128210111
NURBS for curve and surface design: G. Farin(Ed.) SIAM, 1991, 161 pp, ISBN 0-89871-286-6
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.
42414181
G2 interpolation of free form curve networks by biquintic Gregory patches
Abstract The problem of interpolating a free form curve network with irregular topology is investigated in order to create a curvature continuous surface. The spanning curve segments are parametric quintic polynomials, the interpolating surface elements are biquintic Gregory patches. A necessary compatibility condition is formulated and proved which need to be satisfied at each node of the curve network. Constraints are derived for assuring G 2 continuity between biquintic Gregory patches, which share a common side or a common corner point. The above conditions still leave certain geometric freedom for defining the entire G 2 surface, so following some analysis a particular construction is presented, by which after computing the principle curvatures at each node the free parameters are locally set for each interpolating Gregory patch.
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.
46596104
On the smoothness of offset surfaces
It is proved that the geometric continuity of the offset of a composite base surface is the same as that of the base surface.
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.
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.
39788442
Best Fit Surface Curvature at Vertices of Topologically Irregular Curve Networks
13115995
Neural gas sonification - growing adaptive interfaces for interacting with data
In This work we present an approach using incrementally constructed neural gas networks to 'grow' an intuitive interface for interactive exploratory sonification of high-dimensional data. The sonifications portray information about the intrinsic data dimensionality and its variation within the data space. The interface follows the paradigm of model-based sonification and consists of a graph of nodes that can be acoustically 'excited' with simple mouse actions. The sound generation process is defined in terms of the node parameters and the graph topology, following a physically motivated model of energy flow through the graph structure. The resulting sonification model is tied to the given data set by constructing both graph topology and node parameters by an adaptive, fully data-driven learning process, using a growing neural gas network. We report several examples of applying this method to static data sets and point out a generalization to the task of process analysis.
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.
45319924
Augmented Haptics - An Interactive Feedback System for Musicians
This paper presents integrated vibrotactiles , a novel interface for movement and posture tuition that provides real-time feedback in a tactile form by means of interactive haptic feedback, thereby conveying information neither acoustically nor visually and it is a promising feedback means for movements in 3D-space. In this paper we demonstrate haptic augmentation for applications for musicians, since it (a) doesn't affect the visual sense, occupied by reading music and communication, (b) doesn't disturb in bang sensitive situations such as concerts, (c) allows to relate feedback information in the same tactile medium as the output of the musical instrument, so that an important feedback channel for musical instrument playing is extended and trained supportive. Even more, instructions from the teacher and the computer can be transmitted directly and unobtrusively in this channel. This paper presents a prototype system together with demonstrations of applications that support violinists during musical instrument learning.