RECONSTRUCTION PROBLEMS OF CONVEX BODIES FROM EVEN L_(p)SURFACE AREA MEASURES

作     者：Juewei HU Gangsong LENG 胡珏伟;冷岗松

作者机构：Department of MathematicsShanghai UniversityShanghai200444China 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报(B辑英文版))

年 卷 期：2025年第45卷第1期

页      面：126-142页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported by the NSFC(12171304) 

主　　题：reconstruction problem even L_(p)surface area measures spherical harmonic 

摘      要：We build a computer program to reconstruct convex bodies using even L_(p)surface area measures for p≥***,we transform the minimization problem Pi,which is equivalent to solving the even L_(p)Minkowski problem,into a convex optimization problem P4 with a finite number of *** transformation makes it suitable for computational ***,we prove that the approximate solutions obtained by solving the problem P4 converge to the theoretical solution when N and k are sufficiently ***,based on the convex optimization problem P_(4),we provide an algorithm for reconstructing convex bodies from even L_(p)surface area measures,and present several examples implemented using MATLAB.