Abstract: The digital technology has been continuously integrated into the work of prosthodontics, medical teaching and research, and the gradually formed digital prosthodontics which has always been a frontier hotspot in international stomatology community. From the view of result, the production of oral prosthesis represented by the specialty of oral medicine technology has been relatively mature through the introduction of increasingly perfect computer-aided design and manufacturing in the past ten years; however, in the clinical part, in addition to the use of some digital means in the analysis and design stages such as digital mouth scan, face scan, virtual aesthetic analysis design and jaw trajectory tracing, most operations, especially irreversible operations, are still based on empirical analogy models, and their digitalization is far from mature in part. However, the general lack of three-dimensional geometry analysis, transfer and verification for the target restoration space in the clinic is the bottleneck that restricts the overall progress of oral digital restoration, and the root cause is that we have not really followed the three-dimensional geometry to form the precise logical foundation necessary for digital restoration. Therefore, this paper will focus on the concept of stereogeometric quantities in oral prosthodontics and its typical characterization in the edge region of restoration, and summarize the disciplinary characteristics and future prospects of digital prosthodontics under the current stage of weak artificial intelligence.

Key words: digital restoration, solid geometry, target repstorative space, digitally guided restoration, digital prosthodontics