ORIGAMI TESSELATIONS

On strongly normal tesselations

Wavelets on Planar Tesselations

We present a new technique for progressive C-continuous approximation and compression of polygonal objects in images. Our technique uses local parametrizations de ned by meshes of convex polygons in the plane. We generalize a lifted biorthogonal wavelet transform to polygonal domains to perform multiresolution analysis and compression of image regions. The advantage of our technique over conven...

Permutation Groups and Chord Tesselations

Analytical approaches to musical analysis have generally attempted to provide some kind of justification, and, in the last decades, to develop analytical elements based on tesselations of pitch class sets. When applied to atonal music, analytical approaches frequently fail to find internal coherence. Most of the time, tilings of chords are based on a torus representation, which follows the trad...

Tesselations by Connection in Orders

The watershed transformation is a powerful tool for segmenting images, but its precise deenition in discrete spaces raises diicult problems. We propose a new approach in the framework of orders. We introduce the tesselation by connection, which is a transformation that preserves the connectivity, and can be implemented by a parallel algorithm. We prove that this transformation possesses good ge...

Hyperbolic Tesselations and Image Processing I