In this paper, we present a technique that maps 2D plots to a spherical surface. We project 2D plots as large as possible while minimizing distortions. To accomplish this projection, we employ elliptical grid mapping, which maps points on a cube to those on a sphere. To determine the largest projection from points on the 2D plot to the cube, we find the largest projection inside an unfolded cube pattern. The unfolded cube is then folded to construct a cube, and the projected 2D plot is mapped to a spherical surface. We consider all unfolding patterns of a cube and determine the optimal pattern for the projection. We apply the proposed mapping to high-dimensional data visualizations. Since the technique maps a plot to a spherical surface surrounding the user, and this covers a wider range of the users field of view, our mapping provides an immersive experience to users.

在本文中，我们提出了一种将2D绘图映射到球面的技术。我们将2D图投影到尽可能大的位置，同时将失真最小化。为了完成此投影，我们使用椭圆网格映射，该映射将立方体上的点映射到球体上的点。为了确定从2D绘图上的点到立方体的最大投影，我们在展开的立方体图案内找到最大的投影。然后将展开的立方体折叠起来以构造一个立方体，并将投影的2D图映射到球面。我们考虑立方体的所有展开模式，并确定投影的最佳模式。我们将建议的映射应用于高维数据可视化。由于该技术将绘图映射到用户周围的球形表面，并且覆盖了用户的更广阔视野，