Fleshing: Spine‐driven Bending with Local Volume Preservation. (6th May 2013)

• Record Type: Journal Article
• Authors: Zhuo, Wei; Rossignac, Jarek
• Is Part Of: Computer graphics forum. Volume 32:Number 2(2013)Part 3
• Page Start: 295
• Page End: 304
• Publication Date: 2013-05-06
• Subjects: I.3.5 [Computer Graphics]: Computational Geometry and Object Modeling—Geometric transformations -- F.2.2 [Theory of Computation]: Nonnumerical Algorithms and Problems—Geometrical problems and computations; Computer graphics -- Periodicals; 006.605
• DOI: 10.1111/cgf.12049
• Languages: English
• ISSNs: 0167-7055

Abstract

Abstract: 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 C 0, a model S 0 of a solid that lies "sufficiently close" to C 0, and a deformed version C 1 of C 0 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 C 0 and of M(X) on C 1 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.