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.
43499978
On higher order derivatives of blending functions
It is well-known that the derivatives of the Bezier curves can be expressed as Bezier curves where the control points are the differences of the original control points. This phenomenon is characterized for finite and infinite function systems.
15389938
Geometrical criteria on the higher order smoothness of composite surfaces
Abstract A generalization of a theorem by Pegna and Wolter—called Linkage Curve Theorem—is presented. The new theorem provides a condition for joining two surfaces with high order geometric continuity of arbitrary degree n. It will be shown that the Linkage Curve Theorem can be generalized even for the case when the common boundary curve is only G1.
39286473
Proof of the nonintersection conjecture of Hoffmann and Peters
A theorem on the nonintersection of convex curve families is proved. A corresponding conjecture of Hoffmann and Peters concerning the nonintersection of a T-cubic family is verified.
42092183
Degree elevation for generalized Poisson functions
In this note a common generalization is given for the Bezier and Poisson functions. Further it is proved that the degree elevated control polygon converges to the function.
23819859
Curve and surface design: H. Hagen (Ed.) SIAM, USA (1992), 219 pp, ISBN 089871-281-5
19159245
Improving and Extending the Lim/Lee Exponentiation Algorithm
. In [5] Lim and Lee present an algorithm for fast exponentiation in a given group which is optimized for a limited amount of storage. The algorithm uses one precomputation for several computations in order to minimize the average time needed for one exponentiation. This paper generalizes the previous work proposing several improvements and a method for fast precomputation. The basic Lim/Lee algorithm is improved by determining the optimal segmentation of the exponent. Finally, it is shown that the improved Lim/Lee algorithm is faster than the previous one in average case.
40071496
tacTilesfor Ambient Intelligence and Interactive Sonification
In this paper we introduce tacTiles, a novel wireless modular tactile sensitive surface element attached to a deformable textile, designed as a lay-on for surfaces such as chairs, sofas, floor or other furniture. tacTilescan be used as interface for human-computer interaction or ambient information systems. We give a full account on the hardware and show applications that demonstrate real-time sonification for process monitoring and biofeedback. Finally we sketch ideas for using tacTiles paired with sonification for interaction games.
33012033
Das Verbundprojekt "Veränderungen der Wissensproduktion und -verteilung durch Expertensysteme"
15399151
Sonic interaction design: sound, information and experience
Sonic Interaction Design (SID) is an emerging field that is positioned at the intersection of auditory display, ubiquitous computing, interaction design, and interactive arts. SID can be used to describe practice and inquiry into any of various roles that sound may play in the interaction loop between users and artifacts, services, or environments, in applications that range from the critical functionality of an alarm, to the artistic significance of a musical creation. This field is devoted to the privileged role the auditory channel can assume in exploiting the convergence of computing, communication, and interactive technologies. An over-emphasis on visual displays has constrained the development of interactive systems that are capable of making more appropriate use of the auditory modality. Today the ubiquity of computing and communication resources allows us to think about sounds in a proactive way. This workshop puts a spotlight on such issues in the context of the emerging domain of SID.
5897687
Polyrhythmic organization of coupled nonlinear oscillators
We study the rhythmic organization of coupled nonlinear oscillators. If oscillators with non-identical internal frequency are coupled, they generate a great variety of periodic and chaotic rhythmic patterns. Sonification of these patterns suggests their characterization in terms of polyrhythms: each oscillatory unit subdivides "measures" of equal or varying length differently. For the case of two coupled oscillators, the organization of these polyrhythms is exemplified as a function of the internal frequency ratio and the coupling strength. Some sonification strategies are presented which aid to detect complex rhythmic relationships between oscillators. The results may be of importance for the analysis of complex multivariate time series like human EEG.