La dimensione virtuale: dagli affreschi ai videogames
About the CourseIn this course some scientific contributions, mathematical in particular, to the development of artistic techniques, with a focus on perspective. From a didactical point of view, the core of the course is composed by spatial geometrical transformations and to projections and sections, but it also includes concepts of elementary geometry that were crucial to study Optics and vision, in Euclid's works. Some techniques to build bidimensional perspective images in painting, sculpture and architecture will be shown, then a theoretical approach to the practical problems will be introduced that is useful to give more accuracy and generality to the methods. Once built up a solid and effective theory you can go beyond art, and you have in your hands a priceless cultural product, that is projective geometry. It is at the basis of computer vision, that is important in the design of software for artificial vision, with important application in technology, even in improving audio devices.
- To know and comprehend the theory behind the techniques of the perspective.
- To know and comprehend the contribution given by a scientific approach to the study of perspective in the past and nowadays.
- To know the main theorems of Euclide Optics and the fundamental results leading first to a deep knowledge of perspective deformations and secondly to the Projective Geometry as a theory.
Background and RequirementsCorso BASE rivolto a studenti di scuola secondaria di secondo grado, universitari del primo anno e insegnanti, richiede conoscenze elementari di Geometria sintetica del piano e dello spazio.
Dispensa di ripasso di Geometria elementare (fornita nel corso).
Dispensa di approfondimento di Geometria sulle trasformazioni dello spazio (fornita nel corso).
Lettura consigliata: Ghione, F., Catastini, L. (2004). Le geometria della visione. Scienza, Arte, Didattica. Springer.