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Evolutionary Optimization Techniques for 3D Simultaneous Localization and Mapping
Mención Internacional en el título de doctorMobile robots are growing up in applications to move through indoors and outdoors environments,
passing from teleoperated applications to autonomous applications like exploring
or navigating. For a robot to move through a particular location, it needs to gather information
about the scenario using sensors. These sensors allow the robot to observe, depending on the
sensor data type. Cameras mostly give information in two dimensions, with colors and pixels
representing an image. Range sensors give distances from the robot to obstacles. Depth
Cameras mix both technologies to expand their information to three-dimensional information.
Light Detection and Ranging (LiDAR) provides information about the distance to the sensor
but expands its range to planes and three dimensions alongside precision. So, mobile robots
use those sensors to scan the scenario while moving. If the robot already has a map, the sensors
measure, and the robot finds features that correspond to features on the map to localize
itself. Men have used Maps as a specialized form of representing the environment for more
than 5000 years, becoming a piece of important information in today’s daily basics. Maps are
used to navigate from one place to another, localize something inside some boundaries, or as
a form of documentation of essential features. So naturally, an intuitive way of making an
autonomous mobile robot is to implement geometrical information maps to represent the environment.
On the other hand, if the robot does not have a previous map, it should build it while
moving around. The robot computes the sensor information with the odometer sensor information
to achieve this task. However, sensors have their own flaws due to precision, calibration,
or accuracy. Furthermore, moving a robot has its physical constraints and faults that may occur
randomly, like wheel drifting or mechanical miscalibration that may make the odometers fail
in the measurement, causing misalignment during the map building. A novel technique was
presented in the mid-90s to solve this problem and overpass the uncertainty of sensors while
the robot is building the map, the Simultaneous Localization and Mapping algorithm (SLAM).
Its goal is to build a map while the robot’s position is corrected based on the information of
two or more consecutive scans matched together or find the rigid registration vector between
them. This algorithm has been broadly studied and developed for almost 25 years. Nonetheless,
it is highly relevant in innovations, modifications, and adaptations due to the advances in new
sensors and the complexity of the scenarios in emerging mobile robotics applications. The scan
matching algorithm aims to find a pose vector representing the transformation or movement
between two robot observations by finding the best possible value after solving an equation
representing a good transformation. It means searching for a solution in an optimum way. Typically
this optimization process has been solved using classical optimization algorithms, like
Newton’s algorithm or solving gradient and second derivatives formulations, yet this requires
an initial guess or initial state that helps the algorithm point in the right direction, most of the
time by getting this information from the odometers or inertial sensors. Although, it is not always possible to have or trust this information, as some scenarios are complex and reckon
sensors fail. In order to solve this problem, this research presents the uses of evolutionary optimization
algorithms, those with a meta-heuristics definition based on iterative evolution that
mimics optimization processes that do not need previous information to search a limited range
for solutions to solve a fitness function. The main goal of this dissertation is to study, develop
and prove the benefits of evolutionary optimization algorithms in simultaneous localization and
mapping for mobile robots in six degrees of freedom scenarios using LiDAR sensor information.
This work introduces several evolutionary algorithms for scan matching, acknowledge a
mixed fitness function for registration, solve simultaneous localization and matching in different
scenarios, implements loop closure and error relaxation, and proves its performance at indoors,
outdoors and underground mapping applications.Los robots móviles están creciendo en aplicaciones para moverse por entornos interiores
y exteriores, pasando de aplicaciones teleoperadas a aplicaciones autónomas como explorar o
navegar. Para que un robot se mueva a través de una ubicación en particular, necesita recopilar
información sobre el escenario utilizando sensores. Estos sensores permiten que el robot observe,
según el tipo de datos del sensor. Las cámaras en su mayoría brindan información en
dos dimensiones, con colores y píxeles que representan una imagen. Los sensores de rango dan
distancias desde el robot hasta los obstáculos. Las Cámaras de Profundidad mezclan ambas
tecnologías para expandir su información a información tridimensional. Light Detection and
Ranging (LiDAR) proporciona información sobre la distancia al sensor, pero amplía su rango a
planos y tres dimensiones así como mejora la precisión. Por lo tanto, los robots móviles usan
esos sensores para escanear el escenario mientras se mueven. Si el robot ya tiene un mapa, los
sensores miden y el robot encuentra características que corresponden a características en dicho
mapa para localizarse. La humanidad ha utilizado los mapas como una forma especializada
de representar el medio ambiente durante más de 5000 años, convirtiéndose en una pieza de
información importante en los usos básicos diarios de hoy en día. Los mapas se utilizan para
navegar de un lugar a otro, localizar algo dentro de algunos límites o como una forma de documentación
de características esenciales. Entonces, naturalmente, una forma intuitiva de hacer
un robot móvil autónomo es implementar mapas de información geométrica para representar el
entorno. Por otro lado, si el robot no tiene un mapa previo, deberá construirlo mientras se desplaza.
El robot junta la información del sensor de distancias con la información del sensor del
odómetro para lograr esta tarea de crear un mapa. Sin embargo, los sensores tienen sus propios
defectos debido a la precisión, la calibración o la exactitud. Además, mover un robot tiene sus
limitaciones físicas y fallas que pueden ocurrir aleatoriamente, como el desvío de las ruedas o
una mala calibración mecánica que puede hacer que los contadores de desplazamiento fallen en
la medición, lo que provoca una desalineación durante la construcción del mapa. A mediados
de los años 90 se presentó una técnica novedosa para resolver este problema y superar la incertidumbre
de los sensores mientras el robot construye el mapa, el algoritmo de localización y
mapeo simultáneos (SLAM). Su objetivo es construir un mapa mientras se corrige la posición
del robot en base a la información de dos o más escaneos consecutivos emparejados o encontrar
el vector de correspondencia entre ellos. Este algoritmo ha sido ampliamente estudiado y
desarrollado durante casi 25 años. No obstante, es muy relevante en innovaciones, modificaciones
y adaptaciones debido a los avances en sensores y la complejidad de los escenarios en las
aplicaciones emergentes de robótica móvil. El algoritmo de correspondencia de escaneo tiene
como objetivo encontrar un vector de pose que represente la transformación o el movimiento
entre dos observaciones del robot al encontrar el mejor valor posible después de resolver una
ecuación que represente una buena transformación. Significa buscar una solución de forma óptima. Por lo general, este proceso de optimización se ha resuelto utilizando algoritmos de
optimización clásicos, como el algoritmo de Newton o la resolución de formulaciones de gradientes
y segundas derivadas, pero esto requiere una conjetura inicial o un estado inicial que
ayude al algoritmo a apuntar en la dirección correcta, la mayoría de las veces obteniendo esta
información de los sensores odometricos o sensores de inercia, aunque no siempre es posible
tener o confiar en esta información, ya que algunos escenarios son complejos y los sensores
fallan. Para resolver este problema, esta investigación presenta los usos de los algoritmos de
optimización evolutiva, aquellos con una definición meta-heurística basada en la evolución iterativa
que imita los procesos de optimización que no necesitan información previa para buscar
dentro de un rango limitado el grupo de soluciones que resuelve una función de calidad. El
objetivo principal de esta tesis es estudiar, desarrollar y probar los usos de algoritmos de optimización
evolutiva en localización y mapeado simultáneos para robots móviles en escenarios de
seis grados de libertad utilizando información de sensores LiDAR. Este trabajo introduce varios
algoritmos evolutivos que resuelven la correspondencia entre medidas, soluciona el problema
de SLAM, implementa una fusion de funciones objetivos y demuestra sus ventajas con pruebas
en escenarios reales tanto en interiores, exteriores como mapeado de escenarios subterraneos.Programa de Doctorado en Ingeniería Eléctrica, Electrónica y Automática por la Universidad Carlos III de MadridPresidente: Gerardo Fernández López.- Secretario: María Dolores Blanco Rojas.- Vocal: David Álvarez Sánche
An evolutionary approach to the extraction of object construction trees from 3D point clouds
In order to extract a construction tree from a finite set of points sampled on the surface of an object, we present an evolutionary algorithm that evolves set-theoretic expressions made of primitives fitted to the input point-set and modeling operations. To keep relatively simple trees, we use a penalty term in the objective function optimized by the evolutionary algorithm. We show with experiments successes but also limitations of this approach
FITTING A PARAMETRIC MODEL TO A CLOUD OF POINTS VIA OPTIMIZATION METHODS
Computer Aided Design (CAD) is a powerful tool for designing
parametric geometry. However, many CAD models of current
configurations are constructed in previous generations of CAD
systems, which represent the configuration simply as a collection of
surfaces instead of as a parametrized solid model. But since many
modern analysis techniques take advantage of a parametrization, one
often has to re-engineer the configuration into a parametric
model. The objective here is to generate an efficient, robust, and
accurate method for fitting parametric models to a cloud of
points. The process uses a gradient-based optimization technique,
which is applied to the whole cloud, without the need to segment or
classify the points in the cloud a priori.
First, for the points associated with any component, a variant of
the Levenberg-Marquardt gradient-based optimization method (ILM) is
used to find the set of model parameters that minimizes the
least-square errors between the model and the points. The
efficiency of the ILM algorithm is greatly improved through the use
of analytic geometric sensitivities and sparse matrix techniques.
Second, for cases in which one does not know a priori the
correspondences between points in the cloud and the geometry model\u27s
components, an efficient initialization and classification algorithm
is introduced. While this technique works well once the
configuration is close enough, it occasionally fails when the
initial parametrized configuration is too far from the cloud of
points. To circumvent this problem, the objective function is
modified, which has yielded good results for all cases tested.
This technique is applied to a series of increasingly complex
configurations. The final configuration represents a full transport
aircraft configuration, with a wing, fuselage, empennage, and
engines. Although only applied to aerospace applications, the
technique is general enough to be applicable in any domain for which
basic parametrized models are available
A Survey of Methods for Converting Unstructured Data to CSG Models
The goal of this document is to survey existing methods for recovering CSG
representations from unstructured data such as 3D point-clouds or polygon
meshes. We review and discuss related topics such as the segmentation and
fitting of the input data. We cover techniques from solid modeling and CAD for
polyhedron to CSG and B-rep to CSG conversion. We look at approaches coming
from program synthesis, evolutionary techniques (such as genetic programming or
genetic algorithm), and deep learning methods. Finally, we conclude with a
discussion of techniques for the generation of computer programs representing
solids (not just CSG models) and higher-level representations (such as, for
example, the ones based on sketch and extrusion or feature based operations).Comment: 29 page
Computational intelligence approaches to robotics, automation, and control [Volume guest editors]
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