Customized TRS invariants for 2D vector fields via moment normalization
نویسندگان
چکیده
The behavior of vector fields under translation, rotation and scaling differs withrespect to the underlying application. Moment invariants that are customized tothe specific problem can be constructed by means of normalization.In this paper, we calculate general TRS (translation, rotation, and scaling) mo-ment invariants for two-dimensional vector fields. As an example, we show explicitlyhow to customize the result for the detection of flow field patterns.
منابع مشابه
Tensor Method for Constructing 3D Moment Invariants
A generalization from 2D to 3D of the tensor method for derivation of both affine invariants and rotation, translation and scaling (TRS) invariants is described. The method for generation of the 3D TRS invariants of higher orders is automated and experimentally tested.
متن کاملMoment Invariants for 3D Flow Fields
Moment invariants are popular descriptors for real valued functions. Their independence from certain transformations makes them a powerful tool for the recognition of patterns and shapes. It has recently been demonstrated that the basic ideas can also be transferred to vector valued functions. Vector moment invariants can be used to define and search for interesting flow structures. A generaliz...
متن کامل3d Zernike Moments and Zernike Aane Invariants for 3d Image Analysis and Recognition
Guided by the results of much research work done in the past on the performance of 2D image moments and moment invariants in the presence of noise, suggesting that by using orthogonal 2D Zernike rather than regular geometrical moments one gets many advantages regarding noise eeects, information suppression at low radii and redundancy , we have worked out and introduce a complete set of 3D polyn...
متن کاملA Hybrid Moment Method for Identification of 3d-objects from 2d-monocromatic Images
The classification of a desired 3D object using Hu-moment invariants is based on identifying from six reference libraries an object having the minimum distance to desired object. To decrease classification error, this paper describes a modified approach to identify a 3D object based on a hybrid of Hu and Zernike moment invariants as a feature vector. Zernike moment invariants are used to find t...
متن کاملAbu - Mostafa and Psal Tis : Image Normalization
The role of moments in image normalization and invariant pattern recognition is addressed. The classical idea of the principal axes is analyzed and extended to a more general definition. The relationship between moment-based normalization, moment invariants, and circular harmonics is established. Invariance properties of moments, as opposed to their recognition properties, are identified using ...
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:
- Pattern Recognition Letters
دوره 46 شماره
صفحات -
تاریخ انتشار 2014