结构化凸体的实际体积计算，以及

VolestErrorTimeVolestTimeVincitime·1464 4 39.3877 225859 1638.14 1653.29 0.0092 1551.9610.0761.189 0.0·8269 5 240.261 31545.7 1287.54 1304.26 0.0130 1104.2140.0722.474 0.010 3·7 31.17861.14352e+09 4.22648e+084.2317e+08 0.00124.399476e+080.1568.290 0.010 3·9 752.5942.21485e+07 1.208 556E+06 1.20185e+060.00310.023537e+060.16419.980 0.015 3·112.7562.87936e+10 1.62617e+081.62684e+080.00041.284843e+080.20443.547 0.015 3·168639 1051.9497 1.8289e+111.02984e+11 1.02808e+110.00171.018419e+110.22431.848 0.020 4·50.3512.47765e+17 3.24630e+16 3.26163e+160.00473.201464e+160.416 135.6850.020 4·140.0946.762E+15 2.38561e+142.3603e+14 0.01062.334992e+140.42181.0580.025 4·135.8041.37457e+18 1.70146e+16 1.71202e+160.00621.119995e+160.52333.0520.025 4·89.81124.17323e+184.03833e+16 3.97396e+160.01595.017313e+18123.20.508 384.3460.030 4·118304 224164.11.28638e+17 4.12910e+16 4.10773e+160.0052 5.02297e+160.64863.05611.430 4·177.6134.08094e+18 2.80038e+17 2.80799e+170.00271.891857e+170.616 622.9957.310 3·61.39362.99231e+08 1.17756e+06 1.14805e+060.02511.185146e+060.15210.367 0.018 4·57.06418.58015e+11 2.96758e+09 2.82716e+090.04732.908083e+090.37693.74500.0表2 kis单位单纯形中采样的点数，k=10log d，m交点中的点数，n交点中的顶点数。R/ris单纯形最大内接球上最小包围半径的比值；s/r为拒收抽样；error表示相对误差（V- v） 精确体积v上计算值v的/v。

时间以秒为单位。排斥和VolEsti的实验结果。d k m s/r电压W VolestivalestiExactTime3·10300345 7.66e-1514.71611 0.47.52e-15 20.86 7.65e-15 0.03·10744 1.90e-1714.79611 0.42.15e-17 21.49 2.01e-15 0.03·10299842 4.11e-2123.53212 0.64.44e-21 36.17 4.11e-21 0.03·102040 2.80e-2323.68812 0.62.72e-23 34.88 2.74e-23 0.13 10299976 6.44e-28 30.74 5029412 0.85.81e-28 34.03 6.45e-28 0.03·10980 2.10e-3030.66412 0.72.00e-30 46.03 1.985e-30 0.14·104003953.77e-3551.10413 0.93.42e-35 48.71 3.77e-35 0.04·104769 4.49e-37 60.32 6377213 0.84.52e-37 63.91 4.56e-37 3.2表3 kis单位单纯形样本点数，k=10log d，mis交叉点点数；s/r为拒收取样（M2）；Nis是VolEsti每一步生成的点数，W是行走长度；N个=400d日志d。时间以秒为单位。五十、 Calès等人。