Resonant Deformable Matching: Simultaneous Registration and Reconstruction
نویسندگان
چکیده
Let g be the isotropic Gaussian: •The representation distinguishes oriented point-sets: ψ· is injective from (R × Sd−1)∗ into L2(Rd). • It provides continuation of the normal field: ∇θψ is defined a.e. with isolated (possible) singularities near Voronoi boundaries. • It provides approximately linear composition: Given oriented point-sets S, T , ψS∪T ≈ ψS + ψT . •Given two oriented points satisfying certain basic conditions, the phase is continuous through a connected zero level-set. •Near connections, |ψS| > m∈S(Tmg)2. •There are several closed-form distances between oriented point-sets induced by ψ.
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