Texture mapping on 3D surfaces using clustering-based cutting paths

Texture mapping is a common technique in computer graphics used to render realistic images. Our goal is to achieve distortion-free texture mapping on arbitrary 3D surfaces. To texture 3D models, we propose a scheme to flatten 3D surfaces into a 2D parametric domain. Our method does not require the 2D boundary of flattened surfaces to be stationary. The proposed method consists of three steps: 1 we find high distortion areas in a 2D parametric domain and find a cutting path over these areas, 2 we add virtual points to adaptively find the better parametric domain boundary instead of a predefined boundary and 3 we perform a well-known smoothing technique for better texture mapping. The proposed scheme can be efficiently realised by a linear system and yields interactive performance. Several experimental results for both genus-0 and non-genus-0 models are presented to verify the proposed scheme.