I. Introduction
Assessing road safety compliance from digitalized three-dimensional (3D) road geometry provides important information to guide safe driving in the field of intelligent transportation. The 3D geometric elements of roads consist of horizontal alignments with straight lines and horizontal curves, vertical alignments with longitudinal slopes, and cross-sections with cross-sectional slopes [1]. However, transportation agencies do not always have complete geometric information on their infrastructure [2] due to limited measurements from historical designs or as-built data, and historic geometric information may differ from the current layout due to changes made during in maintenance or reconstruction activities [2]. Meanwhile, the prime concern when evaluating road safety is to understand the effect between road alignments and driving speeds [3], [4], [5]. In particular, autonomous vehicles (AVs) with high-definition (HD) maps require an accurate understanding of road geometries to evaluate road safety. Consequently, investigating geometry-based speed guides is meaningful for both AVs with built-in HD maps and safety warnings at roadside units [6]. To this end, 3D geometry modeling and safety compliance assessments of in-service roads are significant research themes in intelligent transportation.