Fleshing: Spine-driven Bending with Local Volume Preservation

Several design and animation techniques use a one‐dimensional proxy C (a spine curve in 3D) to control the deformation or behavior of a digital model of a 3D shape S. We propose a modification of these “skinning” techniques that ensures local volume preservation, which is important for the physical...

Full description

Saved in:
Bibliographic Details
Published in:Computer graphics forum Vol. 32; no. 2pt3; pp. 295 - 304
Main Authors: Zhuo, Wei, Rossignac, Jarek
Format: Journal Article
Language:English
Published: Oxford, UK Blackwell Publishing Ltd 01.05.2013
Subjects:
3-D graphics
Analysis
Deformation
Digital simulation
Exact solutions
F.2.2 [Theory of Computation]: Nonnumerical Algorithms and Problems-Geometrical problems and computations
I.3.5 [Computer Graphics]: Computational Geometry and Object Modeling-Geometric transformations
Image processing systems
Preservation
Proxy client servers
Spine
Studies
Three dimensional
Three dimensional models
ISSN:0167-7055, 1467-8659
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Several design and animation techniques use a one‐dimensional proxy C (a spine curve in 3D) to control the deformation or behavior of a digital model of a 3D shape S. We propose a modification of these “skinning” techniques that ensures local volume preservation, which is important for the physical plausibility of digital simulations. In the proposed “fleshing” techniques, as input, we consider a smooth spine C0, a model S0 of a solid that lies “sufficiently close” to C0, and a deformed version C1 of C0 that is “not overly bent”. (We provide a precise characterization of these restrictions.) As output, we produce a bijective mapping M, that maps any point X of S onto a point M(X) of M(S). M satisfies two properties: (1) The closest projection of X on C0 and of M(X) on C1 have the same arc length parameter. (2) U and M(U) have the same volume, where U is any subset of S. We provide three different closed form expressions for radial, normal and binormal fleshing and discuss the details of their practical real‐time implementation.
Bibliography:istex:2D65FC4B69A08CB769AFA26A1E4F4AD189BB9D57
ark:/67375/WNG-XML5ZJ0R-5
ArticleID:CGF12049
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 14
ObjectType-Article-2
content type line 23
ISSN:0167-7055
1467-8659
DOI:10.1111/cgf.12049