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.
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
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.
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.
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.
1385818
Gestural Interactions for Multi-parameter Audio Control and Audification
This paper presents an interactive multi-modal system for real-time multi-parametric gestural control of audio processing applications. We claim that this can ease the use / control of different tasks and for this we present the following as a demonstration: (1) A musical application, i.e. the multi-parametric control of digital audio effects, and (2) a scientific application, i.e. the interactive navigation of audifications. In the first application we discuss the use of PCA-based control axes and clustering to obtain dimensionality reduced control variables. In the second application we show how the tightly closed human-computer loop actively supports the detection and discovery of features in data under analysis.
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.
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.
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.
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.