Active Visual Inference of Surface Shape - Roberto Cipolla Part 2 pot
Active Visual Inference of Surface Shape - Roberto Cipolla Part 2 pot
... only one branch of
the cusp is visible and the contour ends abruptly (see later, figure 2. 5) [ 129 , 120 ].
2. 2 .2 Surface geometry
In the following, descriptions of local 3D shape are developed ...
14 Chap. 2. Surface Shape from the Deformation of Apparent Contours
Figure 2. 1: A smooth curved surface and its silhouette.
A single image of a smooth curved surfac...
Active Visual Inference of Surface Shape - Roberto Cipolla Part 6 potx
... "~
-1 50
Estimated radius of curvature (mm)
25 0 I
2oo i
I
150 '
i
loo I
I
(absolute)
/-
II (parallax)
!
-2 .5 -1 , 5- -0 .5 0,5 1.5 2. 5
-5 0 i Error in rotation (mrad)
!
-1 00 ... recovering surface shape 71
Estimated radius of curvature (ram)
I
25 0
I~.(absolute) 20 0 i
"~.
150 '
\~ 1
O0 '
ill
-2 .5 -1...
Active Visual Inference of Surface Shape - Roberto Cipolla Part 14 potx
... parameters of a rigid
planar patch 2 : singular value decomposition. IEEE Trans. on Acoustics,
Speech and Signal Processing, ASSP-30(4): 52 5-5 34, 19 82.
[21 0]
[21 1]
[2 2]
[21 3]
[21 4]
[21 5]
[21 6] ... Human-Computer Interaction. Proceedings,
1995. VIII, 20 3 pages. 1995.
VOL. 1016: R. Cipolla, Active Visual Inference of Surface
Shape. XII, 194 page...
Active Visual Inference of Surface Shape - Roberto Cipolla Part 1 ppt
...
2. 2 .2 Surface geometry 17
2. 2.3 Imaging model 20
2. 2.4 Viewer and reference co-ord~nate systems 21
2. 3 Geometric properties of the contour generator and its projection 21
2. 3.1 Tangency 22 ...
2. 3.1 Tangency 22
2. 3 .2 Conjugate direction relationship of ray and contour generator 22
2. 4 Static properties of apparent contours 23
2. 4.1 Surface normal 26
2....
Active Visual Inference of Surface Shape - Roberto Cipolla Part 3 docx
...
Substituting (2. 27) and (2. 29) into the definition of
apparent
curvature (2. 23)
and normal curvature (2. 26) we obtain an alternative form of (2. 24):
gP= [ 1-( P.lr-~ )2] " (2. 30)
A similar ...
sign(t~ n)
= -sign(w.L(w))
= -( a)Usign(g t) - 2aj31rslsign(p.L(rs) ) - (/31rsl)2sign(n s)
= -( a)2sign(n t) - (/3]rs D2sign(n s) (2. 32)
since by the
conj...
Active Visual Inference of Surface Shape - Roberto Cipolla Part 7 docx
... (4 .20 ) we can solve for a:
N.n p
(1 - (p.m)~)
a p
a -~ -( 1- (p.m )2) .
(4.37)
Differentiating (4 .20 ) and rearranging we can recover the other component, /3:
at p -2 n ~ ( 1-( p.m )2) ' /2] - ...
(p.T )2) 3 /2
B.p (4 .22 )
(1 -
(p.T )2) 3 /2& quot;
A similar result is described in [ 122 ]. Under orthographic projection the ex-
pression is the same...
Active Visual Inference of Surface Shape - Roberto Cipolla Part 9 doc
... (5 .2) to (5.13) we have:
U1
U0
~-~ 2
A
U2
v0
- + f~1
A
curl~ = -2 ~3 + (-VlAy + U2A~) (5.16)
A2
U3 U1A~ + U~Ay
diw7 = 2- ~ - + A2 (5.17)
(UtA~ - U2Ay)
(5.18)
(def~7) cos 2#
= %2
(def~7) ... terms of the new
parameterisation.
CO2q (4.69)
qtt -~ CO2t 8
02S 2 02q
02t 8 coq _~ss t-l- (0_~___7~ s] ",~ / c92q CO COq
(COS)2CO2q CO~8 0 (COq) .~V...
Active Visual Inference of Surface Shape - Roberto Cipolla Part 10 pptx
... orientation:
eurlq = 2t2.q+FA A (5 .25 )
diw7 - 2U.q
+ F.A (5 .26 )
debt = IFIIAI (5 .27 )
where # (which specifies the axis of maximum extension) bisects A and F:
LA +/F
# -
2 (5.2s)
The geometric ... Differential invariants of the image velocity field 127
The magnitude of the depth gradient determines the tangent of the
slant
of the
surface (angle between the...
Active Visual Inference of Surface Shape - Roberto Cipolla Part 11 pptx
... interpretation of random-dot stereograms have shown that
even with sparse data the human visual system arrives at unique interpretations
of surface shape - the perception of dense and coherent surfaces ... whereas the interpretation of the
surface consistency theory is that the surface has at most one surface inflection
in the absence of zero-crossings [ 32] . The...
Active Visual Inference of Surface Shape - Roberto Cipolla Part 12 pdf
... velocities from the output of a set of spatio-temporal filters. A bank
of 24 spatio-temporal Gabor filters runs continuously in each neighbour-
hood of a time-varying image. Each of the filters is tuned ... contour of objects made of gen-
eralised cylinders can be used to determine the sign of curvature of the
surface.
The disadvantages of these methods is that they a...
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