Requires only a basic knowledge of mathematics and is geared toward the general educated specialists. Includes agallery of color images and Mathematica code listings. Computer graphics is important in many areas including engineering design, architecture, education, and computer art and animation. This book examines a wide array of current methods used in creating real-looking objects in the computer, one of the main aims of computer graphics. Good foundational mathematical introduction to curves and surfaces; no advanced math required. Topics organized by different interpolation/approximation techniques, each technique providing useful information about curves and surfaces. Exposition motivated by numerous examples and exercises sprinkled throughout, aiding the reader. Includes a gallery of color images, Mathematica code listings, and sections on curves and surfaces by refinement and on sweep surfaces. This engaging text is geared to a broad and general readership of computer science/architecture engineers using computer graphics to design objects, programmers for computer gamemakers, applied mathematicians, and students majoring in computer graphics and its applications. It may be used in a classroom setting or as a general reference.