Section: New Results
Convolution surfaces with varying radius: Formulae for skeletons made of arcs of circles and line segments
Participants : Evelyne Hubert, Alvaro Javier Fuentes Suárez.
In [19], we develop closed form formulae for the computation of the defining fields of convolutions surfaces. The formulae are obtained for power inverse kernels with skeletons made of line segments or arcs of circle. To obtain the formulae we use Creative Telescoping and describe how this technique can be used for other families of kernels and skeleton primitives. We apply the new formulae to obtain convolution surfaces around