Geometry, Perspective Drawings, and Mechanisms. Questo articolo non è disponibile.Geometry, Perspective Drawings, and Mechanisms

The aim of this book is to examine the geometry of our world and, by blending theory with a variety of every-day examples, to stimulate the imagination of the readers and develop their geometric intuition. It tries to recapture the excitement that surrounded geometry during the Renaissance as the development of perspective drawing gathered pace, or more recently as engineers sought to show that all the world was a machine. The same excitement is here still, as enquiring minds today puzzle over a random-dot stereogram or the interpretation of an image painstakingly transmitted from Jupiter.The book will give a solid foundation for a variety of undergraduate courses, to provide a basis for a geometric component of graduate teacher training, and to provide background for those who work in computer graphics and scene analysis. It begins with a self-contained development of the geometry of extended Euclidean space. This framework is then used to systematically clarify and develop the art of perspective drawing and its converse discipline of scene analysis and to analyze the behavior of bar-and-joint mechanisms and hinged-panel mechanisms. Spherical polyhedra are introduced and scene analysis is applied to drawings of these and associated objects. The book concludes by showing how a natural relaxation of the axioms developed in the early chapters leads to the concept of a matroid and briefly examines some of the attractive properties of these natural structures.

It does provide ample opportunity for assignments, guiding teachers to design class projects involving perspective, binocular vision, or mechanisms that can engage students who otherwise may find geometry quite abstruse. This novel approach deserves serious consideration. --MAA Reviews

Students and instructors in mathematics can find an original approach to projective geometry and several applications. Students and specialists in computer science will become acquainted with an axiomatic way for the description of natural objects. The book is intended for students in mathematics, computer science and for lecturers and scientists who need a working knowledge of applied geometry. --Zentralblatt MATH