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.
128210111
NURBS for curve and surface design: G. Farin(Ed.) SIAM, 1991, 161 pp, ISBN 0-89871-286-6
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.
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.
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.
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.
5682288
Guest Editors' Introduction: An Introduction to Interactive Sonification
The research field of sonification, a subset of the topic of auditory display, has developed rapidly in recent decades. It brings together interests from the areas of data mining, exploratory data analysis, human-computer interfaces, and computer music. Sonification presents information by using sound (particularly nonspeech), so that the user of an auditory display obtains a deeper understanding of the data or processes under investigation by listening.
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.
9492137
Interacting with sonification systems: closing the loop
This paper stresses the importance of the human user being tightly embedded within an interactive control loop for exploring data sets using sound. We consider the quality of interaction, and how this can be improved in computer systems by learning from real-world acoustic interactions. We describe how different sonification methods can utilise the human feedback loop to enhance the perception and analysis of the data under investigation. Some considerations are given regarding systems and applications.
7792659
Model-based sonification revisited---authors' comments on Hermann and Ritter, ICAD 2002
We discuss the framework of Model-Based Sonification (MBS) and its contribution to a principled design of mediators between high-dimensional data spaces and perceptual spaces, particularly sound spaces. Data Crystallization Sonification, discussed in the reprinted paper, exemplifies the design of sonification models according to this framework. Finally, promising lines of development in this area are pointed out, concerning generalizations, applications, and open research directions.
33012033
Das Verbundprojekt "Veränderungen der Wissensproduktion und -verteilung durch Expertensysteme"