Statistical shape analysis is a tool that allows to quantify the shape variability of a population of shapes. Traditional tools to perform statistical shape analysis compute variations that reflect both shape and posture changes simultaneously. In many applications, such as ergonomic design applications, we are only interested in shape variations. With traditional tools, it is not straightforwa...

as a covering method of buildings` roof, domed roofs have mostly been applied in iranian vernacular architecture and also in the middle east region according to adobe material abundance comparing with timber. furthermore, dome remains in the first place in architectural designs due to large area coverage and favorable thermal performance; so that it has been widely utilized in mosques, shrines,...

Pixel brightness variations in an image sequence depend both on the objects’ surface reflectance and on the motion of the camera and object. In the case of rigid shapes some proposed models have been very successful explaining the relation among these strongly coupled components. On the other hand, shapes which deform pose new challenges since the relation between pixel brightness variation wit...

We present a framework for shape alignment that generalizes several existing methods. We assume that the shape is a closed genus zero surface. Our framework requires a diffeomorphic surface mapping to the 2-sphere which preserves rotation. Our similarity measure is a global spherical cross-correlation function of surface-intrinsic scalar attributes, weighted by the cross-correlation of the para...

We propose a method of using shape adaptation for compression of light fields of 3-D objects. Shape adaptation is incorporated into two light field coders, both applying disparity compensation with an explicit geometry model, to improve the compression efficiency. The shape information can be derived at the decoder from an accurate geometry model. If the available geometry is inaccurate, we pro...

Three different reformulations of a free surface problem as shape optimization problems are considered. These give rise to three different cost functionals which apparently have not been exploited in literature. The shape derivatives of the cost functionals are explicitly determined. The gradient information is combined with the boundary variation method in a steepest descent algorithm to solve...

This paper deals with the problem of General Shape Analysis. Simple shape measures based on a minimum bounding rectangle are investigated so as to obtain and compare general shape characteristics. The goal of General Shape Analysis is to find for each test object the one or few most similar templates. Thanks to this we can determine general information about a shape, such as how rectangular it ...

The problem of immersing a simply connected surface with a prescribed shape operator is discussed. It is shown that, aside from some special degenerate cases, such as when the shape operator can be realized by a surface with one family of principal curves being geodesic, the space of such realizations is a convex set in an affine space of dimension at most 3. The cases where this maximum dimens...

Recently we developed a periodic surface model to assist the construction of nano structures parametrically for computer-aided nano-design. In this paper, we study the properties of periodic surfaces for degree elevation and reduction. Degree elevation approaches are developed to incrementally increase shape complexities, including native, variational, and boundary constrained elevations. A gen...