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Summary: RECONSTRUCTION OF VERMEER'S "THE MUSIC LESSON"
An application of projective geometry
ADITYA LIVIANDI (HT055260J)
Project Report for the fulfilment of M.Sc. (Mathematics) by Coursework
NATIONAL UNIVERSITY OF SINGAPORE
ACKNOWLEDGEMENTS
This project would not have been made possible without the help of my project supervisor,
A/P Helmer Aslaksen and his unending patience, especially whenever I forget to bring a
pencil.
CONTENTS
SUMMARY 1
1 BASIC PROJECTIVE GEOMETRY 2
2 POINTS IN A PROJECTIVE PLANE 3
3 - GENERALIZATION FOR ARBITRARY CAMERA POSITIONS 5
4 LINES ON THE PROJECTIVE PLANE 5
5 PARALLEL LINES IN THE PROJECTIVE PLANE 6
6 FINDING THE CAMERA DISTANCE 9
7 SLIGHT DETOUR, FINDING THE VANISHING POINTS 12
8 BACK TO FINDING THE CAMERA DISTANCE 14
9 FINDING THE MIRROR ANGLE 17
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