35470477
A new insight into the Gn continuity of polynomial surfaces
Abstract A theorem of Degen describes the structure of G 1 and G 2 connection between two polynomial surfaces. This is based on common vector polynomials and an irreducibility condition of one of these vector functions related to the common boundary. In this paper Degen's results are reformulated, a new proof and a new interpretation is given which makes it possible to generalize the previous results to G n continuity. Surprisingly, in case of G n continuity, there is no need to add further conditions than for the G 1 G 2 cases, still exists a common G n continuous polynomial virtual patch with polynomial reparametrizations.
46596104
On the smoothness of offset surfaces
It is proved that the geometric continuity of the offset of a composite base surface is the same as that of the base surface.
23819859
Curve and surface design: H. Hagen (Ed.) SIAM, USA (1992), 219 pp, ISBN 089871-281-5
3235018
Note on the RGB-patch concept
Abstract The paper suggests a simplication in the method for smooth connection of RBG patches of Chiyokura et al. which results in the reduction of the degree of the patches.
42941157
On a tolerance problem of parametric curves and surfaces
Abstract This paper gives bounds for the moduli of continuity of parametric curves and surfaces.
42414181
G2 interpolation of free form curve networks by biquintic Gregory patches
Abstract The problem of interpolating a free form curve network with irregular topology is investigated in order to create a curvature continuous surface. The spanning curve segments are parametric quintic polynomials, the interpolating surface elements are biquintic Gregory patches. A necessary compatibility condition is formulated and proved which need to be satisfied at each node of the curve network. Constraints are derived for assuring G 2 continuity between biquintic Gregory patches, which share a common side or a common corner point. The above conditions still leave certain geometric freedom for defining the entire G 2 surface, so following some analysis a particular construction is presented, by which after computing the principle curvatures at each node the free parameters are locally set for each interpolating Gregory patch.
16705147
Holistic Body Tracking for Gestural Interfaces
In this paper we present an approach to track a moving body in a sequence of camera images by model adaptation. The parameters of a stick figure model are varied by using a stochastic search algorithm. The similarity of rendered model images and camera images of the user are used as quality measure. A refinement of the algorithm is introduced by using combined stereo views and relevance maps to infer responsible joint angles from the difference of successive input images. Finally, the successful application of various versions of the algorithm on sequences of synthetic images is demonstrated.
8635773
Mediated attention with multimodal augmented reality
We present an Augmented Reality (AR) system to support collaborative tasks in a shared real-world interaction space by facilitating joint attention. The users are assisted by information about their interaction partner's field of view both visually and acoustically. In our study, the audiovisual improvements are compared with an AR system without these support mechanisms in terms of the participants' reaction times and error rates. The participants performed a simple object-choice task we call the "gaze game" to ensure controlled experimental conditions. Additionally, we asked the subjects to fill in a questionnaire to gain subjective feedback from them. We were able to show an improvement for both dependent variables as well as positive feedback for the visual augmentation in the questionnaire.
40714140
The guide RNA database
Guide RNAs (gRNAs) are small, metabolically stable RNA molecules which perform a pivotal, template-like function during the RNA editing process in kinetoplastid protozoa. The gRNA database currently contains 250 guide RNA sequences as well as secondary and tertiary structure models and other relevant information. The database is made available as a hypertext document accessible via the World Wide Web (WWW) at the URL: http://www.biochem.mpg.de/ goeringe/
39788442
Best Fit Surface Curvature at Vertices of Topologically Irregular Curve Networks
13115995
Neural gas sonification - growing adaptive interfaces for interacting with data
In This work we present an approach using incrementally constructed neural gas networks to 'grow' an intuitive interface for interactive exploratory sonification of high-dimensional data. The sonifications portray information about the intrinsic data dimensionality and its variation within the data space. The interface follows the paradigm of model-based sonification and consists of a graph of nodes that can be acoustically 'excited' with simple mouse actions. The sound generation process is defined in terms of the node parameters and the graph topology, following a physically motivated model of energy flow through the graph structure. The resulting sonification model is tied to the given data set by constructing both graph topology and node parameters by an adaptive, fully data-driven learning process, using a growing neural gas network. We report several examples of applying this method to static data sets and point out a generalization to the task of process analysis.