I. Introduction
Simultaneous localization and dense mapping are essential for autonomous navigation, AR/VR, physical simulation, and embodied scene understanding [1], [2], [3]. It estimates the poses of vehicles using sensor data, while incrementally constructing a dense map, such as a triangular mesh. Recently, neural implicit representations offer considerable advantages over explicit map representations, such as improved scene inpainting, reduced memory demands, and increased versatility in capturing various attributes, such as color, geometry, and semantics.