A Linear Variational System for Modelling From Curves
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Date
2011
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Publisher
The Eurographics Association and Blackwell Publishing Ltd.
Abstract
We present a linear system for modelling 3D surfaces from curves. Our system offers better performance, stability and precision in control than previous non‐linear systems. By exploring the direct relationship between a standard higher‐order Laplacian editing framework and Hermite spline curves, we introduce a new form of Cauchy constraint that makes our system easy to both implement and control. We introduce novel workflows that simplify the construction of 3D models from sketches. We show how to convert existing 3D meshes into our curve‐based representation for subsequent editing and modelling, allowing our technique to be applied to a wide range of existing 3D content.
Description
@article{10.1111:j.1467-8659.2011.01966.x,
journal = {Computer Graphics Forum},
title = {{A Linear Variational System for Modelling From Curves}},
author = {Andrews, James and Joshi, Pushkar and Carr, Nathan},
year = {2011},
publisher = {The Eurographics Association and Blackwell Publishing Ltd.},
ISSN = {1467-8659},
DOI = {10.1111/j.1467-8659.2011.01966.x}
}