An implementation (in Maple) of the multivalued elementary inverse functions is described. The new approach addresses the difference between the single-valued inverse function defined by computer systems and the multivalued function which represents the multiple solutions of the defining equation. The implementation takes an idea from complex analysis, namely the branch of an inverse function, ...

In this paper, we establish some sufficient conditions for the existence of a solution equilibrium problem. The problem is understood in general form: find $ \overline{x}\in E such that$ \begin{equation*} \Phi(\overline{x},y) \vartriangleleft (-D\backslash\{0\})^c \text{ all }y \in E; \end{equation*} $and its variants, where Boolean-valued bifunction and \Phi multivalued mapping with values vec...

We present a method to incrementally voxelize triangles into a volumetric dataset with pre-filtering, generating an accurate multivalued voxelization. Multivalued voxelization allows direct volume rendering of voxelized geometry as well as volumes with intermixed geometry, accurate multiresolution representations, and efficient antialiasing. Prior voxelization methods either computed only a bin...