Search results
Results from the WOW.Com Content Network
The fluctuations at temperature T c are scale-invariant, and so the Ising model at this phase transition is expected to be described by a scale-invariant statistical field theory. In fact, this theory is the Wilson–Fisher fixed point , a particular scale-invariant scalar field theory .
Alternative methods for scale-invariant object recognition under clutter / partial occlusion include the following. RIFT [38] is a rotation-invariant generalization of SIFT. The RIFT descriptor is constructed using circular normalized patches divided into concentric rings of equal width and within each ring a gradient orientation histogram is ...
Scale invariance is an exact form of self-similarity where at any magnification there is a smaller piece of the object that is similar to the whole. For instance, a side of the Koch snowflake is both symmetrical and scale-invariant; it can be continually magnified 3x without changing shape. The non-trivial similarity evident in fractals is ...
This property of () follows directly from the requirement that () be asymptotically scale invariant; thus, the form of () only controls the shape and finite extent of the lower tail. For instance, if L ( x ) {\displaystyle L(x)} is the constant function, then we have a power law that holds for all values of x {\displaystyle x} .
MCMD is designed to output two types of class labels (scale-variant and scale-invariant clustering), and: is computationally robust to missing information, can obtain shape- and scale-based outliers, and can handle high-dimensional data effectively. Coupled matrix and tensor decompositions are popular in multi-view feature engineering. [9]
Using tools from information geometry, the Jeffreys prior can be generalized in pursuit of obtaining priors that encode geometric information of the statistical model, so as to be invariant under a change of the coordinate of parameters. [9] A special case, the so-called Weyl prior, is defined as a volume form on a Weyl manifold. [10]
The renormalization group is intimately related to scale invariance and conformal invariance, symmetries in which a system appears the same at all scales (self-similarity), [a] where under the fixed point of the renormalization group flow the field theory is conformally invariant. As the scale varies, it is as if one is decreasing (as RG is a ...
The scale-invariant feature operator (SFOP) is based on two theoretical concepts: spiral model [2] feature operator [3] Desired properties of keypoint detectors: Invariance and repeatability for object recognition; Accuracy to support camera calibration; Interpretability: Especially corners and circles, should be part of the detected keypoints ...