Enhancing fractal descriptors on images by combining boundary and interior of Minkowski dilation

Autor(es)

Oliveira, Marcos William da S. ^[1] ; Casanova, Dalcimar ^[2] ; Florindo, Joao B. ^[2] ; Bruno, Odemir M. ^{[1, 2]}

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Math & Comp Sci, BR-13566590 Sao Carlos, SP - Brazil

^[2] Univ Sao Paulo, Sao Carlos Inst Phys, Sci Comp Grp, BR-13560970 Sao Carlos, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS; v. 416, p. 41-48, DEC 15 2014.
• Citações Web of Science: 1

Resumo

This work proposes to obtain novel fractal descriptors from gray-level texture images by combining information from interior and boundary measures of the Minkowski dilation applied to the texture surface. At first, the image is converted into a surface where the height of each point is the gray intensity of the respective pixel in that position in the image. Thus, this surface is morphologically dilated by spheres. The radius of such spheres is ranged within an interval and the volume and the external area of the dilated structure are computed for each radius. The final descriptors are given by such measures concatenated and subject to a canonical transform to reduce the dimensionality. The proposal is an enhancement to the classical Bouligand Minkowski fractal descriptors, where only the volume (interior) information is considered. As different structures may have the same volume, but not the same area, the proposal yields to more rich descriptors as confirmed by results on the classification of benchmark databases. (C) 2014 Elsevier B.V. All rights reserved. (AU)

• Processo FAPESP: 12/19143-3 - Geometria Fractal e Análise de Imagens Aplicadas à Biologia Vegetal
• Beneficiário: Joao Batista Florindo
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado
• Processo FAPESP: 11/01523-1 - Métodos de visão computacional aplicados à identificação e análise de plantas
• Beneficiário: Odemir Martinez Bruno
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 13/14984-2 - Descritores fractais de texturas aplicados na identificação foliar e plasticidade anatômica
• Beneficiário: Dalcimar Casanova
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado
• Processo FAPESP: 13/22205-3 - Organização espacial de tecidos e análise fractal para a taxonomia automatizada de plantas
• Beneficiário: Joao Batista Florindo
• Modalidade de apoio: Bolsas no Exterior - Estágio de Pesquisa - Pós-Doutorado