Texture Modeling by Gaussian fields with prescribed local orientation

TL;DR

This paper introduces a novel framework for modeling oriented textures using Locally Anisotropic Fractional Brownian Fields, enabling the synthesis of textures with specific local orientations through a new simulation algorithm.

Contribution

It proposes a new class of Gaussian fields with prescribed local orientation and a hybrid simulation method combining tangent fields and turning band techniques.

Findings

Successful synthesis of textures with prescribed local orientation.

The new algorithm efficiently generates anisotropic textures.

Numerical experiments validate the texture modeling approach.

Abstract

This paper presents a new framework for oriented texture modeling. We introduce 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 and a 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.