Smooth reverse subdivision

摘要：

In this paper we present a new multiresolution framework that takes into consideration reducing the coarse points energy during decomposition. We start from initial biorthogonal filters to include energy minimization in multiresolution. Decomposition and reconstruction are main operations for any multiresolution representation. We formulate decomposition as smooth reverse subdivision, based on a least squares problem. Both approximation of overall shape and energy are taken into account in the least squares formulation through different weights.Using this method, significant smoothness in decomposition of curves and tensor product surfaces can be achieved; while their overall shape is preserved. Having smooth coarse points yields details with maximum characteristics. Our method works well with synthesizing applications in which re-using high-energy details is important. We use our method for finding the smooth reverse of three common subdivision schemes. We also provide examples of our method in curve synthesis and terrain synthesis applications.

关键词： Multiresolution Reverse subdivision Energy minimization Least squares Wavelets

作者: Javad Sadeghi F.Samavati

作者单位: Department of Computer Science,University of Calgary, Alberta, Canada Faramarz Department of Computer Science, University of Calgary, Alberta, Canada

会议类型: 国际会议

会议名称: IEEE International Conference on Shape Modeling and Applications (SMI)(2009年形状建模国际会议)

会议地点: 北京

会议语种:英文

页码: 217-225

在线出版日期: 2009-06-26（万方平台首次上网日期，不代表论文的发表时间）