Fractal Descriptors of Texture Images Based on the Triangular Prism Dimension

Autor(es)

Florindo, Joao Batista ^[1] ; Bruno, Odemir Martinez ^[2]

Afiliação do(s) autor(es)

^[1] Univ Estadual Campinas, Inst Math Stat & Sci Comp, Rua Sergio Buarque de Holanda 651, BR-13083859 Campinas, SP - Brazil

^[2] Univ Sao Paulo, Sao Carlos Inst Phys, Sci Comp Grp, POB 369, BR-13560970 Sao Carlos, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Journal of Mathematical Imaging and Vision; v. 61, n. 1, p. 140-159, JAN 2019.
• Citações Web of Science: 0

Resumo

This work presents a novel descriptor for texture images based on fractal geometry and its application to image analysis. The descriptors are provided by estimating the triangular prism fractal dimension under different scales with a weight exponential parameter, followed by dimensionality reduction using Karhunen-Loeve transform. The efficiency of the proposed descriptors is tested on four well-known texture data sets, that is, Brodatz, Vistex, UIUC and KTH-TIPS2b, both for classification and image retrieval. The novel method is also tested concerning invariances in situations when the textures are rotated or affected by Gaussian noise. The obtained results outperform other classical and state-of-the-art descriptors in the literature and demonstrate the power of the triangular descriptors in these tasks, suggesting their use in practical applications of image analysis based on texture features. (AU)

• Processo FAPESP: 13/22205-3 - Organização espacial de tecidos e análise fractal para a taxonomia automatizada de plantas
• Beneficiário: Joao Batista Florindo
• Linha de fomento: Bolsas no Exterior - Estágio de Pesquisa - Pós-Doutorado
• Processo FAPESP: 16/16060-0 - Reconhecimento de padrões em imagens baseado em sistemas complexos
• Beneficiário: Joao Batista Florindo
• Linha de fomento: Auxílio à Pesquisa - Regular
• Processo FAPESP: 12/19143-3 - Geometria fractal e análise de imagens aplicadas à Biologia Vegetal
• Beneficiário: Joao Batista Florindo
• Linha de fomento: Bolsas no Brasil - Pós-Doutorado
• Processo FAPESP: 14/08026-1 - Visão artificial e reconhecimento de padrões aplicados em plasticidade vegetal
• Beneficiário: Odemir Martinez Bruno
• Linha de fomento: Auxílio à Pesquisa - Regular