This paper provides an extension of a function u ∈ BVH (Ω) to a function u0 ∈ BVH(G), when Ω ⊂ G is “H-admissibile,” and G is a step 2 Carnot Group. It is shown that H-admissible domains include noncharacteristic domains and domains in groups of Heisenberg type which have a partial symmetry about characteristic points. An example is given of a domain Ω that is C, α < 1, that is not H-admissible...

The rendering of an implicit surface requires many function evaluations of the underlying implicit function. The time efficiency of the rendering is dominated by the number of function evaluations times the efficiency of these evaluations. If the implicit surface is created by means of a CSG model the function evaluations can be made more efficient if the underlying function is a Lipschitz func...

Let A denote a square complex matrix and let E be a perturbation matrix. The purpose of this paper is to investigate the perturbation of the Drazin inverse when B = A + E satisfies the rank conditions rankA = rankB = rankAB, where r and s denote the indices of A and B, respectively. We will derive an explicit representation of B as a function of A and B −A , for certain positive integers j, k. ...

An image-based model reconstruction system is described in this paper where real images of a rigid object acquired under a simple but controlled environment are used to recover its three dimensional geometry and its surface texture. Based on a multi-image calibration method, an algorithm to extract the rotation axis of a turn-table has been developed. Furthermore, this algorithm can be extended...

As a kind of dance notation, Labanotation has been adopted extensively as an analysis and record system for performing dances. This article aims to generate Labanotation automatically from human motion capture data stored in BVH (Bio-vision Hierarchy) files. First, we convert motion capture data into position format. Then we analyze motions separately according to whether the motion belongs to ...

This paper describes a system and underlying algorithms to perform geometric containment analysis to determine if a newly designed rotational part can be manufactured from a part in an existing database of rotational parts. Only material removal of the database part is considered in order to obtain the newly designed part from the database part. The system uses a three-step algorithm to test fo...

In the last few years the number of intelligent systems has been growing rapidly and classical interaction devices like mouse and keyboard are replaced in some use cases. Novel, goal-based interaction systems, e.g. based on gesture and speech allow a natural control of various devices. However, these are prone to misinterpretation of the user’s intention. In this work we present a method for su...

Let A denote a square complex matrix and let E be a perturbation matrix. The purpose of this paper is to investigate the perturbation of the Drazin inverse when B = A + E satisfies the rank conditions rankA = rankB = rankAB, where r and s denote the indices of A and B, respectively. We will derive an explicit representation of B as a function of A and B −A , for certain positive integers j, k. ...

The bounding-box of a geometric shape in 2D is the rectangle with the smallest area in a given orientation (usually upright) that complete contains the shape. The best-fit bounding-box is the smallest bounding-box among all the possible orientations for the same shape. In the context of document image analysis, the shapes can be characters (individual components) or paragraphs (component groups...