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  • Theology  (4)
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  • 1
    Online Resource
    Online Resource
    Springer Science and Business Media LLC ; 2020
    In:  Evolutionary Biology Vol. 47, No. 4 ( 2020-12), p. 334-352
    In: Evolutionary Biology, Springer Science and Business Media LLC, Vol. 47, No. 4 ( 2020-12), p. 334-352
    Abstract: More and more analyses of biological shapes are using the techniques of geometric morphometrics based on configurations of landmarks in two or three dimensions. A fundamental concept at the core of these analyses is Kendall’s shape space and local approximations to it by shape tangent spaces. Kendall’s shape space is complex because it is a curved surface and, for configurations with more than three landmarks, multidimensional. This paper uses the shape space for triangles, which is the surface of a sphere, to explore and visualize some properties of shape spaces and the respective tangent spaces. Considerations about the dimensionality of shape spaces are an important step in understanding them, and can offer a coordinate system that can translate between positions in the shape space and the corresponding landmark configurations and vice versa. By simulation studies “walking” along that are great circles around the shape space, each of them corresponding to the repeated application of a particular shape change, it is possible to grasp intuitively why shape spaces are curved and closed surfaces. From these considerations and the available information on shape spaces for configurations with more than three landmarks, the conclusion emerges that the approach using a tangent space approximation in general is valid for biological datasets. The quality of approximation depends on the scale of variation in the data, but existing analyses suggest this should be satisfactory to excellent in most empirical datasets.
    Type of Medium: Online Resource
    ISSN: 0071-3260 , 1934-2845
    RVK:
    RVK:
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    Language: English
    Publisher: Springer Science and Business Media LLC
    Publication Date: 2020
    detail.hit.zdb_id: 2375126-5
    SSG: 12
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    Online Resource
    Online Resource
    Springer Science and Business Media LLC ; 2008
    In:  Evolutionary Biology Vol. 35, No. 3 ( 2008-9), p. 186-190
    In: Evolutionary Biology, Springer Science and Business Media LLC, Vol. 35, No. 3 ( 2008-9), p. 186-190
    Type of Medium: Online Resource
    ISSN: 0071-3260 , 1934-2845
    RVK:
    RVK:
    RVK:
    Language: English
    Publisher: Springer Science and Business Media LLC
    Publication Date: 2008
    detail.hit.zdb_id: 2375126-5
    SSG: 12
    Library Location Call Number Volume/Issue/Year Availability
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  • 3
    Online Resource
    Online Resource
    Springer Science and Business Media LLC ; 2014
    In:  Evolutionary Biology Vol. 41, No. 4 ( 2014-12), p. 528-545
    In: Evolutionary Biology, Springer Science and Business Media LLC, Vol. 41, No. 4 ( 2014-12), p. 528-545
    Type of Medium: Online Resource
    ISSN: 0071-3260 , 1934-2845
    RVK:
    RVK:
    RVK:
    Language: English
    Publisher: Springer Science and Business Media LLC
    Publication Date: 2014
    detail.hit.zdb_id: 2375126-5
    SSG: 12
    Library Location Call Number Volume/Issue/Year Availability
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  • 4
    Online Resource
    Online Resource
    Springer Science and Business Media LLC ; 2021
    In:  Evolutionary Biology Vol. 48, No. 1 ( 2021-03), p. 115-127
    In: Evolutionary Biology, Springer Science and Business Media LLC, Vol. 48, No. 1 ( 2021-03), p. 115-127
    Abstract: The Pinocchio effect has long been discussed in the literature on geometric morphometrics. It denotes the observation that Procrustes superimposition tends to distribute shape changes over many landmarks, even though a different superimposition may exist for the same landmark configurations that concentrates changes in just one or a few landmarks. This is widely seen as a flaw of Procrustes methods. Visualizations illustrating the Pinocchio effect use a comparison of the same pair of shapes superimposed in two different ways: in a resistant-fit superimposition that concentrates the shape difference in just one or a few landmarks, and in Procrustes superimposition, which distributes differences over most or all landmarks. Because these superimpositions differ only in the non-shape aspects of size, position and orientation, they are equivalent from the perspective of shape analysis. Simulation studies of the Pinocchio effect usually generate data, either single pairs or larger samples of landmark configurations, in a particular superimposition so that differences occur mostly or exclusively at just one or a few landmarks, but no steps are taken to remove variation from size, position and orientation. When these configurations are then compared with Procrustes-superimposed data, differences appear and are attributed to the Pinocchio effect. Overall, it is ironic that all manifestations of the Pinocchio effect in one way or another rely on differences in the non-shape properties of position and orientation. Rigorous thinking about shape variation and careful choice of visualization methods can prevent confusion over this issue.
    Type of Medium: Online Resource
    ISSN: 0071-3260 , 1934-2845
    RVK:
    RVK:
    RVK:
    Language: English
    Publisher: Springer Science and Business Media LLC
    Publication Date: 2021
    detail.hit.zdb_id: 2375126-5
    SSG: 12
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
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