Taking a novel more appealing approach than current texts An Integrated Introduction to Computer Graphics and Geometric Modeling focuses on graphics modeling and mathematical methods including ray tracing polygon shading radiosity fractals freeform curves and surfaces vector methods and transformation techniques. The author begins with fractals rather than the typical line-drawing algorithms found in many standard texts. He also brings the turtle back from obscurity to introduce several major concepts in computer graphics. Supplying the mathematical foundations the book covers linear algebra topics such as vector geometry and algebra affine and projective spaces affine maps projective transformations matrices and quaternions. The main graphics areas explored include reflection and refraction recursive ray tracing radiosity illumination models polygon shading and hidden surface procedures. The book also discusses geometric modeling including planes polygons spheres quadrics algebraic and parametric curves and surfaces constructive solid geometry boundary files octrees interpolation approximation Bezier and B-spline methods fractal algorithms and subdivision techniques. Making the material accessible and relevant for years to come the text avoids descriptions of current graphics hardware and special programming languages. Instead it presents graphics algorithms based on well-established physical models of light and cogent mathematical methods.|An Integrated Introduction to Computer Graphics and Geometric Modeling | Computer Science