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KATINA, Stanislav, Silvia BODORÍKOVÁ and M. DORNHOFEROVÁ. Reliability of measurements in geometric and traditional morphometrics of human skull. Česká antropologie. Olomouc: Česká společnost antropologická, 2011, vol. 61, No 2, p. 16-25. ISSN 1804-1876.
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Basic information
Original name Reliability of measurements in geometric and traditional morphometrics of human skull
Authors KATINA, Stanislav (703 Slovakia, belonging to the institution), Silvia BODORÍKOVÁ (703 Slovakia, guarantor) and M. DORNHOFEROVÁ (703 Slovakia).
Edition Česká antropologie, Olomouc, Česká společnost antropologická, 2011, 1804-1876.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10103 Statistics and probability
Country of publisher Czech Republic
Confidentiality degree is not subject to a state or trade secret
RIV identification code RIV/00216224:14310/11:00061080
Organization unit Faculty of Science
Keywords in English skull; morphometrics; reliability; biological a geometrical homology; (semi)landmarks; curves
Tags AKR, rivok
Tags International impact
Changed by Changed by: Ing. Andrea Mikešková, učo 137293. Changed: 12. 4. 2013 10:23.
The aim of this study is to confront the methods of traditional (classical) morphometrics (TM) with geometric morphometrics (GM). TM applies direct measurements of an object using some anthropometric instruments. In GM, object is analyzed in a virtual space and except the metric characteristics it is allowed to measure also the object’s shape independently of its position, orientation, and/or size. Furthermore, the study is focused on the classification of measurement errors in TM and GM, as well as the possibilities of their minimization. An overview and classification of (semi)landmarks depending on their reliability are proposed. In 2D analysis, only three types of landmarks are differentiated but in 3D approach nine types of (semi)landmarks are described. Selected curves and surface patches on the skull are also defined. A comparison of 2D and 3D analyses shows that the 2D photos (projections) are suitable for measuring only if the skull itself is not available. Only a slight rotation of the skull from the standardized planes (anthropometric norms) leads to artificial optical deformations, which increases distortion of the real variability. Contrary to 2D approach, the 3D one is offering not only richer information on the object using three coordinates additionally to only two, but more accurate measurements using mathematical definition of Frankfort horizontal and sagittal plane as well. The complexity of human skull measured by landmark coordinates is augmented by geometrically homologous (semi)landmarks on curves and surfaces, which are very important also backwards to calculate linear measurements from (semi)landmark coordinates. The major advantage of GM methods is the preservation of the full geometry of the object under study and the possibility to generate clear graphical outputs of the associated shape changes.
CZ.1.07/2.2.00/15.0203, interní kód MUName: Univerzitní výuka matematiky v měnícím se světě (Acronym: Univerzitní výuka matematiky)
Investor: Ministry of Education, Youth and Sports of the CR, 2.2 Higher education
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