FreeMesh: Boosting Mesh Generation with Coordinates Merging

TL;DR

This paper introduces PTME, a new metric for evaluating mesh tokenizers, and a coordinate merging technique that improves mesh compression, demonstrated through experiments on multiple tokenization methods.

Contribution

The paper proposes PTME for theoretical tokenizer evaluation and a coordinate merging method to enhance mesh compression ratios.

Findings

PTME effectively measures tokenizer quality without training.

Coordinate merging improves compression ratios of existing tokenizers.

Experimental validation on MeshXL, MeshAnything V2, and Edgerunner confirms performance gains.

Abstract

The next-coordinate prediction paradigm has emerged as the de facto standard in current auto-regressive mesh generation methods. Despite their effectiveness, there is no efficient measurement for the various tokenizers that serialize meshes into sequences. In this paper, we introduce a new metric Per-Token-Mesh-Entropy (PTME) to evaluate the existing mesh tokenizers theoretically without any training. Building upon PTME, we propose a plug-and-play tokenization technique called coordinate merging. It further improves the compression ratios of existing tokenizers by rearranging and merging the most frequent patterns of coordinates. Through experiments on various tokenization methods like MeshXL, MeshAnything V2, and Edgerunner, we further validate the performance of our method. We hope that the proposed PTME and coordinate merging can enhance the existing mesh tokenizers and guide the further development of native mesh generation.