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On Image Contours of Projective Shapes
Published on Oct 29, 20142428 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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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