This tutorial describes the geometry and algorithms for generating line drawings from 3D models, focusing on occluding contours. The geometry of occluding contours on meshes and on smooth surfaces is described in detail, together with algorithms for extracting contours, computing their visibility, and creating stylized renderings and animations. Exact methods and hardware-accelerated fast methods are both described, and the trade-offs between different methods are discussed. The tutorial brings together and organizes material that, at present, is scattered throughout the literature. It also includes some novel explanations, and implementation tips. A thorough survey of the field of non-photorealistic 3D rendering is also included, covering other kinds of line drawings and artistic shading.

Drawing is the starting point for many kinds of tasks, for everyone from children making pictures to professional architects sketching ideas. Drawing seems to be fundamentally connected to how we represent the world visually. Most computer graphics focuses on realistic visual simulation, but over the past few decades, line drawing algorithms have matured, providing the ability to automatically create reasonable line drawings from 3D geometry. This tutorial provides a detailed guide to the mathematical theory and computer algorithms for line drawing of 3D objects. It focuses on the curves known as contours as they are the most important curves for line drawing of 3D surfaces. The authors describe the different algorithms required to compute and render these curves, before going on to explain boundary curves and surface-surface intersection curves. The tutorial concludes with other topics in 3D non-photorealistic rendering including: other types of curves, stroke rendering, and non-photorealistic shading. Line Drawings from 3D Models: A Tutorial is a concise, yet comprehensive, introduction to an increasingly important topic in computer graphics. The extensive bibliography is invaluable for readers wishing to further their own research in the area.

The updated edition of a contemporary approach to merging traditional hand drawing methods with 2-dimensional and 3-dimensional digital visualization tools. Jim Leggitt?s Drawing Shortcuts shows how communicating with hand drawings combined with digital technology can be ingeniously simple, and this new edition makes an already popular technique even better. Completely expanded with new chapters and a wealth of supporting images, this Second Edition presents practical techniques for improving drawing efficiency and effectiveness by combining traditional hand drawing methods with the latest digital technology, including 3-D modeling with SketchUp. This book?s step-by-step approach will sharpen and streamline your techniques whether you draw for pleasure, school or your design profession. Easy-to-follow instructions cover every aspect from the basics of drawing?such as composition, color, shading, hatching, and perspective?up to the most current technologies Incorporates Google SketchUp, Google Earth, computer generated renderings, digital scanners and printers Features new visuals from accomplished drawing experts Special new ?Gallery? section highlights the creative process with step-by-step examples of drawings Complete coverage of the ?Overlay and Trace Method,? ?Simple Composite Method,? ?Advanced Composite Method,? and ?Digital Hybrid Drawings? New matrices show alternative drawing techniques for specific visual effects such as Linework and Shading, Selecting the Right Views, Perspectives and Paraline Drawings, Drawing Detail, Camera Lenses, and Drawing Tools Generously enriched with detailed process drawings, examples, and more than 500 full-color images, Drawing Shortcuts, Second Edition will have you creating top-quality drawings faster and more effectively.

Line drawing interpretation is a challenging area with enormous practical potential. At present, many companies throughout the world invest large amounts of money and human resource in the input of paper drawings into computers. The technology needed to produce an image of a drawing is widely available, but the transformation of these images into more useful forms is an active field of research and development. Machine Interpretation of Line Drawing Images - describes the theory and practice underlying the computer interpretation of line drawing images and - shows how line drawing interpretation systems can be developed. The authors show how many of the problems can be tackled and provide a thorough overview of the processes underpinning the interpretation of images of line drawings.

Sketching is a natural and intuitive communication tool used for expressing concepts and ideas that are difficult to communicate through text or speech alone. In design applications, drawings are used at various stages of the design process: from the early concept drawings scribbled on a piece of paper to immersive interactions in which users manipulate and adjust the 3D form of an object in virtual or augmented reality environments. This variety in drawing activities brings about the need for different interpretation strategies that support not only the sketching activity itself, but also allow sketch-based interactions, such as sketch-based queries, to take place. In this book, we explore the different drawing approaches used in design and the algorithms required for processing and interpreting the different sketches and drawings in design. The book is divided into two parts. The first part focuses on sketching in the 2D domain. This includes the digitization of offline and paperbased sketches, techniques for online sketch recognition, observations of user drawing habits, algorithms for inferring depth from 2D drawings, as well as non-photorealistic rendering techniques that are then applied to sketch-based queries. The second part of the book focuses on 3D sketching in virtual or augmented reality spaces. Here, we present the processing and rendering of the 3D strokes, the different interaction devices available for 3D sketching, and look at different applications where immersive 3D sketching has been applied with success.

Based on the author’s considerable research, this book contains state-of-the-art reviews of work in drawing interpretation and discrete optimization. It covers both drawings of polyhedral objects as well as complex curved objects.

The completely updated, illustrated bestseller on architectural graphics with over 500,000 copies sold Architectural Graphics presents a wide range of basic graphic tools and techniques designers use to communicate architectural ideas. Expanding upon the wealth of illustrations and information that have made this title a classic, this Fourth Edition provides expanded and updated coverage of drawing materials, multiview drawings, paraline drawings, and perspective drawings. Also new to this edition is the author's unique incorporation of digital technology into his successful methods. While covering essential drawing principles, this book presents: approaches to drawing section views of building interiors, methods for drawing modified perspectives, techniques for creating accurate shade and shadows, expert styles of freehand sketching and diagramming, and much more.