Geometric Computation: Foundations for Design describes the mathematical and computational concepts that are central to the practical application of design computation in a manner tailored to the visual designer. Uniquely pairing key topics in code and geometry, this book develops the two key faculties required by designers that seek to integrate computation into their creative practice: an understanding of the structure of code in object-oriented programming, and a proficiency in the fundamental geometric constructs that underlie much of the computational media in visual design.

This book is meant to serve either as a textbook for an interdisciplinary course in Mathematics of Design, or as a trade book for designers. It will also be of interest for people interested in recreational mathematics showing the connection between mathematics and design. Topics from the book can also be adapted for use in pre-college mathematics. Each chapter will provide the user with ideas that can be incorporated in a design. Background materials will be provided to show the reader the mathematical principles that lie behind the designs.

This work takes a close look at a broad range of 20th-century examples of design, architecture and illustration, revealing underlying geometric structures in their compositions.

Geometric Programming is currently of interest in CAD (Computer Aided Design) and related areas such as computer graphics, modeling and animation, scientific simulation and robotics. A growing interest towards gemotric programming is forecast in the next few years with respect to market specific CAD applications (e.g. for architecture and mechanical CAD) and web-based collaborative design environments. PLaSM is a general purpose functional language to compute with geometry which the authors use throughout their text. The PLaSM language output produces VRML (Virtual Reality Modelling Language) files which are used to create virtual worlds. PLaSM blends the powerful algebraic approach to programming developed at IBM research, with a dimension-independent approach to geometric data structures and algorithms, This book shows that such geometric code can be surprisingly compact and easy to write. It begins by introducing the basic programming with PLaSM and algebraic and geometric foundations of shape modeling, the foundations of computer graphics, solid modeling and geometric modeling of manifolds follows and finally discusses the application of geometric programming. For each topic, the mathematics is given, together with the PLaSM implementation (usually with a few lines of readable code) and some worked examples. Combines excellent coverage of the theory with well-developed examples Numerous applications eg. scientific stimulation, robotics, CAD, Virtual Reality Worked exercises for each topic Uses PLaSM language (supplied) throughout to illustrate techniques Supported with web presence Written for Industrial Practioners developing CAD software, mechanical engineers in Graphics, CAD and CAM, undergraduate and postgraduate courses in Computer Science and Mechanical Engineering,as well as programmers involved with developing visualization software.

Foundations of Design by Jeff Davis provides a straightforward examination of the basic principles of two-dimensional design. Written in a clear and concise style, this textbook presents the elements of design in a logical order, with each chapter building on the next. The book employs a highly visual design with numerous diagrams that elegantly illustrate the fundamental design concepts. The diagrams are paired with relevant examples of contemporary art that connect theory to application. Foundations of Design has been written to be accessible by anyone with an interest in art or design. The efficient, practical approach provides useful guidance for beginning students and practicing professionals alike. The universal ideas on visual communication are appropriate for any creative field, including fine art, graphic design, advertising, illustration, web design, and photography. Foundations of Design is an essential addition to any art and design library. TABLE OF CONTENTS Chapter 1 - Design Chapter 2 - Format Chapter 3 - Line Chapter 4 - Shape Chapter 5 - Size Chapter 6 - Color Chapter 7 - Texture Chapter 8 - Composition Chapter 9 - Space Chapter 10 - Grouping Chapter 11 - Contrast Chapter 12 - Balance Chapter 13 - Emphasis Chapter 14 - Movement Chapter 15 - Unity

Computer Aided Geometric Design covers the proceedings of the First International Conference on Computer Aided Geometric Design, held at the University of Utah on March 18-21, 1974. This book is composed of 15 chapters and starts with reviews of the properties of surface patch equation and the use of computers in geometrical design. The next chapters deal with the principles of smooth interpolation over triangles and without twist constraints, as well as the graphical representation of surfaces over triangles and rectangles. These topics are followed by discussions of the B-spline curves and surfaces; mathematical and practical possibilities of UNISURF; nonlinear splines; and some piecewise polynomial alternatives to splines under tension. Other chapters explore the smooth parametric surfaces, the space curve as a folded edge, and the interactive computer graphics application of the parametric bi-cubic surface to engineering design problems. The final chapters look into the three-dimensional human-machine communication and a class of local interpolating splines. This book will prove useful to design engineers.

Tim Maudlin sets out a completely new method for describing the geometrical structure of spaces, and thus a better mathematical tool for describing and understanding space-time. He presents a historical review of the development of geometry and topology, and then his original Theory of Linear Structures.

Provides an overall perspective of how various elements contributing to highway design interact to create a basis for the preliminary route selection and design. This book presents projects from the initial provision of a topographic map and specifications through to the investment and user cost estimates of a particular highway.

This Unabridged Three Volume Set contains the extensive geometry-cosmology explorations of Robert Williams. Each book is signed by the author.