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.
5117584
Subdivision of n-sided Regions into Four-sided Patches
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.
12168310
Hand Postures for Sonification Control
Sonification is a rather new technique in human-computer interaction which addresses auditory perception. In contrast to speech interfaces, sonification uses non-verbal sounds to present information. The most common sonification technique is parameter mapping where for each data point a sonic event is generated whose acoustic attributes are determined from data values by a mapping function. For acoustic data exploration, this mapping must be adjusted or manipulated by the user. We propose the use of hand postures as a particularly natural and intuitive means of parameter manipulation for this data exploration task. As a demonstration prototype we developed a hand posture recognition system for gestural controlling of sound. The presented implementation applies artificial neural networks for the identification of continuous hand postures from camera images and uses a real-time sound synthesis engine. In this paper, we present our system and first applications of the gestural control of sounds. Techniques to apply gestures to control sonification are proposed and sound examples are given.
5100483
The Importance of Interaction in Sonification
This paper argues for a special focus on the use of dynamic human interaction to explore datasets while they are being transformed into sound. We describe why this is a special case of both human computer interaction (HCI) techniques and sonification methods. Humans are adapted for interacting with their physical environment and making continuous use of all their senses. When this exploratory interaction is applied to a dataset (by continuously controlling its transformation into sound) new insights are gained into the data’s macro and micro-structure, which are not obvious in a visual rendering. This paper reviews the importance of interaction in sonification, describes how a certain quality of interaction is required, provides examples of the techniques being applied interactively, and outlines a plan of future work to develop interaction techniques to aid sonification.
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.
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.
944953
The Sonification of Rhythms in Human Electroencephalogram
We use sonification of temporal information extracted from scalp EEG to characterize the dynamic properties of rhythms in certain frequency bands. Sonification proves particularly useful in the simultaneous monitoring of several EEG channels. Our results suggest sonification as an important tool in the analysis of multivariate data with subtle correlation differences.