Object Recognition by Implicit Invariants
نویسندگان
چکیده
The use of traditional moment invariants is limited to a certain set of simple geometric transforms, such as rotation, scaling and affine transform. This paper presents a novel concept of so-called implicit moment invariants, which enable us to recognize objects under a broader set of geometric deformations.
منابع مشابه
IRWIN AND JOAN JACOBS CENTER FOR COMMUNICATION AND INFORMATION TECHNOLOGIES Recognition of 3D Objects Based on Implicit Polynomials
This work deals with 3D objects description and recognition by implicit polynomials (IPs). We explore the description abilities of existing 3D implicit polynomials fitting algorithms, Gradient-One, Min-Max and Min-Var, and suggest a modification for the Min-Max and Min-Var algorithms, so that they will be rotation invariant. We develop a new set of 3D rotation invariants that are linear combina...
متن کاملComputationally fast Bayesian recognition of complex objects based on mutual algebraic invariants
OBJECTS BASED ON MUTUAL ALGEBRAIC INVARIANTS Zhibin Lei, Daniel Keren, and David Cooper Division of Engineering, Brown University Providence, RI 02912 ABSTRACT An e ective approach has appeared in the literature for recognizing 2D curve or 3D surface objects of modest complexity based on representing an object by a single implicit polynomial of 3rd or 4th degree, computing a vector of Euclidean...
متن کاملAffine Invariant 3L Fitting of Implicit Polynomials
Combining implicit polynomials and algebraic invariants for representing and recognizing complicated objects proves to be a powerful technique. However, a basic requirement for using implicit polynomials for affine invariant recognition is to have an affine invariant fitting algorithm. In this paper, we study the problem of affine invariant fitting of an implicit polynomial to data. Received Ja...
متن کاملCovariant-Conics Decomposition of Quartics for 2D Object Recognition and Affine Alignment
This paper outlines a geometric parameterization of 2D curves where the parameterization is in terms of geometric invariants and terms that determine an intrinsic coordinate system. Thus, we present a new approach to handle two fundamental problems: single-computation alignment and recognition of 2D shapes under affine transformations. The approach is model-based, and every shape is first fit b...
متن کاملPractical Reliable Bayesian Recognition of 2D and 3D Objects Using Implicit Polynomials and Algebraic Invariants
| Patches of quadric curves and surfaces such as spheres, planes and cylinders have found widespread use in modeling and recognition of objects of interest in computer vision. In this paper, we treat use of more complex higher degree polynomial curves and surfaces of degree higher than two, which have many desirable properties for object recognition and position estimation, and attack the insta...
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 2007