Active Visual Inference of Surface Shape - Roberto Cipolla Part 10 pptx
Active Visual Inference of Surface Shape - Roberto Cipolla Part 10 pptx
... way.
9 The axis of expansion (#) of the deformation component and the
projection in the image of the direction of translation (/A) allow the
recovery of the tilt of the surface (5.28).
9 ... 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 surface...
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 ... solutions to the problem of
recovering reliable descriptions of curved surface shape. These have been de-
veloped from the analysis of visual motion and differ...
Active Visual Inference of Surface Shape - Roberto Cipolla Part 1 ppt
... applied for
Die Deutsche Bibliothek - CIP-Einheitsaufnahme
Cipolla, Roberto:
Active visual inference of surface shape / Roberto Cipolla. -
Berlin ; Heidelberg ; New York ; Barcelona ; Budapest ...
Author
Roberto Cipolla
Department of Engineering, University of Cambridge
Trumpington Street, CB2 1PZ Cambridge, UK
Cataloging-in-Publication data applied for...
Active Visual Inference of Surface Shape - Roberto Cipolla Part 2 pot
... 3D shape of surfaces in the vicinity of their apparent
contours. We describe the real-time implementations of these algorithms for use
in tasks involving the active exploration of visible surface ...
relate these first to the descriptions of local 3D shape developed from the differ-
ential geometry of surfaces and then to the analysis of visual motion of apparent...
Active Visual Inference of Surface Shape - Roberto Cipolla Part 3 docx
... the
shape of the rim, a convexity of the contour corresponds to a convex
patch of surface, a concavity to a saddle-shaped patch. Inflections of
the contour correspond to flexional curves of ... rs) -p.L(rs)
= -p.n8 (2.20)
2.5. The dynamic analysis of apparent contours 29
Equation (2.31) is derived in section 2.6.4. An alternative proof of the rela-
tionship between the...
Active Visual Inference of Surface Shape - Roberto Cipolla Part 6 potx
... geometry of the surface in the vicinity of ext~vmal boundary. The surface
is recovered as a family of s-parameter curves - the contour generators - and
t-parameter curves - portions of the
osculating ... "~
-1 50
Estimated radius of curvature (mm)
250 I
2oo i
I
150 '
i
loo I
I
(absolute)
/-
II (parallax)
!
-2 .5 -1 , 5- -0 ....
Active Visual Inference of Surface Shape - Roberto Cipolla Part 7 docx
... 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.m) 2)
p U.p] ... Sampling- Isolated texture only "samples" the surface at isolated points
- the surface could have any shape in between the points. Conversely,
a surfa...
Active Visual Inference of Surface Shape - Roberto Cipolla Part 9 doc
... .~P(4.70)
qtt. ap
= O-ts ~'~t'~v-t-2 ~ -~ -~ t .1.
-~
Apart from (~
[~) which we have seen determines the magnitude of the tan-
gential component of image curve velocity (and is not measurable) ... (deformation) components.
v~, vy - 7 7- 1 0 + T 0 1 +
2 sin it cos It 0 - 1 - sin It cos It
curl'7 [ 0 -1 ] div-7[ 1 0] def~7[cos2it sin2#]
-...
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 ar...
Active Visual Inference of Surface Shape - Roberto Cipolla Part 13 ppt
... the possibility
of obtaining robust inferences of surface geometry which are independent of any
assumption of viewer motion.
The proof depends on re-parameterising the spatio-temporal image ... (cOq)t.n+ C32q ~
(C.5)
qtt.n
= \ (-~ -Is] -~ t "n+2 ~ -~ - e -~ - .n.
0g
From (C.3) we see that (NI8) determines the magnitude of the tangential
component of i...
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