A three-dimensional finite-strain rod model. Part II: Computational aspects
Computer Methods in Applied Mechanics and Engineering
Non-Linear Finite Element Analysis of Solids and Structures: Essentials
Non-Linear Finite Element Analysis of Solids and Structures: Essentials
Proceedings of the 2002 ACM SIGGRAPH/Eurographics symposium on Computer animation
Faking Dynamics of Ropes and Springs
IEEE Computer Graphics and Applications
As-rigid-as-possible shape manipulation
ACM SIGGRAPH 2005 Papers
Super-helices for predicting the dynamics of natural hair
ACM SIGGRAPH 2006 Papers
CoRdE: Cosserat rod elements for the dynamic simulation of one-dimensional elastic objects
SCA '07 Proceedings of the 2007 ACM SIGGRAPH/Eurographics symposium on Computer animation
Interactive simulation of one-dimensional flexible parts
Computer-Aided Design
On Linear Variational Surface Deformation Methods
IEEE Transactions on Visualization and Computer Graphics
ACM SIGGRAPH 2008 papers
ACM SIGGRAPH Asia 2010 papers
From spiral to spline: optimal techniques in interactive curve design
From spiral to spline: optimal techniques in interactive curve design
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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 the 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 nonsmooth curves demonstrate the robustness of the proposed approach.