One invariant of intrinsic shape

One-Shot Integral Invariant Shape Priors for Variational Segmentation

We match shapes, even under severe deformations, via a smooth re-parametrization of their integral invariant signatures. These robust signatures and correspondences are the foundation of a shape energy functional for variational image segmentation. Integral invariant shape templates do not require registration and allow for significant deformations of the contour, such as the articulation of th...

Shape-from-intrinsic operator

Shape-from-X is an important class of problems in the fields of geometry processing, computer graphics, and vision, attempting to recover the structure of a shape from some observations. In this paper, we formulate the problem of shape-from-operator (SfO), recovering an embedding of a mesh from intrinsic differential operators defined on the mesh. Particularly interesting instances of our SfO p...

Intrinsic Shape Analysis

Shape Knowledge Indexing Using Invariant Shape Code

Shape knowledge indexing is crucial in design reuse and knowledge engineering, in which the pivot issue is to establish the unique representation of the invariant shape properties. In this paper we present a local shape-indexing scheme defined on the Fourier spectrum of the shape distribution. We theoretically prove that our shape code is strictly invariant of affine transformations, and be sui...

Cyclic Shape Invariant Potentials

We formulate and study the set of coupled nonlinear differential equations which define a series of shape invariant potentials which repeats after a cycle of p iterations. These cyclic shape invariant potentials enlarge the limited reservoir of known analytically solvable quantum mechanical eigenvalue problems. At large values of x, cyclic superpotentials are found to have a linear harmonic osc...