Dance theater performance space layout directly affects the performance effect and audience experience, and traditional layout methods are difficult to balance practicality and aesthetics. In this study, a layout optimization method based on multi-dimensional scale computational analysis is constructed to address the coordination and appropriateness problems of dance drama performance space layout. Firstly, laser point cloud technology is used for three-dimensional modeling, and contour lines are extracted by Alpha Shapes algorithm to establish a multiobjective optimization model including land suitability, spatial compactness and conversion cost. Then the split-tree genetic algorithm is used to solve the optimization problem of spatial layout for dance performance, and the layout optimization is realized through the steps of chromosome encoding and decoding, fitness function construction and mutation operation. The results show that through 500 iterations, the comprehensive objective function Z decreases from 53.09 to 13.29, a year-on-year decrease of 81.21%; with different objective weights, as the weight coefficient increases from 0.1 to 0.9, the objective function decreases from 29.45 to 4.39, a decrease of 85.74%; compared with the Compared with the reference method, the maintenance cost of this method is reduced to 119,000 RMB/year, and the ROI is increased to 14.7%. The validation test shows that the optimized spatial layout response index of the dance performance is stable without fluctuation, and the layout rationality index is stable at 0.8, which is significantly better than other methods. The multi-dimensional scale calculation analysis provides a scientific basis for the dance drama performance space layout, taking into account the practicality and aesthetics.
