The focus of visibility analysis is the relationship between people’s perception and the environment. Visibility Graph Analysis (VGA) is one of the important spatial concepts in visibility analysis, which, in architecture, is first represented in two dimensions. Recently, computing the 3D VGA in a three-dimensional environment has become more applicable. Since environmental perception is a complex concept influenced by multiple parameters, limiting the relationship of visible nodes in the visibility graph overlooks the depth of visibility perception. The distance between two intervisible nodes should not be neglected. In this paper, we take a step forward by adding a computational layer to the 3D VGA, developing it into a weighted 3D VGA. In this model, each edge is assigned a weight based on the distance between nodes; two additional metrics—sum of distance and average distance—are defined to support multi-scale visibility interpretation, providing a more detailed representation of visibility relationships.
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