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A Linear Variational System for Modelling From Curves
Author(s) -
Andrews James,
Joshi Pushkar,
Carr Nathan
Publication year - 2011
Publication title -
computer graphics forum
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.578
H-Index - 120
eISSN - 1467-8659
pISSN - 0167-7055
DOI - 10.1111/j.1467-8659.2011.01966.x
Subject(s) - computer science , laplace operator , polygon mesh , representation (politics) , linear system , algorithm , workflow , range (aeronautics) , theoretical computer science , computer graphics (images) , mathematics , mathematical analysis , database , politics , political science , law , materials science , composite material
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.