The inversion of spectropolarimetric observations the solar upper atmosphere is one most challenging goals in physics. If we account for all relevant ingredients spectral line formation process, such as three-dimensional (3D) radiative transfer out local thermodynamic equilibrium (NLTE), task becomes extremely computationally expensive. Instead generalizing 1D methods to 3D, have developed a ne...

An analytical three-dimensional slope reliability evaluation framework was developed in this work independent of use numerical simulations. The stability analysis necessarily carried out by utilizing an extended Morgenstern–Price method, which characterized formulations and competitive computational efficiency. Incorporation the presented method into response surface methodology led to effectiv...

With the advancement of computer technology, there is a surge interest in effective mapping methods for objects higher-dimensional spaces. To establish one-to-one correspondence between objects, quasi-conformal theory can be utilized ensuring bijectivity mappings. In addition, it often desirable mappings to satisfy certain prescribed geometric constraints and possess low distortion conformality...