Existence of book on connection projective geometry and perspective?

[nonequilibrium]

Hello,

I'm looking for a book on the connection between projective geometry and perspective. Many books vaguely mention perspective drawing as the historical reason for projective geometry, but they don't go into a deep connection between the two: they mostly just use it to argue the definition of a projective point.

But there must be a book that looks at the notions of projective mapping, projective coordinates, the mapping of n+2 points onto n+2 points in the n-dimensional projective space et cetera and link them to something having to do with perspective; this would create an intuitive notion for the concepts in projective geometry.

I asked my geometry professor for tips but it turns out he is also looking for such a book and hasn't found anything decent on it yet.

 

[jvicens]

Can anyone help?

Hello,

I would recommend "Perspective and Projective Geometry" by John Stillwell. This book delves into the connection between projective geometry and perspective drawing, exploring the historical development of projective geometry and its relationship to art and perspective. It also covers topics such as projective transformations and the projective geometry of conics. I believe this book will provide the intuitive understanding you are looking for. Additionally, "Perspective: A Practical Guide for Artists" by Rex Vicat Cole also touches on the connection between projective geometry and perspective in art, but may not go into as much depth as Stillwell's book. I hope this helps in your search for a comprehensive understanding of the relationship between projective geometry and perspective. Best of luck!