Browsing 37-Issue 6 by Subject "computational geometry"

Now showing items 1-3 of 3

    • Laplace–Beltrami Operator on Point Clouds Based on Anisotropic Voronoi Diagram 

      Qin, Hongxing; Chen, Yi; Wang, Yunhai; Hong, Xiaoyang; Yin, Kangkang; Huang, Hui (© 2018 The Eurographics Association and John Wiley & Sons Ltd., 2018)
      The symmetrizable and converged Laplace–Beltrami operator () is an indispensable tool for spectral geometrical analysis of point clouds. The , introduced by Liu et al. [LPG12] is guaranteed to be symmetrizable, but its ...

    • Localized Manifold Harmonics for Spectral Shape Analysis 

      Melzi, S.; Rodolà, E.; Castellani, U.; Bronstein, M. M. (© 2018 The Eurographics Association and John Wiley & Sons Ltd., 2018)
      The use of Laplacian eigenfunctions is ubiquitous in a wide range of computer graphics and geometry processing applications. In particular, Laplacian eigenbases allow generalizing the classical Fourier analysis to manifolds. ...

    • Sketching in Gestalt Space: Interactive Shape Abstraction through Perceptual Reasoning 

      Kratt, J.; Niese, T.; Hu, R.; Huang, H.; Pirk, S.; Sharf, A.; Cohen‐Or, D.; Deussen, O. (© 2018 The Eurographics Association and John Wiley & Sons Ltd., 2018)
      We present an interactive method that allows users to easily abstract complex 3D models with only a few strokes. The key idea is to employ well‐known Gestalt principles to help generalizing user inputs into a full model ...