ArticleJournal of the Royal Society, Interface2015
Landmark-free geometric methods in biological shape analysis.
Article in Journal of the Royal Society, Interface, 2015. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 11 papers, 1 of them a synthesis that pooled it.
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Who cites it
11 citing papers in PubMed, 1 synthesis or guideline pooled it, 47 citations in OpenAlex.
- Do morphometric data improve phylogenetic reconstruction? A systematic review and assessment.BMC ecology and evolution · 2024Pooled it
- The impact of alignment and scaling on biological inferences from landmark-free morphometrics.Journal of anatomy · 2026Article
- Assessing the application of landmark-free morphometrics to macroevolutionary analyses.BMC ecology and evolution · 2025Article
- Dinosaur palaeoneurology: an evolving science.Biology letters · 2024Review
- Large deformation diffeomorphic mapping of 3D shape variation reveals two distinct mandible and head capsule morphs inEcology and evolution · 2024Article
- A landmark-free analysis of the pelvic girdle in Sulawesi ricefishes (Adrianichthyidae): How 2D and 3D geometric morphometrics can complement each other in the analysis of a complex structure.Ecology and evolution · 2023Article
- A Comparison of Semilandmarking Approaches in the Analysis of Size and Shape.Animals : an open access journal from MDPI · 2023Article
- A Comparison of Semilandmarking Approaches in the Visualisation of Shape Differences.Animals : an open access journal from MDPI · 2023Article
- Unveiling the third dimension in morphometry with automated quantitative volumetric computations.Scientific reports · 2021Article
- Computational geometric tools for quantitative comparison of locomotory behavior.Scientific reports · 2019Article
- Minimum action principle and shape dynamics.Journal of the Royal Society, Interface · 2017Article
Corrections and comments
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Authors and funding
2 authors at 1 institution in 1 country.
Funding
No grant is acknowledged in the PubMed record.
Abstract
In this paper, we propose a new approach for computing a distance between two shapes embedded in three-dimensional space. We take as input a pair of triangulated genus zero surfaces that are topologically equivalent to spheres with no holes or handles, and construct a discrete conformal map f between the surfaces. The conformal map is chosen to minimize a symmetric deformation energy Esd(f) which we introduce. This measures the distance of f from an isometry, i.e. a non-distorting correspondence. We show that the energy of the minimizing map gives a well-behaved metric on the space of genus zero surfaces. In contrast to most methods in this field, our approach does not rely on any assignment of landmarks on the two surfaces. We illustrate applications of our approach to geometric morphometrics using three datasets representing the bones and teeth of primates. Experiments on these datasets show that our approach performs remarkably well both in shape recognition and in identifying evolutionary patterns, with success rates similar to, and in some cases better than, those obtained by expert observers.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.