Mod\'elisations de textures par champ gaussien \`a orientation locale prescrite

TL;DR

This paper introduces two novel models of oriented textures using locally anisotropic fractional Brownian fields with prescribed local orientation, and proposes an efficient simulation algorithm validated by numerical experiments.

Contribution

The paper develops new models of oriented textures based on Gaussian fields with prescribed local orientation and introduces a hybrid simulation algorithm combining tangent field and Cholesky or turning band methods.

Findings

Effective synthesis of textures with prescribed local orientation.

The proposed algorithm outperforms traditional methods in efficiency.

Numerical experiments confirm the models' ability to generate realistic textures.

Abstract

This paper presents two new models of oriented texture, based on a new class of Gaussian fields, called locally anisotropic fractional Brownian fields, with prescribed local orientation at any point. These fields are a local version of a specific class of anisotropic self-similar Gaussian fields with stationary increments. The simulation of such textures is obtained using a new algorithm mixing the tangent field formulation with the Cholesky method or the turning band method, this latter method having proved its efficiency for generating stationary anisotropic textures. Numerical experiments show the ability of the method for synthesis of textures with prescribed local orientation.