scholarly journals Efficient 2-D DCT Computation from an Image Representation Point of View

10.5772/7043 ◽  
2009 ◽  
Author(s):  
G.A. Papakostas ◽  
D.E. Koulouriotis ◽  
E.G. Karakasis
Author(s):  
Vesselin Vatchev ◽  
Robert Sharpley

The intrinsic mode functions (IMFs) arise as basic modes from the application of the empirical mode decomposition (EMD) to functions or signals. In this procedure, instantaneous frequencies are subsequently extracted from the IMFs by the simple application of the Hilbert transform, thereby providing a multiscale analysis of the signal's nonlinear phases. The beauty of this redundant representation method is in its simplicity and extraordinary effectiveness in many important and diverse settings. A fundamental issue in the field is to better understand these demonstrated qualities of the EMD procedures and the elementary modes they produce. For example, it is easily observed that when an EMD procedure is applied to the sum of two arbitrary IMFs, the original modes are rarely reproduced in the generated collection of IMFs. An interesting question from a representation point of view may be stated as follows: for any given sufficiently smooth function and fixed n ≥2, when is it possible to represent the function as a sum of (at most) n intrinsic modes? A more interesting question is whether such a decomposition is possible when the extracted modes are constructed from a common formulation of the intrinsic properties of the function being analysed. We provide an answer to these questions for a relaxed version of IMFs, called weak IMFs , which has been shown to be characterized in terms of eigenfunctions of Sturm–Liouville operators. The objective of this study is to further extend that analogy to the relationship between sums of weak IMFs and coupled Sturm–Liouville systems . The construction of this decomposition also provides a guide to an alternate characterization of the instantaneous frequency and bandwidth.


Author(s):  
Gian Piero Zarri

NKRL is a semantic language expressly designed to deal with all sort of ‘narratives’, in particular with those (‘non-fictional narratives’) of an economic interest. From a knowledge representation point of view, its main characteristics consists in the use of two different sorts of ontologies, a standard, binary ontology of concepts, and an ontology of n-ary templates, where each template corresponds to the formal representation of a class of elementary events. Rules in NKRL correspond to high-level reasoning paradigms like the search for causal relationships or the use of analogical reasoning. Given i) the conceptual complexity of these paradigms, and ii) the sophistication of the underlying representation language, rules in NKRL cannot be implemented in a (weak) ‘inference by inheritance’ style but must follow a powerful ‘inference by resolution’ approach. After a short reminder about these two inference styles, and a quick introduction of the NKRL language, the chapter describes in some depth the main characteristics of the NKRL inference rules.


Robotica ◽  
2012 ◽  
Vol 31 (3) ◽  
pp. 455-463 ◽  
Author(s):  
Friedemann Groh ◽  
Konrad Groh ◽  
Alexander Verl

SUMMARYThis paper looks at the inverse kinematics problem of an a priori unknown 6R-Robot from the representation point of view. It describes a new representation of the Euclidean motion group. With this representation, the inverse kinematics problem can be treated entirely numerical. No symbolical methods are required.


2013 ◽  
Vol 117 (5) ◽  
pp. 453-465 ◽  
Author(s):  
Sandra Avila ◽  
Nicolas Thome ◽  
Matthieu Cord ◽  
Eduardo Valle ◽  
Arnaldo de A. Araújo

Author(s):  
Ming Zhang ◽  
Reda Alhajj

Content-Based Image Retrieval (CBIR) aims to search images that are perceptually similar to the querybased on visual content of the images without the help of annotations. The current CBIR systems use global features (e.g., color, texture, and shape) as image descriptors, or usefeatures extracted from segmented regions (called region-based descriptors). In the former case, descriptors are not discriminative enough at the object level and are sensitive to object occlusion or background clutter, thus fail to give satisfactory result. In the latter case, the features are sensitive to the image segmentation, which is a difficult task in its own right. In addition, the region-based descriptors are still not invariant to varying imaging conditions. In this chapter, we look at the CBIR from the object detection/recognition point of view and introduce the local feature-based image representation methods recently developed in object detection/recognition area. These local descriptors are highly distinctive and robust to imaging condition change. In addition to image representation, we also introduce the other two key issues of CBIR: similarity measurement for image descriptor comparison and the index structure for similarity search.


2013 ◽  
Vol 278-280 ◽  
pp. 1275-1281
Author(s):  
Dao Qing Sheng ◽  
Hua Cheng

In this paper, a novel 3D face recognition method is proposed from the sparse representation point of view. Under the framework of sparse representation, the recognition problem is transformed to solve the problem of minimization L0-norm. Three types of facial geometrical features are extracted to describe 3D faces. According to the extracted features, 3D face recognition is conducted by applying to the ranking strategy of Fisher linear discriminant analysis. The experiments employed BJUT-3D datasets demonstrate the effectiveness of the proposed method.


1962 ◽  
Vol 14 ◽  
pp. 169-257 ◽  
Author(s):  
J. Green

The term geo-sciences has been used here to include the disciplines geology, geophysics and geochemistry. However, in order to apply geophysics and geochemistry effectively one must begin with a geological model. Therefore, the science of geology should be used as the basis for lunar exploration. From an astronomical point of view, a lunar terrain heavily impacted with meteors appears the more reasonable; although from a geological standpoint, volcanism seems the more probable mechanism. A surface liberally marked with volcanic features has been advocated by such geologists as Bülow, Dana, Suess, von Wolff, Shaler, Spurr, and Kuno. In this paper, both the impact and volcanic hypotheses are considered in the application of the geo-sciences to manned lunar exploration. However, more emphasis is placed on the volcanic, or more correctly the defluidization, hypothesis to account for lunar surface features.


1984 ◽  
Vol 75 ◽  
pp. 331-337
Author(s):  
Richard Greenberg

ABSTRACTThe mechanism by which a shepherd satellite exerts a confining torque on a ring is considered from the point of view of a single ring particle. It is still not clear how one might most meaningfully include damping effects and other collisional processes into this type of approach to the problem.


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