Coupled quasi-harmonic bases

التفاصيل البيبلوغرافية
العنوان: Coupled quasi-harmonic bases
المؤلفون: Kovnatsky, A., Bronstein, M. M., Bronstein, A. M., Glashoff, K., Kimmel, R.
سنة النشر: 2012
المجموعة: Computer Science
مصطلحات موضوعية: Computer Science - Computer Vision and Pattern Recognition, Computer Science - Graphics
الوصف: The use of Laplacian eigenbases has been shown to be fruitful in many computer graphics applications. Today, state-of-the-art approaches to shape analysis, synthesis, and correspondence rely on these natural harmonic bases that allow using classical tools from harmonic analysis on manifolds. However, many applications involving multiple shapes are obstacled by the fact that Laplacian eigenbases computed independently on different shapes are often incompatible with each other. In this paper, we propose the construction of common approximate eigenbases for multiple shapes using approximate joint diagonalization algorithms. We illustrate the benefits of the proposed approach on tasks from shape editing, pose transfer, correspondence, and similarity.
Comment: 10 pages, 9 figures
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/1210.0026
رقم الأكسشن: edsarx.1210.0026
قاعدة البيانات: arXiv