Tabla de Contenidos: “…'Loving Insight': D Arcy Thompson s Aristotle and the Soul in Nature; 2. …”

“…At the beginning of the 20th century D'Arcy Thompson1 wrote his classic treatise 'On Growth and Form' suggesting that exercise was a direct stimulus to growth. …”

Tabla de Contenidos: “…11.6.2 QR decomposition -- 11.6.3 Size-and-shape distributions -- 11.6.4 Multivariate approach -- 11.6.5 Approximations -- 12 Deformations for size and shape change -- 12.1 Deformations -- 12.1.1 Introduction -- 12.1.2 Definition and desirable properties -- 12.1.3 D'Arcy Thompson's transformation grids -- 12.2 Affine transformations -- 12.2.1 Exact match -- 12.2.2 Least squares matching: Two objects -- 12.2.3 Least squares matching: Multiple objects -- 12.2.4 The triangle case: Bookstein's hyperbolic shape space -- 12.3 Pairs of thin-plate splines -- 12.3.1 Thin-plate splines -- 12.3.2 Transformation grids -- 12.3.3 Thin-plate splines in R -- 12.3.4 Principal and partial warp decompositions -- 12.3.5 PCA with non-Euclidean metrics -- 12.3.6 Relative warps -- 12.4 Alternative approaches and history -- 12.4.1 Early transformation grids -- 12.4.2 Finite element analysis -- 12.4.3 Biorthogonal grids -- 12.5 Kriging -- 12.5.1 Universal kriging -- 12.5.2 Deformations -- 12.5.3 Intrinsic kriging -- 12.5.4 Kriging with derivative constraints -- 12.5.5 Smoothed matching -- 12.6 Diffeomorphic transformations -- 13 Non-parametric inference and regression -- 13.1 Consistency -- 13.2 Uniqueness of intrinsic means -- 13.3 Non-parametric inference -- 13.3.1 Central limit theorems and non-parametric tests -- 13.3.2 M-estimators -- 13.4 Principal geodesics and shape curves -- 13.4.1 Tangent space methods and longitudinal data -- 13.4.2 Growth curve models for triangle shapes -- 13.4.3 Geodesic model -- 13.4.4 Principal geodesic analysis -- 13.4.5 Principal nested spheres and shape spaces -- 13.4.6 Unrolling and unwrapping -- 13.4.7 Manifold splines -- 13.5 Statistical shape change -- 13.5.1 Geometric components of shape change -- 13.5.2 Paired shape distributions -- 13.6 Robustness -- 13.7 Incomplete data -- 14 Unlabelled size-and-shape and shape analysis…”

“…Yet, Senechal reminds us, some of the giants of mid-century science--including Niels Bohr, Irving Langmuir, D'Arcy Thompson, Harold Urey, and David Harker--took Wrinch's side in the feud. …”
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