Riemannian Geometric Statistics in Medical Image Analysis

Index

A

Action, 

diffeomorphisms, 135, 136, 138, 151, 176

isometric, 351, 353

natural, 77, 152, 577

rotations group, 423

Admissible anatomical transformations, 206

Algebraic group, 24

Ambient space, 4, 20, 246, 312, 344, 345, 347, 469, 533

coordinate, 256

Anatomic objects, 233, 235, 239, 261, 266

Anisotropic regularization, 77, 109

Apparent diffusion coefficient (ADC), 118

Arclength derivative, 161, 163

Atlas, 4, 5, 8, 10, 12, 286, 292, 293, 343, 367, 473, 569, 573

building, 569

construction, 292

estimation, 573

template, 566, 568

Autoparallel curves, 170, 172, 174

B

Banach space, 139, 551

Bandlimited velocity fields, 562, 571

Barycentric subspaces, 320

Base space, 145, 590

Bezier curves, 241

BHV, 

geodesics, 325–330, 334

geometry, 310

metric, 321

tree space, 310, 312, 313 ...