W algebras arise in the study of various nonlinear integrable systems such as: self-dual gravity, the KP and Toda hierarchies, their quasi-classical (or dispersionless) limit, etc. Twistor theory provides a geometric background for these algebras. Present state of these topics is overviewed. A few ideas on possible deformations of self-dual gravity (including quantum deformations) are presented.

Abstract. Unified geometric approach to describing kinematics of elastic and plastic deformations of continuous media is suggested. On the base of this approach we study mechanical deformations, viscous flow, and heat transport in glassy plastic media. As a result we derive appropriate differential equations for these phenomena in a form applicable to liquids, elastic solids, and to plastic sol...

We present a review of methods for the construction and deformation of character models. We consider both state of the art research and common practice. In particular we review applications, data capture methods, manual model construction, polygonal, parametric and implicit surface representations, basic geometric deformations, free form deformations, subdivision surfaces, displacement map sche...

A supersymmetric generalization of the Krichever map is used to construct algebro-geometric solutions to the various super KadomtsevPetviashvili (SKP) hierarchies. The geometric data required consist of a suitable algebraic supercurve of genus g (generally no t a super Riemann surface) with a distinguished point and local coordinates (z, 0) there, and a generic line bundle of degree g 1 with a ...

This paper proposes a computational approach to seasonal changes of living leaves by combining the geometric deformations and textural color changes. The geometric model of a leaf is generated by triangulating the scanned image of a leaf using an optimized mesh. The triangular mesh of the leaf is deformed by the improved mass-spring model, while the deformation is controlled by setting differen...