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By Kevin T. McDonnell, Hong Qin (auth.), Francisco José Perales, Edwin R. Hancock (eds.)

ISBN-10: 3540001492

ISBN-13: 9783540001492

ISBN-10: 3540361383

ISBN-13: 9783540361381

This booklet constitutes the refereed lawsuits of the second one foreign Workshop on Articulated movement and Deformable items, AMDO 2002, held in Palma de Mallorca, Spain in November 2002.
The 21 revised complete papers offered have been rigorously reviewed and chosen for inclusion within the ebook. one of the themes addressed are geometric and actual deformable items, movement research, articulated versions and animation, visualization of deformable versions, 3D restoration from movement, unmarried or a number of human movement research and synthesis, purposes of deformable versions and movement research, face monitoring, restoration and popularity types.

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Extra resources for Articulated Motion and Deformable Objects: Second International Workshop, AMDO 2002 Palma de Mallorca, Spain, November 21–23, 2002 Proceedings

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Our aim here is to find a curve Γ across the plane Π that can be used as an integration path to reconstruct the height-function of the surface S. The projection of the curve Γ onto the surface S is denoted by ΓS . Further, suppose that κ(s) is the sectional curvature of the curve ΓS at the point Q with parametric co-ordinate s. We seek the path ΓS that minimises the Mumford-Shah [23] functional E(ΓS ) = α + βκ(s)2 ds (1) ΓS where α and β are constants. The probability of the path can be written as PΓS = exp[−E(ΓS )].

It has two terms. The first encourages the integration path to be one of minimum length. The second term encourages a path which minimises the total change in surface normal direction. There are clearly a number of ways in which the energy can be minimised. However, here we choose to make use of the fact that from Equation 6 it is clear that the energy function specifies a Markov chain on the sites of the Gauss map. In other words, the path can be Model Acquisition Using Shape-from-Shading 47 viewed as a diffusion on the Gauss map.

The field of unit surface normals for the surface S on the plane Π is denoted by N . Accordingly, and following do Carmo [24], we let TQ (S) represent the tangent plane to the surface S at the point Q which belongs to the curve ΓS . To compute the sectional curvature κ(s) we require the differential of the surface or Hessian matrix dN Q : TQ (S) → TQ (S). The maximum and minimum eigenvalues λ1 and λ2 of dN Q are the principal curvatures at the point Q. The corresponding eigenvectors e1 ∈ TQ (S) and e2 ∈ TQ (S) form an orthogonal basis on the tangent plane TQ (S).

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Articulated Motion and Deformable Objects: Second International Workshop, AMDO 2002 Palma de Mallorca, Spain, November 21–23, 2002 Proceedings by Kevin T. McDonnell, Hong Qin (auth.), Francisco José Perales, Edwin R. Hancock (eds.)


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