On Projective Cyclic Concomitants, or Surface Differential Invariants
نویسندگان
چکیده
منابع مشابه
Differential Invariants of Conformal and Projective Surfaces
We show that, for both the conformal and projective groups, all the differential invariants of a generic surface in three-dimensional space can be written as combinations of the invariant derivatives of a single differential invariant. The proof is based on the equivariant method of moving frames.
متن کاملλ-Projectively Related Finsler Metrics and Finslerian Projective Invariants
In this paper, by using the concept of spherically symmetric metric, we defne the notion of λ-projectively related metrics as an extension of projectively related metrics. We construct some non-trivial examples of λ-projectively related metrics. Let F and G be two λ-projectively related metrics on a manifold M. We find the relation between the geodesics of F and G and prove that any geodesic of...
متن کامل3-D Reconstruction Based on Projective Invariants
We present a new projective invariant-based technique for recovering depth information from stereo images. The basic idea of our method is to use intensity segments as primitives for stereo matching. To recover the depth information of intensity segments, two projective invariants are introduced. From the two invariants, we can derive a relation that should be satisfied between the matching pai...
متن کاملImage Projective Invariants
In this paper, we propose relative projective differential invariants (RPDIs) which are invariant to general projective transformations. By using RPDIs and the structural frame of integral invariant, projective weighted moment invariants (PIs) can be constructed very easily. It is first proved that a kind of projective invariants exists in terms of weighted integration of images, with relative ...
متن کاملPoint-based projective invariants
The paper deals with features of a 2-D point set which are invariant with respect to a projective transform. First, projective invariants for "ve-point sets, which are simultaneously invariant to the projective transform and to permutation of the points, are derived. They are expressed as functions of "ve-point cross-ratios. Then, the invariants for more than "ve points are derived. The algorit...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the London Mathematical Society
سال: 1888
ISSN: 0024-6115
DOI: 10.1112/plms/s1-20.1.131