Coifman Wavelets in 3-D Scattering From Very Rough Random Surfaces

AbstractWavelet systems with a maximum number of balanced vanishing moments are known to be extremely useful in a variety of applications such as image and video compression. Tian and Wells recently created a family of such wavelet systems, called the biorthogonal Coifman wavelets, which have proved valuable in both mathematics and applications. The purpose of this work is to establish along with direct proofs a very neat extension of Tian and Wells' family of biorthogonal Coifman wavelets by recovering other “missing” members of the biorthogonal Coifman wavelet systems.

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Universality of hypercubic random surfaces

Physics Letters B ◽

10.1016/s0370-2693(97)00895-2 ◽

1997 ◽

Vol 409 (1-4) ◽

pp. 173-176

Author(s):

S. Bilke ◽

Z. Burda ◽

B. Petersson

Keyword(s):

Random Surfaces

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Random surfaces with two-sided constraints: An application of the theory of dominant ground states

Journal of Statistical Physics ◽

10.1007/bf01057870 ◽

1991 ◽

Vol 64 (1-2) ◽

pp. 111-134 ◽

Cited By ~ 25

Author(s):

A. E. Mazel ◽

Yu. M. Suhov

Keyword(s):

Ground States ◽

Random Surfaces ◽

Dominant Ground States

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Numerical Simulations of Dynamically Triangulated Random Surfaces on Parallel Computers with 100% Speedup

Proceedings of the Fifth Distributed Memory Computing Conference, 1990. ◽

10.1109/dmcc.1990.556382 ◽

2005 ◽

Cited By ~ 1

Author(s):

C.F. Baillie ◽

R.D. Williams

Keyword(s):

Numerical Simulations ◽

Parallel Computers ◽

Random Surfaces

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THE CRITICAL POINT OF UNORIENTED RANDOM SURFACES WITH A NONEVEN POTENTIAL

International Journal of Modern Physics A ◽

10.1142/s0217751x93000461 ◽

1993 ◽

Vol 08 (06) ◽

pp. 1139-1152

Author(s):

M.A. MARTÍN-DELGADO

Keyword(s):

Free Energy ◽

Partition Function ◽

Critical Point ◽

Discrete Model ◽

Recursion Relation ◽

Scaling Limit ◽

Random Surfaces ◽

Matrix Ensemble ◽

Quartic Interaction ◽

Double Scaling Limit

The discrete model of the real symmetric one-matrix ensemble is analyzed with a cubic interaction. The partition function is found to satisfy a recursion relation that solves the model. The double scaling-limit of the recursion relation leads to a Miura transformation relating the contributions to the free energy coming from oriented and unoriented random surfaces. This transformation is the same kind as found with a quartic interaction.

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