Convolution Filters for Triangles

Contact   Nicollier Grégoire
Title   Convolution Filters for Triangles
Author(s)   Nicollier G.
References   Forum Geometricorum, volume 13, 2013, pp. 61-85
Abstract   The construction of a new triangle by erecting similar ears on the sides of a given triangle (as in Napoleon's theorem) can be considered as the convolution of the initial triangle with another triangle. We use the discrete Fourier of such convolution filters and their iterates. Our method leads to many old and new results in a very direct way.
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