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] ... differentiating (4. 17) and substituting (4. 27) and (4. 17) : xB.U 3rip [(P'T)(U'tP)] (4.40) ntP= ( 1-( p.T)2)3/2 - A( 1-( p.T)2)I/2' In the sp...

Ngày tải lên: 10/08/2014, 01:22

... 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...

Ngày tải lên: 10/08/2014, 01:22

... applied for Die Deutsche Bibliothek - CIP-Einheitsaufnahme Cipolla, Roberto: Active visual inference of surface shape / Roberto Cipolla. - Berlin ; Heidelberg ; New York ; Barcelona ; Budapest ... recovering surface shape . . . 71 3.5.1 Discriminating between fixed and extremal boundaries . . 7] 3.5.2 Reconstruction of surfaces 75 3.6 Real-time experimen...

Ngày tải lên: 10/08/2014, 01:22

... 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...

Ngày tải lên: 10/08/2014, 01:22

... recovering surface shape 73 Figure 3.14: Recovery of surface strip in vicinity of extremM boundary. From a minimum of three views of a curved surface it is possible to recover the 3D geometry of the ... 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...

Ngày tải lên: 10/08/2014, 01:22

... v~, vy - 7 7- 1 0 + T 0 1 + 2 sin it cos It 0 - 1 - sin It cos It curl&apos ;7 [ 0 -1 ] div -7 [ 1 0] def ~7[ cos2it sin2#] - 2 1 0 +T 0 1 + 7- sin2it -cos2# where curl'S, div~ and def ~7 represent ... 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~ -...

Ngày tải lên: 10/08/2014, 01:22

... Differential invariants of the image velocity field 1 27 The magnitude of the depth gradient determines the tangent of the slant of the surface (angle between the surface normal and the visual direction). ... 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 th...

Ngày tải lên: 10/08/2014, 01:22

... 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...

Ngày tải lên: 10/08/2014, 01:22

... 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...

Ngày tải lên: 10/08/2014, 01:22

... 184 Bibliography [ 67] [68] [69] [70 ] [71 ] [72 ] [73 ] [74 ] [75 ] [76 ] [77 ] [78 ] [79 ] M.P. DoCarmo. Differential Geometry of Curves and Surfaces. Prentice- Hall, 1 976 . L. Dreschler ... measuring small displace- ments of television images. IEEE Trans. on Information Theory, vol.IT- 22,no.5: 57 3-5 79 , 1 976 . J. Callahan and R. Weiss. A model fo...

Ngày tải lên: 10/08/2014, 01:22