The optimal path based maximum visibility was studied. It proves that a smoothly surface can be visibled by limitedly observepoints, and puts forward the optimal path and designs numberic solution.

• 摘要考虑基于最大观测范围的路径优化问题，证明了一类光滑曲面可被有限个探测点整体观测，提出了最优观测路径问题，并设计了相应的数值解法。