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Mutable elastic models for sculpting structured shapes
Author(s) -
Milliez A.,
Wand M.,
Cani M.P.,
Seidel H.P.
Publication year - 2013
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/cgf.12022
Subject(s) - computer science , rest (music) , bent molecular geometry , set (abstract data type) , interface (matter) , matching (statistics) , computer graphics (images) , algorithm , computer vision , geometry , artificial intelligence , mathematics , physics , programming language , acoustics , chemistry , statistics , organic chemistry , bubble , maximum bubble pressure method , parallel computing
Abstract In this paper, we propose a new paradigm for free‐form shape deformation. Standard deformable models minimize an energy measuring the distance to a single target shape. We propose a new, “mutable” elastic model. It represents complex geometry by a collection of parts and measures the distance of each part measures to a larger set of alternative rest configurations. By detecting and reacting to local switches between best‐matching rest states, we build a 3D sculpting system: It takes a structured shape consisting of parts and replacement rules as input. The shape can subsequently be elongated, compressed, bent, cut, and merged within a constraints‐based free‐form editing interface, where alternative rest‐states model to such changes. In practical experiments, we show that the approach yields a surprisingly intuitive and easy to implement interface for interactively designing objects described by such discrete shape grammars, for which direct shape control mechanisms were typically lacking.