In general, mesh smoothing is performed by minimizing the discrete energy function for the surface. One of the major problems in mesh smoothing is to prevent the mesh from shrinking. In this paper, we propose a novel volume constraint to address the shrinking problem in mesh smoothing. Our key observation is that the mesh can be efficiently smoothed patch by patch in a signal processing manner,...

The recognition of shapes in images using Pairwise Geometric Histograms has previously been confined to fixed scale shape. Although the geometric representation used in this algorithm is not scale invariant, the stable behaviour of the similarity metric as shapes are scaled enables the method to be extended to the recognition of shapes over a range of scale. In this paper the necessary addition...

As an in nite union operation sweep of a moving object through space is a powerful and natural addition to the Boolean set operations that incorporates motion related information for the purposes of shaping collision detection and simulation of moving objects Use of sweep has been hindered by limited computational support and by the fact that it is a material growing operation whereas many appl...

We describe a method for modelling and locating deformable objects using a combination of global and local shape models. An object is represented as a set of patches together with a geometric model of their relative positions. The geometry is modelled with a global pose and linear shape model, together with a Markov Random Field (MRF) model of local displacements from the global model. Matching...

Editing and deformation of irregular meshes have become standard tools in geometric modeling. Most approaches try to preserve low-level differential properties of the surface during editing, whereas the global structure and shape of the features are not explicitly taken into account. In this paper, we introduce a feature-driven editing approach that puts global structural properties of the shap...

This paper examines the problem of tracking positions of a fireteam (4-5 men) as they perform building clearing exercises in order to predict future motion of the team. This was done by examining the team as a single entity rather than 4 or 5 separate entities. A team model was used under the assumption that the team stays together as a group and moves in specific patterns. The model chosen for...

In photogrammetric applications the use of a digital panoramic camera with 360° field of view may provide an interesting alternative to conventional methods. As the image geometry does not obey a central perspective it was necessary to establish a geometric model for digital panoramic cameras. This model was tested using a camera prototype produced by KST (Kamera & System Technik). Several mech...

Comparisons between empirical and theoretical allometric models for estimating tree biomass and the statistical caveats attached to empirical stem volume equations are presented in this paper. First, the elastic and stress similarity models, derived from fi rst biomechanical principles, as well as predictions obtained from geometric similitude, were validated against allometric equations that r...

Objects with broad boundaries are spatial objects, whose crisp boundaries are replaced by an area expressing the boundary’s uncertainty. There are two main interpretations for broad boundaries: (1) for positional uncertainty, the broad boundary represents the set of all possible positions among which the unknown boundary position is hidden; (2) for “fuzzy” boundaries, that is, boundaries that a...

We present a new surface representation scheme based on a manifold structure and displacement functions. Given a geometric model represented as a point cloud, we construct a domain manifold which is a smooth surface blended from simple local patches. The original points are then projected on to the local patches and their displacements are adjusted so that the final displaced surface approximat...