Fractal Geometry and Image Analysis Applied to Vegetal Biology

• Grant number: 12/19143-3
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: March 01, 2013
• End date: February 29, 2016
• Field of knowledge: Physical Sciences and Mathematics - Computer Science - Computing Methodologies and Techniques
• Principal Investigator: Odemir Martinez Bruno
• Grantee: Joao Batista Florindo
• Host Institution: Instituto de Física de São Carlos (IFSC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated scholarship(s): 13/22205-3 - Tissue spatial organization and fractal analyses for automated plant taxonomy, BE.EP.PD

Abstract

This project proposes the development and application of mathematical and image analysis tools derived from fractal geometry to the analysis and identification of plant species of Brazilian flora. The proposed use of fractal geometry for this analysis comes from the precision that this approach presents in the modeling of objects from nature. Actually, elements such as plant leaves have properties closer to those of a fractal object than to objects of classical geometry. For example, these structures are highly complex and have a significant level of self-similarity in their appearance. This work will explore techniques known in the literature such as multifractal and fractal descriptors and propose new approaches for extracting image features based on fractal geometry. This combination of mathematical and computational tools with biological techniques will provide benefits for both exact and biological areas. In this way, this study allows the development of a tool that can turn the process of identifying and analyzing plants more precise and agile. At the same time, it encourages the development of more advanced techniques in image analysis.

Scientific publications

(16)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

ZUNIGA, ALVARO G.; FLORINDO, JOAO B.; BRUNO, ODEMIR M.. Gabor wavelets combined with volumetric fractal dimension applied to texture analysis. PATTERN RECOGNITION LETTERS, v. 36, p. 135-143, JAN 15 2014. (11/01523-1, 12/19143-3)

FLORINDO, JOAO B.; BRUNO, ODEMIR M.. Texture classification using non-Euclidean Minkowski dilation. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, v. 493, p. 189-202, MAR 1 2018. (16/16060-0, 12/19143-3, 14/08026-1)

FLORINDO, JOAO BATISTA; CASANOVA, DALCIMAR; BRUNO, ODEMIR MARTINEZ. A Gaussian pyramid approach to Bouligand-Minkowski fractal descriptors. INFORMATION SCIENCES, v. 459, p. 36-52, AUG 2018. (16/16060-0, 12/19143-3, 14/08026-1, 13/22205-3)

FLORINDO, JOAO B.; LANDINI, GABRIEL; BRUNO, ODEMIR M.. Three-dimensional connectivity index for texture recognition. PATTERN RECOGNITION LETTERS, v. 84, p. 239-244, DEC 1 2016. (11/01523-1, 12/19143-3, 13/22205-3)

FLORINDO, J. B.; BRUNO, O. M.. Texture analysis by fractal descriptors over the wavelet domain using a best basis decomposition. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, v. 444, p. 415-427, FEB 15 2016. (12/19143-3, 13/22205-3)

FLORINDO, JOAO BATISTA; BRUNO, ODEMIR MARTINEZ. Fractal Descriptors of Texture Images Based on the Triangular Prism Dimension. Journal of Mathematical Imaging and Vision, v. 61, n. 1, p. 140-159, JAN 2019. (13/22205-3, 16/16060-0, 12/19143-3, 14/08026-1)

DA SILVA, NUBIA ROSA; FLORINDO, JOAO BATISTA; GOMEZ, MARIA CECILIA; ROSSATTO, DAVI RODRIGO; KOLB, ROSANA MARTA; BRUNO, ODEMIR MARTINEZ. Plant Identification Based on Leaf Midrib Cross-Section Images Using Fractal Descriptors. PLoS One, v. 10, n. 6, JUN 19 2015. (11/23112-3, 11/01523-1, 12/19143-3, 11/21467-9)

FLORINDO, JOAO BATISTA; ASSIRATI, LUCAS; BRUNO, ODEMIR MARTINEZ. Enhancing texture descriptors by a neighborhood approach to the non-additive entropy. DIGITAL SIGNAL PROCESSING, v. 44, p. 14-25, SEP 2015. (11/01523-1, 12/19143-3, 13/22205-3)

OLIVEIRA, MARCOS WILLIAM DA S.; CASANOVA, DALCIMAR; FLORINDO, JOAO B.; BRUNO, ODEMIR M.. Enhancing fractal descriptors on images by combining boundary and interior of Minkowski dilation. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, v. 416, p. 41-48, DEC 15 2014. (12/19143-3, 11/01523-1, 13/14984-2, 13/22205-3)

FLORINDO, JOAO B.; BRUNO, ODEMIR M.. Local fractal dimension and binary patterns in texture recognition. PATTERN RECOGNITION LETTERS, v. 78, p. 22-27, JUL 15 2016. (11/01523-1, 12/19143-3)

CASANOVA, D.; FLORINDO, J. B.; FALVO, M.; BRUNO, O. M.. Texture analysis using fractal descriptors estimated by the mutual interference of color channels. INFORMATION SCIENCES, v. 346, p. 58-72, JUN 10 2016. (11/01523-1, 12/19143-3, 13/22205-3)

FLORINDO, JOAO BATISTA; BRUNO, ODEMIR MARTINEZ. Discrete Schroedinger transform for texture recognition. INFORMATION SCIENCES, v. 415, p. 142-155, NOV 2017. (16/16060-0, 12/19143-3, 14/08026-1)

FLORINDO, JOAO B.; BRUNO, ODEMIR M.; LANDINI, GABRIEL. Morphological classification of odontogenic keratocysts using Bouligand-Minkowski fractal descriptors. COMPUTERS IN BIOLOGY AND MEDICINE, v. 81, p. 1-10, FEB 1 2017. (12/19143-3, 14/08026-1, 13/22205-3)

FLORINDO, JOAO BATISTA; ASSIRATI, LUCAS; BRUNO, ODEMIR MARTINEZ. Locally enhancing fractal descriptors by using the non-additive entropy. PATTERN RECOGNITION LETTERS, v. 70, p. 32-37, JAN 15 2016. (11/01523-1, 12/19143-3, 13/22205-3)

FLORINDO, JOAO BATISTA; BRUNO, ODEMIR MARTINEZ. Fractal descriptors based on the probability dimension: A texture analysis and classification approach. PATTERN RECOGNITION LETTERS, v. 42, p. 107-114, JUN 1 2014. (11/01523-1, 12/19143-3)

SILVA, N. R.; FLORINDO, J. B.; GOMEZ, M. C.; KOLB, R. M.; BRUNO, O. M.; VAGENAS, EC; VLACHOS, DS. Fractal descriptors for discrimination of microscopy images of plant leaves. WAKE CONFERENCE 2021, v. 490, p. 4-pg., 2014-01-01. (11/01523-1, 12/19143-3, 11/21467-9, 11/23112-3)