Fair path planning is one of the fundamental problems, with numerous applications in the fields of science, engineering and technology such as highway or railway designing, networks, robotics, GIS, navigation, CAD systems, collision detection and avoidance, animation, environmental design, communications, image processing, digital data compression, gear designing, and other disciplines. One of the main approaches to path planning is through the use of fair spiral splines. This book is composed from the Ph.D. thesis of author submitted at Kagoshima University Japan in March 2004. It aims to provide a valuable source and reference for undergraduate and graduate students of Computer Graphics, Geometric Modeling, Data Visualization, and Numerical Analysis. The book will also provide a useful source of ideas and techniques for those who seek further research and development in areas of Computer Aided Geometric Design and Path Planning. Resources for this book are available free of cost at author's home page http: //zulfiqar.8m.com.