KnE Engineering

ISSN: 2518-6841

The latest conference proceedings on all fields of engineering.

Métodos de Interpolación Basados en Funciones de Base Radial con Aplicaciones a la Reconstrucción de Imágenes

Published date:Feb 11 2018

Journal Title: KnE Engineering

Issue title: 6th Engineering, Science and Technology Conference - Panama 2017 (ESTEC 2017)

Pages:563-573

DOI: 10.18502/keg.v3i1.1460

Authors:

Rodrigo Comberodrigo.combe@utp.ac.paUniversidad Tecnológica de Panamá

Idulfo Arrochaidulfo.arrocha@utp.ac.paUniversidad Tecnológica de Panamá

Abstract:

This article presents the Radial Base Functions (RBFs) as a functional interpolation method for implicit surface reconstruction from points cloud.  These methods allow not only to improve inaccuracies resulting from scanners, but also possible discontinuities that occur in the point clouds.  The complexity of three-dimensional objects makes reconstruction difficult since devices such as scanners do not always faithfully reproduce the objects, which can lead to information gaps or an incomplete reconstruction. Interpolation methods based on RBFs allow to correct these errors.  Three-dimensional surface reconstruction has wide applications in biomedical engineering, in the design of industrial parts, among others.  With the algorithm, we developed we have been able to make reconstructions of both explicit and implicit functions, in two and three dimensions.

Keywords:  Radial Basis Functions, Three-dimensional reconstruction, Interpolation Methods.

References:

[1] Branch B., John W (2007). ”Reconstrucción de Objetos de Forma Libre a partir de Imágenes de Rango empleando una Red de Parches Nurbs”. Tesis Doctoral. Ingeniería en Sistemas. Universidad de Colombia, Sede de Medellín.


[2] Chenoweth, Maggie E. A. (2009). ”Numerical Study of Generalized Multiquadric Radial Basis Function Interpolation”. Society for Industrial and Applied Mathematics.


[3] Echeverri A., Jaime, Losada, Bell M., Moreno, Francisco J. y Bravo, Alejandro (2009). ”Mejoramiento de Imágenes usando Funciones de Base Radial”. Revista Ingenierías, Universidad de Medellín volumen 8, No. 15.


[4] Golgabai, Ahmad and Nikan, Omid (2014). A Meshless Method for Numerical Solution of Fractional Differential Equations. Caspian Journal of Mathematical Sciences (CJMS). University of Mazandaran, Irán.


[5] Hoppe, H., DeRose, T., Duchamp, T., McDonald, J. A. & Stuetzle, W. (1992). ”Surface reconstruction from unorganized points”. In J. J. Thomas (ed.), SIGGRAPH (p./pp. 71- 78), : ACM. ISBN: 0-89791-47


[6] LORENSEN, W. E. & CLINE, H. E. (1987). MARCHING CUBES: A HIGH RESOLUTION 3D SURFACE CONSTRUCTION ALGORITHM. IN M. C. STONE (ED.), SIGGRAPH (P./PP. 163- 169), : ACM. ISBN: 0-89791-227-6


[7] Morse, Brian S., Yoo, Terry S., Rheingans, Penny, Chen, David T. and Subramanian, K. R. (2001). Interpolating Implicit Surfaces from Scattered Surface Data Using Compactly Supported Radial Basis Functions. Shape Modelling International, Proceedings of the International Conference on Shape Modeling and Applications, IEEE Computer Society.


[8] Ortega, Mario (2009). ”Método de Registro no Rígido basado en Funciones de Base Radial”. Aplicación a Neurocirugía utilizando Atlas Cerebrales. Tesis Doctoral. Departamento de Sistemas Informáticos y Computación. Universidad Politécnica de Valencia.

Recommendations
PHOTOREACTOR DESIGN BY CLAY POTTERY MODIFICATION WITH TIO2 COATING IN PEAT WATER PURIFICATION
Kasman Ediputra et al., KNE ENGINEERING, 2019
APPLICATION OF GENETIC ALGORITHMS TECHNIQUE IN THE GENERATION OF ACADEMIC SCHEDULES
Jason Gómez et al., KNE ENGINEERING, 2020
PHOTOCATALYTIC DEGRADATION OF DIRECT YELLOW-27 BY PHOTOLYSIS WITH UV-LIGHT AND SOLAR IRRADIATION USING N-DOPED TIO2
Deliza et al., KNE ENGINEERING, 2019
EMPIRICAL STUDY BETWEEN COMPILED, INTERPRETED, AND DYNAMIC PROGRAMMING LANGUAGES APPLYING STABLE ORDERING ALGORITHMS (CASE STUDY: JAVA, PYTHON, JYTHON, JPYPE AND PY4J)
Milton Labanda-Jaramillo et al., KNE ENGINEERING, 2018
OPTIMIZING GENOMIC DNA ISOLATION AND PCR AMPLIFICATION FOR PASAK BUMI (EURYCOMA LONGIFOLIA)
A. Susilowati et al., KNE ENGINEERING, 2019
HARDWARE AND SOFTWARE INFRASTRUCTURE OF DIGITAL TWIN TECHNOLOGY
Zakharov L.A et al., KNE ENGINEERING, 2020
METHODOLOGY FOR COKEMAKING TECHNOLOGY SELECTION
Y. Gordon et al., KNE ENGINEERING, 2018
RELATIONSHIP BETWEEN THE TEXTURE AND YOUNG’S MODULUS OVER THE SECTION OF COLD-ROLLED RODS OF LOW-MODULUS BIOCOMPATIBLE ALLOY
S. Grib et al., KNE ENGINEERING, 2019
ANALYSIS OF DIGITAL TWIN DEFINITION AND ITS DIFFERENCE FROM SIMULATION MODELLING IN PRACTICAL APPLICATION
I. Krasikov et al., KNE ENGINEERING, 2020
THE STRUCTURE AND MECHANICAL PROPERTIES OF LOW CARBON STEEL AFTER CONTROLLED ROLLING AND LOW-TEMPERATURE TREATMENT
P. O. Selivanov et al., KNE ENGINEERING, 2019
Powered by
Untitled
Download
HTML
Cite
Share
statistics

2258 Abstract Views

372 PDF Downloads