Dynamic Scale-Space Theories
نویسندگان
چکیده
Abs t r ac t . Image formation of a two-dimensional input image can be quantified by imposing an image induced connection and computing the associated torsion and curvature. The latter aspects of image formation are especially nonvanishing at sets of discontinuities and non-isolated singularities, such as ridges and ruts. Next dynamic scale-space theories for the input image are constructed on the basis of an image induced connection. Finally dynamic scale-space theories for the image formation are constructed that are coupled to the image formation itself.
منابع مشابه
Dynamic Scale - Space Paradigmversusmathematical Morphology ?
Image formation is described by means of modern geometry in terms of topological and geometric curvatures. These curvatures and derived equivalences are a quantisation of the set of rules for constructing the image in particular along discontinuity, singularity and bifurcation sets. A simpliication of the set of construction rules is proposed by applying a dynamic scale-space theory. Dynamic he...
متن کاملDynamic Scale-Space Paradigm
Image formation is described by means of modern geometry in terms of topological and geometric curvatures. These curvatures and derived equivalences are a quantisation of the set of rules for constructing the image in particular along discontinuity, singularity and bifurcation sets. A simpliication of the set of construction rules is proposed by applying a dynamic scale-space paradigm. Dynamic ...
متن کاملDynamic scale-space paradigms versus mathematical morphology?
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...
متن کاملBluman and Kumei's Nonlinear Scale-Space Theory
A nonlinear scale-space theory discovered by G. Bluman and S. Kumei is revisited and brought to the attention of computer vision community. Bluman and Kumei found that there exist a unique class of di usivity functions depending only on the local image grey-values that allows the related nonlinear scale-space of an image to be brought in a one-to-one correspondence with a linear scale-space of ...
متن کاملDefinition of General Operator Space and The s-gap Metric for Measuring Robust Stability of Control Systems with Nonlinear Dynamics
In the recent decades, metrics have been introduced as mathematical tools to determine the robust stability of the closed loop control systems. However, the metrics drawback is their limited applications in the closed loop control systems with nonlinear dynamics. As a solution in the literature, applying the metric theories to the linearized models is suggested. In this paper, we show that usin...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1997