degree of similarity of its skin pattern with the zebra, see also next two images.
Panaque nigrolineatus
Author: Neale Monks
License:  GFDL
Panaque nigrolineatus
Author: Neale Monks
License:  GFDL
Plectorhinchus lineatus
Author: Richard Ling
License:  cc-by-sa-2.0
The top minutiae pattern of Plectorhinchus lineatus is a good candidate for unique identification
Plectorhinchus orientalis / vittatus
Author: Randall, J.E.
License: personal permission
Origin: Plori_u2.jpg
Although this Plectorhinchus orientalis does not show typical minutiae, there are indeed certain specimen which do, see http://zipcodezoo.com/Animals/P/Plectorhinchus_vittatus.asp. For a unique identification by the body pattern, the number of minutiae seems to be too low.
Plectorhinchus orientalis
Author: Bryan Harry
License:  Public Domain
The head pattern of this Plectorhinchus orientalis shows a higher minutiae density than the body.
Pomacanthus imperator
Author: Manfred Bromba
License:  Public Domain
Origin: this publication
From the Pomacanthus imperator above it was possible to take a shot from both sides. Obviously, the minutiae pattern does not follow bodily symmetry, thus being a candidate for randotypic formation according to our rule of thumb.
Pomacanthus imperator
Author: Robbie N. Cada
License:  Public Domain
Origin: Poimp_u0.gif
Pomacanthus imperator is a good example for the fact that certain individuals only show a small number of distinctive markings compared to other ones. The drawings above even show different coarse characteristics similar to those of fingerprints!
Pomacanthus imperator
Author: Mohammed Al Momany
License:  Public Domain
Pygoplytes diacanthus
Author: unknown
License:  SXC
This Pygoplytes diacanthus shows minutiae structures in the red line structure at its anal fin. (The red color seems not to be typical for all members of this species.)
Sarpa salpa
Author: Robert Patzner
License: personal permission
Sarpa salpa is a nice example for a minutiae-like structure with low individuality. That is, in contrast to fingerprint there need not be a tight correspondence between randotype and minutiae and ridge structure!
Siganus doliatus
Author: Leonard Low
License:  CC by 2.0
This specimen of Siganus doliatus provides a very clear minutiae structure.
Symphorichthys spilurus
Author: Liné1
License:  GFDL & CC
The line structure of Symphorichthys spilurus shows some similarity with Haemulon sciurus.
Symphorichthys spilurus
Author: Stan Shebs
License:  GFDL
Symphorichthys spilurus
Author: Stan Shebs
License:  GFDL
Symphorichthys spilurus
Author: Strobilomyces
License:  GFDL
Symphysodon aequifasciatus
Author: Anka Zolnierzak
License:  SXC
Symphysodon aequifasciatus as well as Symphysodon discus possess a rich minutia pattern, see the following pictures.
Symphysodon aequifasciatus
Author: Patrick Farrelly
License:  Public Domain
Symphysodon aequifasciatus
Author: M. Kraus & Waugsberg
License:  GFDL and cc-by-sa 2.5
Symphysodon aequifasciatus
Author: Discus
License:  GFDL
Symphysodon aequifasciatus
Author: M. Kraus
License:  GFDL
Symphysodon discus
Author: Artigas Azas, J.M.
License: personal permission
Origin: Sydis_u3.jpg
Thalassoma lunare
Author: Leonard Low
License:  CC
It's not know to the author if this and the following Thalassoma lunare are the same individual. At least the pattern upside the eye seems to show a significant difference.
Xanthichthys auromarginatus
Author: Robert Patzner
License: personal permission
Although Xanthichthys auromarginatus only shows a dotted line structure, minutiae are easily located.
Thalassoma lunare
Author: Leonard Low
License:  CC
Zebrasoma desjardinii
Author: Stan Shebs
License:  GFDL
Zebrasoma desjardinii which bears the Zebra in its name, shows a fine pattern with minutiae-type line pattern. Both bifurcations and line endings appear.
Zebrasoma desjardinii
Author: BS Thurner Hof
License: GFDL
If this and the next Zebrasoma desjardinii are the same individual, this would suggest a randotypic origin of the pattern since there is no symmetry found.
Zebrasoma desjardinii
Author: BS Thurner Hof
License:  GFDL
Zebrasoma xanthurum 
Author: Stan Shebs
License:  GFDL
This image shows two Zebrasoma xanthurum. Remarkable is the fact that the specimen to the right, in contrast to the second one, has only a weak minutiae-type pattern available. To see the difference more clearly, the Zebrasoma xanthurum to the left has been zoomed in, see next photo. This corresponds to human biometric characteristics which, in minor cases, are also not such developed that they can be measured without problems.
Zebrasoma xanthurum (zoomed in) 
Author: Stan Shebs
License:  GFDL

Fingerprint Cyphoma

The fingerprint cyphoma (cyphoma signatum) is a snail with shell. The mellow body and especially the shell shows minutiae structures in highest perfection and unique beauteousness. As most snail shells, there is no bodily symmetry which may apply to our rule of thumb for randotypes. Following, the best images from the internet have been collected.
Cyphoma signatum
Author: ©Jim Lyle
License: personal permission
Origin: Jim Lyle
Cyphoma signatum
Author: ©Jim Lyle
License: personal permission
Origin: Jim Lyle
Cyphoma signatum
Author: ©Thomas W. Doeppner
License: personal permission
Cyphoma signatum
Author: ©Thomas W. Doeppner
License: personal permission
Cyphoma signatum
Author: ©Keri Wilk / ReefNet
License: personal permission
Origin: ReefNet
Cyphoma signatum
Author: ©Joseph Dougherty, M.D.
License: personal permission
Cyphoma signatum
Author: ©Joseph Dougherty, M.D.
License: personal permission
Cyphoma signatum
Author: ©Joseph Dougherty, M.D.
License: personal permission

Open questions

  • Are there animals which use the minutiae-type biometric characteristics of their conspecifics to distinguish each other?
  • How unique are animal characteristics?
  • What other types of geometric patterns can be used as biometric characteristics? (giraffes, tigers, fish, cows, whales [5, 6], gorillas [7], sheep [8], etc.)
  • What is the genotypic fraction in these characteristics?

Acknowledgment

The author would like to thank all photographers for their personal or general permission to publish their photos in this article. All rights remain with the contributors.
Henry Boitel, editor of the Biometrics Discussion Group, gave me the great hint to have a look at the  Fingerprint Cyphoma.

Literature

1]
Wikipedia: "Biometrie"  (http://de.wikipedia.org/wiki/Biometrie)
2]
Manfred Bromba, Biometrie-FAQ (http://www.bromba.com/faq/biofaqe.htm)
3]
Heindl, R. "System und Praxis der Daktyloskopie und der sonstigen technischen Methoden der Kriminalpolizei", De Gruyter, Berlin 1922.
4]
http://en.wikipedia.org/wiki/Fingerprint#Classifying_fingerprints
5]
http://streebgreebling.blogspot.com/search/label/animal%20biometrics
6]
http://code.google.com/p/whalespotter/
7]
http://www.powerhousemuseum.com/hsc/refugee/biometrics.htm
8]
http://asae.frymulti.com/abstract.asp?aid=22395&t=2