The density of the domestic building stock London is explored, moving from scale individual house and blocks flats, through larger geographical units, to complete boroughs. description highly detailed made using 3DStock method, which derives geometry digital maps LiDAR (laser measurements overflying aircraft). This means that accurate estimates floor areas can be used measure densities as Floor...

The geometric and statistical physical concepts of dynamic scale-space paradigms are presented and juxtaposed to those of mathematical morphology. It turns out that the dynamic paradigms can be applied to, substantiate and even generalise the morphological techniques and paradigms. In particular the importance of the dynamic scale-space concepts in granulometry by means of size densities or sta...

This paper proposes a general algebraic construction technique for image scale-spaces. The basic idea is to rst downscale the image by some factor using an invertible scaling, then apply an image operator (linear or morphological) at a unit scale, and nally resize the image to its original scale. It is then required that the resulting one-parameter family of image operators satis es the semigro...

This paper proposes a general algebraic construction technique for image scale-spaces. The basic idea is to rst downscale the image by some factor using an invertible scaling, then apply an image operator (linear or morphological) at a unit scale, and nally resize the image to its original scale. It is then required that the resulting one-parameter family of image operators satisses the semigro...

Diffusion-Weighted MRI (DW-MRI) measures local water diffusion in biological tissue, which reflects the underlying fiber structure. In order to enhance the fiber structure in the DW-MRI data we consider both (convection-)diffusions and Hamilton-Jacobi equations (erosions) on the space R o S of 3D-positions and orientations, embedded as a quotient in the group SE(3) of 3D-rigid body movements. T...

It has been observed that linear, Gaussian scale-space, and nonlinear, morphological erosion and dilation scale-spaces generated by a quadratic structuring function have a lot in common. Indeed, far-reaching analogies have been reported, which seems to suggest the existence of an underlying isomorphism. However, an actual mapping appears to be missing. In the present work a one-parameter isomor...

We present a filtering method for 2D curvilinear structures, called RORPO (Ranking the Orientation Responses of Path Operators). RORPO is based on path operators, a recently developed family of mathematical morphology filters. Compared with state of the art methods, RORPO is non–local and well adapted to the intrinsic anisotropy of curvilinear structures. Since RORPO does not depend on a linear...