Image Structure Generating Geometric Scale Spaces
نویسندگان
چکیده
Geometric scale spaces are derived for observed geometric structures and its properties. By means of the scale space representation of the jet of the input image connections are deened for implicitly deened structures highly correlated to the induced geometric structures of an object in D-dimensional Euclidean space. The evolution of surfaces and space curves with their properties is derived in the context of the induced spatial rescaling process. Similarly the scale behaviour of a space curve observed from two orthographic projective views is described.
منابع مشابه
Deep Structure from a Geometric Point of View
The geometry of “empty” scale space is investigated. By virtue of the proposed geometric axioms the generating PDE, the linear isotropic heat equation, can be presented in covariant, or geometrical form. The postulate of a metric for scale space cannot be upheld, as it is incompatible with the generating equation. Two familiar instances of scale spaces consistent with the geometric axioms are c...
متن کاملUnderstanding the structure of diffusive scale-spaces
This paper investigates structural properties of diiusive scale-spaces and develops a Riemannian description based on electromagnetic (EM) eld theory. The generalized diiusion equation deening photometric transitions is interpreted as a Lorentz gauge condition expressing the trace Lorentz-invariance of an EM quadripotential with covariant scalar and contravariant vector components, respectively...
متن کاملGeometric Moments in Scale-Spaces
In this paper we present a generalization of geometric moments in scale-spaces derived from the general heat diffusion equation, with a particular interest for the min/max flow. As an application of those theoretical developments, two multiscale moments are used to enhance the classical Euclidean registration process. They are computed from a multiscale representation which preserves the global...
متن کاملImage Structure of Scene Dynamics
The dynamics of a spatio-temporal scene is described by diierential and integral geometric invariants of the image structure of that scene at various resolutions. This image structure is represented by continuous, semi-discrete or discrete similarity jet-spaces of spatio-temporally bounded input images. These jet-spaces are found by extending classical scale space theory for spatio-temporally b...
متن کاملShape DNA: Basic Generating Functions for Geometric Moment Invariants
Geometric moment invariants (GMIs) have been widely used as basic tool in shape analysis and information retrieval. Their structure and characteristics determine efficiency and effectiveness. Two fundamental building blocks or generating functions (GFs) for invariants are discovered, which are dot product and vector product of point vectors in Euclidean space. The primitive invariants (PIs) can...
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