Realistic facial animation is achieved through geometric and image manipulations. Geometric deformations usually account for the shape and deformations unique to the physiology and expressions of a person. Image manipulations model the reflectance properties of the facial skin and hair to achieve smallscale detail that is difficult to model by geometric manipulation alone. Modeling and animatio...

A long-standing challenge in geometric modeling is providing a natural, intuitive interface for making local deformations to 3D surfaces. Previous approaches have provided either interactive manipulation or physical simulation to control surface deformations. In this paper, we investigate combining these two approaches with a painting interface that gives the user direct, local control over a p...

Local feature matching is not robust to extract correct correspondences under many conditions, such as images with general deformations and repetitive patterns. To solve this problem, this paper proposes a new geometric constraint method: Maximal Clique Matching (MCM). In MCM, the global geometric constraint problem can be expressed as the maximal clique problem in graph theory. MCM starts from...

Even after realignment there is residual movement-related variance present in fMRI time-series, causing loss of sensitivity and, potentially, also specificity. One cause is the differential deformation of the sampling matrix, by field inhomogeneities, at different object positions, i.e., a movement-by-inhomogeneity interaction. This has been addressed previously by using empirical field measure...

The main goal of computational anatomy is to compare shapes of organs (e.g. brain, heart and spine) observed from computed tomography (CT) and magnetic resonance (MR) imaging. Statistical analysis of shape differences can be useful to understand disease-related changes of anatomical structures. The key idea is to estimate transformations between a template and patient anatomies. These transform...

Induced surfaces and their integrable dynamics. II. Generalized Weierstrass representations in 4D spaces and deformations via DS hierarchy. Abstract Extensions of the generalized Weierstrass representation to generic surfaces in 4D Euclidean and pseudo-Euclidean spaces are given. Geometric characteristics of surfaces are calculated. It is shown that integrable deformations of such induced surfa...

An analytico-geometric reflection principle is established by means of normal deformations of analytic discs. Table of contents