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- W4300961705 abstract "Abstract First, we build a computational procedure to reconstruct the convex body from a pre-given surface area measure. Nontrivially, we prove the convergence of this procedure. Then, the sufficient and necessary conditions of a Sobolev binary function to be a lightness function of a convex body are investigated. Finally, we present a computational procedure to compute the curvature function from a pre-given lightness function, and then we reconstruct the convex body from this curvature function by using the first procedure. The convergence is also proved. The main computations in both procedures are simply about the spherical harmonics." @default.
- W4300961705 created "2022-10-04" @default.
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- W4300961705 date "2022-10-03" @default.
- W4300961705 modified "2023-10-18" @default.
- W4300961705 title "Reconstruction problems of convex bodies from surface area measures and lightness functions" @default.
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- W4300961705 doi "https://doi.org/10.4153/s0008414x22000505" @default.
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