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Continuing work presented in Li et al. (2021), we performed a series of teststo our high-resolution three-dimensional mass map reconstruction algorithm\splinv{}. We test the mass reconstruction accuracy against realistic mockcatalogs generated using shear field produced by triaxial halos with the innerdensity profile of $\rho \propto r^{-1}$ and of $\rho \propto r^{-1.5}$. Thegalaxy shape noise is modeled based on the Year-1 Subaru Hyper Suprime-Cam(HSC) Survey. After reviewing mathematical details of our algorithm and darkmatter halo models, we determine an optimal value of the coefficient of theadaptive LASSO regression penalty term for single halo reconstruction. Wesuccessfully measure halo masses for massive triaxial halos; the massdetermination accuracy is 5 percent for halos with $M = 10^{14.6}~M_\odot$ at$0.0625\leq z \leq 0.2425$, and 5 percent for those with $10^{14.8}~M_\odot$ at$0.0625\leq z \leq 0.4675$, and 20 percent for $M= 10^{15.0} ~M_\odot$ and$M=10^{15.2}~M_\odot$ in the redshift range $0.0625\leq z \leq 0.4675$. Theredshift estimate accuracy is consistently below $\Delta z /z \leq 0.05$ forthe above halo masses in the range $0.1525\leq z \leq 0.4675$. We alsodemonstrate that the orientation of triaxial halos and systematic error in ourhalo model do not affect reconstruction result significantly. Finally, wepresent results from reconstruction of mass distribution using shear catalogsproduced by multiple halos, to show \splinv{}'s capability using realisticshear maps from ongoing and future galaxy surveys.

Three-Dimensional Reconstruction of Weak-Lensing Mass Maps with a Sparsity Prior. II. Weighing Triaxial Cluster Halos