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On Image Contours of Projective Shapes
Published on 2014-10-292434 Views
This paper revisits classical properties of the outlines of solid shapes bounded by smooth surfaces, and shows that they can be established in a purely projective setting, without appealing to Euclide
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Presentation
On Image Contours of Projective Shapes00:00
What does the occluding contour tell us about shape? - 100:07
What does the occluding contour tell us about shape? - 201:38
Are quantitative measurements necessary?02:17
Projective geometry03:55
Why should we care?04:35
The local projective shape of smooth curves05:10
Smooth curves bounding solid regions have a well defined inside and outside - 106:13
Smooth curves bounding solid regions have a well defined inside and outside - 207:23
The local projective shapeof smooth surfaces07:39
Smooth surfaces bounding solid 3D shapes have a well defined inside and outside08:39
The projective Gauss map primal -> dual - 109:01
The projective Gauss map primal -> dual - 210:13
The projective Gauss map primal -> dual - 310:47
The projective Gauss map primal -> dual - 411:06
The projective Gauss map primal -> dual - 511:54
The projective Gauss map primal -> dual - 612:03
The projective Gauss map primal -> dual - 712:24
The projective Gauss map primal -> dual - 813:08
The projective Gauss map primal -> dual - 914:10
The projective Gauss map primal -> dual - 1015:12
The projective Gauss map primal -> dual - 1115:23
Going further15:41