Publications by year

2015  2014  2013  2012  2011  2010  2009  2008  2007  2006  2005  2004  2003  2002  2001  2000  1999  1998  

Most documents on this website are protected by copyright. By clicking on a PDF icon, you confirm that you or your institution has the right to do so. Note that the definitive versions of all EG papers (Eurographics,...) can be downloaded from ACM papers (Siggraph, ...) can be downloaded from


“A nonlinear static approach for curve editing”
Rhaleb Zayer
Computers and Graphics (SMI conf. proc.), 2012

Abstract: This paper introduces a method for interactively editing planar curves subject to positional and rotational constraints. We regard editing as a static deformation problem but our treatment differs from standard finite element methods in the sense that the interpolation is based on deformation modes rather than the classic shape functions. A careful choice of these modes allows capturing the deformation behavior of the individual curve segments, and devising the underlying mathematical model from simple and tractable physical considerations. In order to correctly handle arbitrary user input (e.g. dragging vertices in a fast and excessive manner), our approach operates in the nonlinear regime. The arising geometric nonlinearities are addressed effectively through the modal representation without requiring complicated fitting strategies. In this way, we circumvent commonly encountered locking and stability issues while conveying a natural sense of flexibility of the shape at hand. Experiments on various editing scenarios including closed and non-smooth curves demonstrate the robustness of the proposed approach.

BibTex reference

   TITLE      = "A nonlinear static approach for curve editing",
   JOURNAL    = "Computers and Graphics (SMI conf. proc.)",
   YEAR       = "2012",
   AUTHOR     = "Rhaleb Zayer",

Supplemental material, links, hindsight ...

See also this link (Elesvier's website) with paper and videos.