3D Tiles tileset -- Level of details

Anyone know if there’s a way to control how many LODs (level of details) are generated when using the Cesium ion tiler, either through the REST API or using the on-premise 3D tiling pipeline? I’m mostly interested (for now) in the photogrammetry pipeline. I’m still new to Cesium, but I’m assuming the default settings will generate a fix number of level of details. I would be interested to force the generation of a few more (or a few less) level of details to experiment with the performance vs quality trade-offs.

Besides Cesium’s own tools, are there other 3rd party tools that can import OBJs (or other format) and output Cesium 3DTiles tilesets? I looked at FME, but I don’t see options to control LOD parameters.