Book Image

Learning SciPy for Numerical and Scientific Computing

By : Francisco J. Blanco-Silva
Book Image

Learning SciPy for Numerical and Scientific Computing

By: Francisco J. Blanco-Silva

Overview of this book

<p>It's essential to incorporate workflow data and code from various sources in order to create fast and effective algorithms to solve complex problems in science and engineering. Data is coming at us faster, dirtier, and at an ever increasing rate. There is no need to employ difficult-to-maintain code, or expensive mathematical engines to solve your numerical computations anymore. SciPy guarantees fast, accurate, and easy-to-code solutions to your numerical and scientific computing applications.<br /><br />"Learning SciPy for Numerical and Scientific Computing" unveils secrets to some of the most critical mathematical and scientific computing problems and will play an instrumental role in supporting your research. The book will teach you how to quickly and efficiently use different modules and routines from the SciPy library to cover the vast scope of numerical mathematics with its simplistic practical approach that's easy to follow.<br /><br />The book starts with a brief description of the SciPy libraries, showing practical demonstrations for acquiring and installing them on your system. This is followed by the second chapter which is a fun and fast-paced primer to array creation, manipulation, and problem-solving based on these techniques.<br /><br />The rest of the chapters describe the use of all different modules and routines from the SciPy libraries, through the scope of different branches of numerical mathematics. Each big field is represented: numerical analysis, linear algebra, statistics, signal processing, and computational geometry. And for each of these fields all possibilities are illustrated with clear syntax, and plenty of examples. The book then presents combinations of all these techniques to the solution of research problems in real-life scenarios for different sciences or engineering — from image compression, biological classification of species, control theory, design of wings, to structural analysis of oxides.</p>
Table of Contents (15 chapters)

Chapter 7. SciPy for Computational Geometry

In this chapter we will cover the routines in the scipy.spatial module that deal with the construction of triangulations of points in spaces of any dimension, and the corresponding convex hulls. The procedure is simple; given a set of m points in the n-dimensional space (which we represent as an m x n NumPy array), we create the scipy.spatial class Delaunay, containing the triangulation formed by those points.

>>> data = scipy.stats.randint.rvs(0.4,10,size=(10,2))
>>> triangulation = scipy.spatial.Delaunay(data)

Any Delaunay class has the basic search attributes such as points (to obtain the set of points in the triangulation), vertices (that offers the indices of vertices forming simplices in the triangulation), neighbors (for the indices of neighbor simplices for each simplex—with the convention that "-1" indicates no neighbor for simplices at the boundary).

More advanced attributes, for example convex_hull, indicate the...