PIXI.js has Container#cacheAsBitmap which causes the container to "render" itself to an image, save that, render the image instead of its children and when a child is added or removed or updated, the cache is updated.
What's the alternative for Three.js (but instead of an image it would be a mesh)?
I may not be understanding your question properly, but your reply to Sabee's answer was helpful. It sounds like you're looking to either merge multiple geometries into a single mesh or implement a form of model instancing, with the goal of reducing draw calls.
There is more than one way to accomplish this, depending on your requirements. You can merge multiple geometries into a single geometry object, and provide either one material or an array of materials (where each index corresponds to one of the merged geometries). You can also use GPU-accelerated instancing to achieve a similar effect with only a single copy of the geometry.
I'll refer to Dusan Bosnjak's excellent Medium series on instancing, which starts here: https://medium.com/@pailhead011/instancing-with-three-js-36b4b62bc127
As well, here are the three.js examples regarding instancing: https://threejs.org/examples/?q=instanc#webgl_buffergeometry_instancing_dynamic
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