Short Communication to SMI 2011: Affine-invariant geodesic geometry of deformable 3D shapes

摘要: Natural objects can be subject to various transformations yet still preserve properties that we refer as invariants. Here, use definitions of affine-invariant arclength for surfaces in R^3 order extend the set existing non-rigid shape analysis tools. We show by re-defining surface metric its equi-affine version, with modified tensor treated a canonical Euclidean object on which most classical processing and tools applied. The new definition is used fast marching method technique computing geodesic distances surfaces, where now, are defined respect an arclength. Applications proposed framework demonstrate invariance, efficiency, accuracy analysis.