Functional data registration is a necessary processing step for many applications. The observed can be inherently noisy, often due to measurement error or natural process uncertainty; which most functional alignment methods cannot handle. A pair of functions also have multiple optimal solutions, not addressed in current literature. In this paper, flexible Bayesian approach presented, appropriat...

An automatic procedure is presented to generate a multiresolution head model from sampled surface data. A generic control mesh serves as the starting point for a fitting algorithm that approximates the points in an unstructured set of surface samples, e.g. a point cloud obtained directly from range scans of an individual. A hierarchical representation of the model is generated by repeated refin...

Multidimensional Scaling (MDS) is a classical technique for embedding data in low dimensions, still widespread use today. In this paper we study MDS modern setting - specifically, high dimensions and ambient measurement noise. We show that as the noise level increases, suffers sharp breakdown depends on dimension level, derive an explicit formula point case of white then introduce MDS+, simple ...

The ability to orient toward visual, auditory, or tactile stimuli is an important skill for systems intended to interact with and explore their environment. In the brain of mammalian vertebrates, the Superior Colliculus is specialized for integrating multi-modal sensory information, and for using this information to orient the animal to the source sensory stimuli, such as noisy, moving objects....