Making Images With Mathematics: From Small Formulas to Digital and Virtual Creativity

This concise textbook teaches readers how to turn geometry into an image on a computer screen.

The exciting journey begins in the schools of the ancient Greek philosophers and describes the major events that changed people's perceptions of geometry. Readers will learn how to see geometry and colors beyond simple mathematical formulas and how to represent geometric shapes, transformations and motions by digital sampling of various mathematical functions. Special multiplatform visualization software developed by the author will allow readers to explore the exciting world of visual immersive mathematics, and the book software repository will provide a starting point for their own sophisticated visualization applications.

Topics and features now include:

• a section on interactive artistic shape modeling

• an extended section on interactive shape modeling with ShapeExplorer

• a section on creating models of virtual objects

• experiments in shape modeling using generative AI

Making Images with Mathematics serves as a self-contained text for a one-semester computer graphics and visualization course for computer science and engineering students, as well as a reference manual for researchers and developers.

Dr. Alexei Sourin is an associate professor at Nanyang Technological University, Singapore, and is on the editorial board of the Springer journal, The Visual Computer.