Shape similarity assessment is a fundamental geometric reasoning problem that finds application in several different product design and manufacturing applications. A computationally efficient way to assess shape similarity is to first abstract 3D object shapes into shape signatures and use shape signatures to perform similarity assessment. Several different types of shape signatures have been d...

The problem of efficiently finding images that are similar to a target image has attracted much attention in the image processing community and is rightly considered an information retrieval task. However, the problem of finding structure and regularities in large image datasets is an area in which data mining is beginning to make fundamental contributions. In this work, we consider the new pro...

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 ...