In practice the relevant details of images exist only over a restricted range of scale. Hence it
is important to study the dependence of image structure on the level of resolution. It seems …

Differential computational geometry is a powerful tool in the modeling and representation of
curves, surfaces, and solid shapes. The methods and concepts of differential geometry have …

In this work, we investigate the visual appearance of real-world surfaces and the dependence
of appearance on the geometry of imaging conditions. We discuss a new texture …

This paper offers a quick review of the subject of “optic flow” in its conceptual and
computational aspects. The theory is evaluated in terms of possible applications in the …

The classical surface curvature measures, such as the Gaussian and the mean curvature at
a point of a surface, are not very indicative of local shape. The two principal curvatures (…

A mobile observer samples sequences of narrow-field projections of configurations in
ambient space. The so-called structure-from-motion problem is to infer the structure of these …

It is shown that a convolution with certain reasonable receptive field (RF) profiles yields the
exact partial derivatives of the retinal illuminance blurred to a specified degree. Arbitrary …

It is argued that the internal model of any object must take the form of a function, such that
for any intended action the resulting reafference is predictable. This function can be derived …

Subjects adjusted a local gauge figure such as to perceptually “fit” the apparent surfaces of
objects depicted in photographs. We obtained a few hundred data points per session, …

In this article we treat purely metrical properties of the visual image, eg the time changes of
the relative positions and orientations of image details. Self-induced movements of an …