Cage-based deformation techniques are widely used to control the deformation of an enclosed fine-detail mesh. Achieving deformation based on vertex constraints has been extensively studied for the case of pure meshes, but few works specifically examine how such vertex constraints can be used to efficiently deform the template and estimate the corresponding cage pose. In this paper, we show that...

‎In this paper‎, ‎a numerical procedure for an inverse problem of‎ ‎simultaneously determining an unknown coefficient in a semilinear ‎parabolic equation subject to the specification of the solution at‎ ‎an internal point along with the usual initial boundary conditions ‎is considered‎. ‎The method consists of expanding the required‎ ‎approximate solution as the elements of the inverse quadrati...

The Drazin inverse solutions of the matrix equations AX = B, XA = B and AXB = D are considered in this paper. We use both the determinantal representations of the Drazin inverse obtained earlier by the author and in the paper. We get analogs of the Cramer rule for the Drazin inverse solutions of these matrix equations and using their for determinantal representations of solutions of some differ...