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.
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.
128210111
NURBS for curve and surface design: G. Farin(Ed.) SIAM, 1991, 161 pp, ISBN 0-89871-286-6
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.
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.
5117584
Subdivision of n-sided Regions into Four-sided Patches
10297454
AcouMotion - An Interactive Sonification System for Acoustic Motion Control
This paper introduces AcouMotion as a new hard-/software system for combining human body motion, tangible interfaces and sonification to a closed-loop human computer interface that allows non-visual motor control by using sonification (non-speech auditory displays) as major feedback channel. AcouMotion's main components are (i) a sensor device for measuring motion parameters (ii) a computer simulation to represent the dynamical evolution of a model world, and (iii) a sonification engine which generates an auditory representation of objects and any interactions in the model world. The intended applications of AcouMotion range from new kinds of sport games that can be played without visual displays and therefore may be particularly interesting for people with visual impairment to further applications in data mining, physiotherapy and cognitive research. The first application of AcouMotion presented in this paper is Blindminton, a sport game similar to Badminton which is particularly adapted to the abilities of people with visual impairment. We describe our current system and its state of development, and we present first sound examples for interactive sonification using an early prototype. Finally, we discuss some interesting research directions based on the fact that AcouMotion binds auditory stimuli and body motion, and thus can represent a counterpart to the Eye-tracker device that exploits the binding of visual stimuli and eye-movement in cognitive research.
39788442
Best Fit Surface Curvature at Vertices of Topologically Irregular Curve Networks
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.
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.
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.