We construct an area preserving map from a cube to the unit sphere S2, both centered at the
origin. More precisely, each face Fi of the cube is first projected to a curved square Si of the …

In this paper, we propose an area preserving bijective map from the regular octahedron to
the unit sphere S^ 2, both centered at the origin. The construction scheme consists of two …

介绍了一种基于内接正八面体和Snyder 投影的近似等积格网构建方法. 先构建与球面面积相等
的正八面体, 将正八面体的面作为初始剖分面, 然后采用四元三角剖分方法将初始剖分面分割成 …

In this chapter, we discuss the construction of wavelets related to other groups than
similitude groups. The first, and most important, case is that of wavelets on the two-sphere …

A novel square equal-area map projection is proposed. The projection combines closed-
form forward and inverse solutions with relatively low angular distortion and minimal cusps …

We construct a bijection from R2 to R2, which maps, for each α∈(0,∞), rectangles of
arbitrary edges 2αL1, 2αL2 onto ellipses with semi-axes αa, αb, with a, b satisfying 4L1L2 …

We construct an area preserving map from the cube to the unit sphere S2, both centered at
the origin. More precisely, each face Fi of the cube is first projected to a curved square Si of …

We give the most general expression of orthonormal piecewise constant wavelet bases, in
the case when the refinement process consists in dividing a domain into four subdomains …