Libros de Geometría, página 16 de 23

A basic problem in computer vision is to understand the structure of a real world scene given several images of it. Techniques for solving this problem are taken from projective geometry and photogrammetry. Here, the authors cover the geometric principles and their algebraic representation in terms of camera projection matrices, the fundamental matrix and the trifocal tensor. The theory and methods of computation of these entities are discussed with real examples, as is their use in the reconstruction of scenes from multiple images. The new edition features an extended introduction covering the key ideas in the book (which itself has been updated with additional examples and appendices) and significant new results which have appeared since the first edition. Comprehensive background material is provided, so readers familiar with linear algebra and basic numerical methods can understand the projective geometry and estimation algorithms presented, and implement the algorithms directly from the book.

La necesidad de representar con claridad y sencillez formas y supeficies de dimensiones verticales mucho más pequeñas que las horizontales, motivó la aparación del sistema acotado, como caso particular del diedrico, sustituyendo la proyeccion vertical o alzado del punto, por su altura o ''cota'' respecto al plano horizontal de proyeccion o de referencia.

Soy un polígono y tengo nueve diagonales. ¿Sabes cuántos lados tengo? Otros 99 enigmas y sus respectivas soluciones acompañan a éste, clasificados en cuatro grandes apartados según si nivel de dificu

This practical introduction to the techniques needed to produce mathematical illustrations of high quality is suitable for anyone with a modest acquaintance with coordinate geometry. The author combines a completely self-contained step-by-step introduction to the graphics programming language PostScript with advice on what goes into good mathematical illustrations, chapters showing how good graphics can be used to explain mathematics, and a treatment of all the mathematics needed to make such illustrations. The many small simple graphics projects can also be used in courses in geometry, graphics, or general mathematics. Code for many of the illustrations is included, and can be downloaded from the book's web site: www.math.ubc.ca/~cass/graphics/manual. Mathematicians, scientists, engineers, and even graphic designers seeking help in creating technical illustrations need look no further.

Recomendados en numerosas universidades, estos libros se han convertido en clásicos de la geometría. El docente encontrará en sus dos tomos todos los conocimientos necesarios para su labor.

This well-accepted introduction to computational geometry is a textbook for high-level undergraduate and low-level graduate courses. The focus is on algorithms and hence the book is well suited for students in computer science and engineering. Motivation is provided from the application areas: all solutions and techniques from computational geometry are related to particular applications in robotics, graphics, CAD/CAM, and geographic information systems. For students, this motivation will be especially welcome. Modern insights in computational geometry are used to provide solutions that are both efficient and easy to understand and implement. All the basic techniques and topics from computational geometry, as well as several more advanced topics, are covered. The book is largely self-contained and can be used for self-study by anyone with a basic background in algorithms. In the second edition, besides revisions to the first edition, a number of new exercises have been added.

La filosofía de esta monografía está centrada prioritariamente en presentar la materia expuesta con un planteamiento ordenado y didáctico, reforzado con ejemplos y aplicaciones que colaboren a la clarificacion de los conceptos vertidos.

La convexidad juega un papel muy relevante en distintas áreas de las Matemáticas, tales como Análisis Funcional, Optimización, Teoría de la Medida y Probabilidad, Teoría de Grafos... Además, tiene numerosas aplicaciones mas alla de las Matematicas, en areas tan diversas como Computacion, Tomografia, Economia o Cristalografia. Nuestra intencion con este libro es ofrecer una recopilacion de algunos de los principales resultados de Geometria Convexa y Discreta, tomando como nucleo de cada una de estas disciplinas la Teoria de Brunn-Minkowski y la Geometria de Numeros, respectivamente. Pretendemos que este texto sirva de ayuda, tanto a aquellos lectores que quieran iniciarse en la investigacion en este campo, como a los que solo necesiten estudiar determinados temas por su relacion con otras ramas de las Matematicas. Con esta idea, todos los capitulos incorporan una amplia relacion de ejercicios que complementan y refuerzan cada uno de los temas estudiados, recogiendose ademas soluciones parciales e indicaciones para la resolucion de los mismos en un apendice final.