Free form deformation has applications in computer animation, in data acquisition , and in computer aided geometric design. One approach is to deform the space in order to induce a deformation of an embedded object. A new method of this class is proposed which is based on scattered data interpolation. The usefulness of two selected classes of scattered data interpolation methods in this context...

A symplectic variety X is a normal algebraic variety (defined over C) which admits an everywhere non-degenerate d-closed 2-form ω on the regular locus Xreg of X such that, for any resolution f : X̃ → X with f (Xreg) ∼= Xreg, the 2-form ω extends to a regular closed 2-form on X̃ (cf. [Be]). There is a natural Poisson structure { , } on X determined by ω. Then we can introduce the notion of a Poiss...

A symplectic variety X is a normal algebraic variety (defined over C) which admits an everywhere non-degenerate d-closed 2-form ω on the regular locus Xreg of X such that, for any resolution f : X̃ → X with f (Xreg) ∼= Xreg, the 2-form ω extends to a regular closed 2-form on X̃ (cf. [Be]). There is a natural Poisson structure { , } on X determined by ω. Then we can introduce the notion of a Poiss...

The moduli space of complex structures on a compact Riemann surface of genus 1 or ≥ 2 can be identified with the deformation space of Riemannian metrics of constant curvature 0 or −1 respectively, while the latter definition naturally gives rise to the Weil-Peterson metric. Let M be a compact, oriented, and spin manifold of dimension 7. Then M admits a differential 3-form φ of generic type call...

We introduce the notion of a formal differential deformation of a local Artinian algebra and describe a normal form algorithm to compute presentations of differential deformations. We show that the microlocal structure of the Brieskorn lattice of an isolated hypersurface singularity can be considered as a differential deformation.

ahmed mahmud is one of the most prominent iranian writers in recent decades. he began his work with writing the short story entitled “sob mishe” and continued with” mool”. he received a position among top rank writers with writing the novel  hamsayeha. many critics have criticized  and studied his works and often dealt with the content of his stories. the paper first addresses form and structur...

In the paper the main stages of the process of 3D phytoplankton model construction based on their digitized images is described. The process of 3D phytoplankton model creation consists of sequential scaling, rotating and fitting of the outline of a base model, which represents a phytoplankton species with average dimensions, to the cell outline on the digitized image. The model fitting is provi...