Intrinsic shape - the proximate approach

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

The Intrinsic Shape of Point Clouds

The Intrinsic Shape of Point Clouds Stefan Ohrhallinger, PhD Concordia University, 2012 Given a point cloud, in the form of unorganized points, the problem of automatically connecting the dots to obtain an aesthetically pleasing and piecewise-linear closed interpolating boundary shape has been extensively researched for over three decades. In R, it is even more complicated to find an aesthetic ...

On the intrinsic shape of molecular clouds

Knowledge of the intrinsic shape of molecular clouds and molecular cloud cores provides useful information on both the formation and collapse mechanisms associated with the objects and on the initial conditions for star formation. We compare the shapes of molecular clouds as determined by the Heyer et al. (2001, HCS01) and Brunt et al. (2003, BKP03) catalogues of CO(J = 1 − 0) emission in the o...

Shape reconstruction with intrinsic priors

Shape-from-X, a problem of shape reconstruction from some measurements, is a classical inverse problem in computer vision. In this paper, we propose a framework for intrinsic regularization of such problems. The assumption is that we have a shape intrinsically similar to (a bending of) the unknown shape we have to reconstruct. For that goal, we formulate a variation with respect to vertex coord...