Abstract
Semi-landmarks play an important role in the analysis of the fossil crania. While anatomical landmarks can be located reliably, locating semi-landmarks consistently is difficult because they are generally distributed around featureless regions and cannot be located using local shape descriptors.
We consider the problem of semi-landmark transfer in this research: given a surface mesh A (with landmarks P A and semi-landmarks Q A ) and a surface mesh B (with landmarks P B ), transfer the semi-landmarks of A onto B. In other words, compute the positions of semi-landmarks Q B of B using P A , Q A and P B . We solve this problem using a surface-based deformation technique: we minimize the bending energy of the deformation over the surface rather than over the whole 3D space (which is the case of sliding semi-landmarks).
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Allen B, Curless B, Popovic Z (2003) The space of human body shapes: reconstruction and parameterization from range scans. In: Proceedings of SIGGRAPH, San Diego, pp 587–594
Bookstein FL (1989) Principal warps: thin-plate splines and the decomposition of deformations. IEEE Trans Pattern Anal Mach Intell 11:567–585
Bookstein FL (1997) Landmark methods for forms without landmarks: morphometrics of group differences in outline shape. Med Image Anal 1:225–243
Botsch M, Sorkine O (2008) On linear variational surface deformation methods. IEEE Trans Vis Comput Graph 14:213–230
Davis TA (2004) A column pre-ordering strategy for the unsymmetric-pattern multifrontal method. ACM Trans Math Softw 30:165–195
Gunz P, Mitteroecker P, Bookstein FL (2005) Semilandmarks in three dimensions. In: Slice DE (ed) Modern morphometrics in physical anthropology. Springer, New York
Gunz P, Mitteroecker P, Neubauer S, Weber GW, Bookstein FL (2009) Principles for the virtual reconstruction of hominin crania. J Hum Evol 57:48–62
Morita Y, Kikuchi T, Ogihara N, Kanai T, Suzuki H (2011) A method to quantify neurocranial shape variation based on calculation of shortest paths connecting anatomical landmarks. Anthropol Sci 119:300
Welch W, Witkin A (1992) Variational surface modeling. In: Proceedings of SIGGRAPH, Chicago, pp 157–166
Acknowledgements
The authors would like to thank the anonymous reviewers for their valuable comments. This work was supported by MEXT Grant-in-Aid for Scientific Research on Innovative Areas (No. 22101006).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer Japan
About this chapter
Cite this chapter
Moriguchi, M., Suzuki, H., Michikawa, T., Ogihara, N., Kondo, O. (2014). Transferring Semi-Landmarks by Minimizing Bending Energy on Surfaces. In: Akazawa, T., Ogihara, N., C Tanabe, H., Terashima, H. (eds) Dynamics of Learning in Neanderthals and Modern Humans Volume 2. Replacement of Neanderthals by Modern Humans Series. Springer, Tokyo. https://doi.org/10.1007/978-4-431-54553-8_19
Download citation
DOI: https://doi.org/10.1007/978-4-431-54553-8_19
Published:
Publisher Name: Springer, Tokyo
Print ISBN: 978-4-431-54552-1
Online ISBN: 978-4-431-54553-8
eBook Packages: Humanities, Social Sciences and LawSocial Sciences (R0)