title: Calculus of nonrigid surfaces for geometry and texture manipulation.
abstract: We present a geometric framework for automatically finding intrinsic correspondence between three-dimensional nonrigid objects. We model object deformation as near isometries and find the correspondence as the minimum-distortion mapping. A generalization of multidimensional scaling is used as the numerical core of our approach. As a result, we obtain the possibility to manipulate the extrinsic geometry and the texture of the objects as vectors in a linear space. We demonstrate our method on the problems of expression-invariant texture mapping onto an animated three-dimensional face, expression exaggeration, morphing between faces, and virtual body painting.
authors.affiliation: Technion, Israel Institute of Technology, Haifa, Israel. bron@cs.technion.ac.il
authors.forename: Alexander
authors.initials: A
authors.lastname: Bronstein
authors.forename: Michael
authors.initials: M
authors.lastname: Bronstein
authors.forename: Ron
authors.initials: R
authors.lastname: Kimmel
mesh_terms: D000465:Algorithms; D001185:Artificial Intelligence; D007089:Image Enhancement / Q000379:methods*; D007090:Image Interpretation, Computer-Assisted / Q000379:methods*; D021621:Imaging, Three-Dimensional / Q000379:methods*; D010363:Pattern Recognition, Automated / Q000379:methods*; D015203:Reproducibility of Results; D012680:Sensitivity and Specificity