Text Mesh Generation Based on Mesh Shape

3D text meshes serve as an essential visual component for embedding semantic information into 3D models and are widely used in applications such as labeling, branding, and digital authentication. However, conventional text embedding methods often suffer from visual distortion and poor surface conformity, especially on highly curved or irregular mesh surfaces. To address these limitations, we propose a robust technique for generating visually coherent text meshes directly on 3D triangle meshes. Our method maps TrueType font control points onto user-defined freeform curve. Using geodesic Bezier curves, we reconstruct the character outlines conforming to the mesh shape. We introduce both static and dynamic mapping schemes, which employ Frenet frame-based local coordinate systems and straightest geodesic distance to project the control points accurately onto the mesh. Using the reconstructed outlines, we perform mesh cutting to complex surfaces and enable various applications such as 3D watermarking and CAPTCAH-style security embedding.