#### Filter Results:

- Full text PDF available (27)

#### Publication Year

1993

2014

- This year (0)
- Last 5 years (5)
- Last 10 years (19)

#### Publication Type

#### Co-author

#### Journals and Conferences

#### Key Phrases

Learn More

- Jean-Pierre Antoine, Pierre Carrette, Romain Murenzi, B. Piette
- Signal Processing
- 1993

- Jean-Pierre Antoine, Romain Murenzi
- Signal Processing
- 1996

The two-dimensional continuous wavelet transform (CWT), derived from a square in-tegrable representation of the similitude group of IR 2 , is characterized by a rotation parameter, in addition to the usual translations and dilations. This enables it to detect edges and directions in images, provided a directional wavelet is used. First we review the general… (More)

- Jean-Pierre Antoine, Pierre Vandergheynst, Romain Murenzi
- Int. J. Imaging Systems and Technology
- 1996

Given a two-dimensional smooth manifold M and a bijective projection p from M on a fixed plane (or a subset of that plane), we explore systematically how a wavelet transform (WT) on M may be generated from a plane WT by the inverse projection p−1. Examples where the projection maps the whole manifold onto a plane include the two-sphere, the upper sheet of… (More)

- J. D. McEwen, P. Vielva, +7 authors Jean-Pierre Antoine
- 2008

The cosmic microwave background (CMB) is a relic radiation of the Big Bang and as such it contains a wealth of cosmological information. Statistical analyses of the CMB, in conjunction with other cosmological observables, represent some of the most powerful techniques available to cosmologists for placing strong constraints on the cosmological parameters… (More)

- Jean-Pierre Antoine, Damien Barache, Roberto Marcondes Cesar Junior, Luciano da Fontoura Costa
- Signal Processing
- 1997

In the general context of complex data processing, this paper reviews a recent practical approach to the continuous wavelet formalism on the sphere. This formalism notably yields a correspondence principle which relates wavelets on the plane and on the sphere. Two fast algorithms are also presented for the analysis of signals on the sphere with steerable… (More)

We survey the construction of the continuous wavelet transform (CWT) on the two-sphere. Then we discuss the discretization of the spherical CWT, obtaining various types of discrete frames. Finally we give some indications on the construction of a CWT on other conic sections.

- Laurent Jacques, Jean-Pierre Antoine
- IJWMIP
- 2007

Many techniques have been devised these last ten years to add an appropriate directionality concept in decompositions of images from the specific transformations of a small set of atomic functions. Let us mention for instance works on directional wavelets, steerable filters, dual-tree wavelet transform, curvelets, wave atoms, ridgelet packets, . . . In… (More)