For a given triangle there are many points associated with the triangle that lie in its interior; examples include the incenter (which can be found by the intersection of the angle bisectors) and the centroid (which can be found by the intersection of the medians). Using this point one can naturally subdivide the triangle into either three or six “daughter” triangles. We can then repeat the sam...

3D environments provide new possibilities for musical interaction. They allow musicians to manipulate and visualize large sets of sound processes associated to 3D objects by connecting graphical parameters to sound parameters. Several of these audiovisual mappings can be combined on a single 3D object. However, this brings up the issues of the choice of these mappings and of their combinations....

Music is one of the strongest triggers of emotions. Recent studies have shown strong emotional predispositions for musical instrument timbres. They have also shown significant correlations between spectral centroid and many emotions. Our recent study on spectral centroid-equalized tones further suggested that the even/odd harmonic ratio is a salient timbral feature after attack time and brightn...

The effects of an oscillatory zero-net-mass-flux jet (i.e. synthetic jet) acting on a separated flow over a hump are investigated in terms of two actuation parameters – actuator position and forcing frequency. By considering the vorticity flux balance and introducing a centroid of vorticity production over the hump surface, lift and drag acting on the hump can be expressed as a function of this...

Approximate nearest neighbor (ANN) search is fundamental for fast content-based image retrieval. While vector quantization one key to performing an effective ANN search, in order further improve accuracy, we propose enhanced accumulative (E-AQ). Based on our former work, introduced the idea of quarter point into (AQ). Instead finding centroid, was used quantize and computed each according its c...

A new algorithm is presented for increasing the accuracy of subpixel centroid estimation of (nearly) point target images in cases where the signal-to-noise ratio is low and the signal amplitude and shape vary from frame to frame. In the algorithm, the centroid is calculated over a data window that is matched in width to the image distribution. Fourier analysis is used to explain the dependency ...

It is shown that the centroid is a reference point for the symmetric difference with loss factor cz = 1 + 2 d 2 d+1 < 1 + 2d for convex figures under affine transformations. This generalizes an earlier result for two dimensions.

A new concept of approximation for rigid point sets is suggested. As a necessary condition of optimality, the principle of the conjoint centroid is proved: to achieve a best approximation, certain co-sets must conjoin their centroids. The practical use of the centroid principle, and how it opens up a non-classical method of modelling various aspects of orientational disorder in crystals, is dem...

This paper suggests ranking alternatives under fuzzy MCDM (multiple criteria decision making) via an centroid based ranking approach, where criteria are classified to benefit qualitative, benefit quantitative and cost quantitative ones. The ratings of alternatives versus qualitative criteria and the importance weights of all criteria are assessed in linguistic values represented by fuzzy number...