In this paper, we present a fast and easy-to-implement locally physics-based Inverse Kinematics(IK) method. Our method builds upon a mass-spring model and relies on force interactions between masses. Joint rotations are computed using the closed-form method with predefined local axis coordinates. Combining these two approaches offers convincing visual quality results obtained with high time per...

The weILposedr7ess of the problems is not always guaranteed in inverse problems, unlike the forward problems. Dnts, a number of methods for giving wellposedrjess hm?e been studied in mathematical fields. In the ,field qf neural! networks, the network inversion method. for solving inverse problems was proposed; it is useflll but does not dissolute the ill-posedness of inverse problems. To overco...

We derive a formula that expresses the local spin and field operators of fundamental graded models in terms of the elements of the monodromy matrix. This formula is a quantum analogue of the classical inverse scattering transform. It applies to fundamental spin chains, such as the XYZ chain, and to a number of important exactly solvable models of strongly correlated electrons, such as the super...

Two inverse ill-posed problems are considered. The first problem is an input restoration of a linear system. second one time-dependent coefficients ordinary differential equation. Both reformulated as auxiliary optimal control with regularizing cost functional. For the problem, two models proposed. In model, approximated by output and estimates its derivatives. This model yields approximating l...

The calculation of forces in the kinematic pairs of mechanisms by inverse dynamics is usually performed without friction considerations. In practice, when examination of articulated mechanisms takes into account friction, the solution of the inverse dynamics results in a complex procedure. If a modular approach for the inverse dynamics is used, then exact solutions are available, but not necess...