Mesh editing with poisson-based gradient field manipulation

Top Cited Papers

1 August 2004

journal article
conference paper
Published by Association for Computing Machinery (ACM) in ACM Transactions on Graphics

Vol. 23 (3) , 644-651
https://doi.org/10.1145/1015706.1015774

Abstract

In this paper, we introduce a novel approach to mesh editing with the Poisson equation as the theoretical foundation. The most distinctive feature of this approach is that it modifies the original mesh geometry implicitly through gradient field manipulation. Our approach can produce desirable and pleasing results for both global and local editing operations, such as deformation, object merging, and smoothing. With the help from a few novel interactive tools, these operations can be performed conveniently with a small amount of user interaction. Our technique has three key components, a basic mesh solver based on the Poisson equation, a gradient field manipulation scheme using local transforms, and a generalized boundary condition representation based on local frames. Experimental results indicate that our framework can outperform previous related mesh editing techniques.

Keywords

This publication has 29 references indexed in Scilit:

Non-iterative, feature-preserving mesh smoothing
ACM Transactions on Graphics, 2003
Discrete multiscale vector field decomposition
ACM Transactions on Graphics, 2003
Twister
ACM Transactions on Graphics, 2003
Dual domain extrapolation
ACM Transactions on Graphics, 2003
Anisotropic diffusion of surfaces and functions on surfaces
ACM Transactions on Graphics, 2003
Level set surface editing operators
ACM Transactions on Graphics, 2002
A framework for geometric warps and deformations
ACM Transactions on Graphics, 2002
Extended free-form deformation: a sculpturing tool for 3D geometric modeling
ACM SIGGRAPH Computer Graphics, 1990
Free-form deformation of solid geometric models
ACM SIGGRAPH Computer Graphics, 1986
Global and local deformations of solid primitives
ACM SIGGRAPH Computer Graphics, 1984