Analytical Geometry and Curve Fittings - From Coordinates to Equations in 2D, 3D and higher Dimensions

Analytical Geometry and Curve Fittings -

From Coordinates to Equations in 2D, 3D and higher Dimensions

This book is a comprehensive guide with fully solved examples on the mathematical foundations of

· Coordinate Measuring Machines (CMM)

· Profile Projectors

· Complex Shape Measurement

· Computer Aided Design (CAD)

· Curve Fitting of any order

This book is the culmination of more than twenty years of passion for uncovering the mathematical foundations behind Coordinate Measuring Machines (CMM), profile projectors, and curve fitting. Driven by the need to enhance the capabilities of these instruments for specialized applications, I developed my own algorithms—extending their use beyond traditional measurement systems. These innovations enabled complex measurements directly on CNC machines without relying on CMMs, and inspired the creation of numerous Excel Add-ins and other practical tools.

Whether your work involves CMMs, profile projectors, research and development, quality control, reverse engineering, CAD/CAM, CNC machining, Excel-based solutions, 3D printing, or artificial intelligence systems, this book equips you with the mathematical tools to measure, model, and master complexity across dimensions.