„… 3.1.2, is used as a feature to classify normal and abnormal brains using a dictionary learning approach …” „… dictionary, this feature vector is classified a normal or abnormal case. Let Dc be a dictionary n × Kc matrix …” „… prior knowledge. Furthermore, beside the segmentation of brain structures, the classification of normal …”

„… , we focus on automatic segmentation approaches using local and global image features as prior …” „… of MRI sequences of the same patient (brain with glioma tumor). The appearance of normal and abnormal …” „… development of the brain and the volumetric analysis of normal brains. Brain image segmentation is also useful …”

„… algorithm using a dictionary learning approach. This part is applied to solve a multi-label brain tumor …” „… surrounding the tumor) lead to a mass effect on the normal brain tissues. Thus, due to clinical relevance, the …” „… . of biological information of the normal brain and tumor tissues [39]. The appearance of glioma …”

„… fault-free case (Wolfram, 2002). A symptom is the deviation of the generated features from the normal …” „… faults (Wolfram, 2002). In comparison, the model-based approach allows for a deeper and broader …” „… , the main approaches based on process models used throughout this work are covered in more detail …”

„… eccentricity signatures and use a support vector machine to predict the type and the degree of eccentricity …” „… eccentricities, with their approach it is also possible to detect mixed-eccentricities. A review of methods for …” „… analysis, model- as well as knowledge-based approaches. As for other areas of fault detection of electrical …”

„… (2011)). Utilization of a PRBS leads to a disturbance of the normal drive operation, which can not be …” „… method for reliable winding resistance measurement during standstill as well as during normal operation …” „… parameter in the parameter vector. The resistance and the ux linkage both depend on temperature. The self …”

„… denotes the product of the unit normal vector n and the factor originating from the coordinate …” „… follower loads by expressing the normal vectors n̂ as J F−TN̂ and applying standard rules for …” „… points are determined such that the boundary curves s (i) j are orthogonal to the given normal vectors …”

„… interpolations and sampled functions (polynomial f(x, y, z) = x2 + y3 + z4 and normal vector). these source …” „… geometries, the polynomial f(x) polynomial = x2 + y3 + z4 (5.17) as well as the respective normal vector are …” „… Numerical investigations the normal vector for the cube is not well defined along its edges and at its …”

„… these laws are applied. In view of the partitioned solution approach, this leads to separate subproblems …” „… difference between monolithic and partitioned solution approaches is illustrated and a common notation for a …” „… partitioned solution approach is discussed in detail. Like the coupling software introduced there, it is …”

„… 6 Applications In this chapter, the partitioned solution approach is applied to investigate the …” „… study is performed in order to demonstrate the applicability of the approach for larger scale problems …” „… demonstrating the usage of the partitioned solution approach this provides references for a later investigation …”

„… (2014), pp. 669–681. [28] S. Brändli, M. Abdel-Maksoud, and A. Düster. “A FEM-BEM approach for Fluid …” „… . Bungartz, F. Lindner, M. Mehl, and B. Uekermann. “A plug-and-play coupling approach for parallel …” „… approach for electro-thermo-mechanical problems”. In: Archive of Applied Mechanics 85 (2015), pp. 1075–1101 …”

„… , Mixed-integer nonlinear programming, Normal vector approach, Robust optimization In this work a systematic …” „… of freedom SA spectral abscissa NVA normal vector approach CV controlled variable MV manipulated …” „… vector approach . . . . . . . . . . 82 5.4 Eigenvalue optimization …”

„… predefined small number for -optimality. 5.3.3 A robust design method: Normal vector approach The normal …” „… vector approach (NVA) [113, 119] is a robust design method for dynamic systems. In this method, normal …” „… 5.1: A geometric illustration of the normal vector approach. The figure is drawn in the space of …”

„… first step. The resulting uncertain problem is solved by applying the normal vector approach [120 …” „… ]. Advantage of this two-step hybrid solution strategy is that, the normal vector approach in the second step …” „… two-step solution strategy (cf. Section 5.6), we directly use the normal vector approach proposed in [120 …”

„… treating the SIP (cf. Eq. (5.100)) is applied before applying the normal vector approach. This intermediate …” „… the critical boundary is not in the selected 2-dimensional subspace, but along the normal vector …” „… vector approach is based on Eq. (5.101). Compared to the first step, the second step is computationally …”

„… by applying the normal vector approach, which guarantees robust dynamic properties. A great advantage …” „… of applying this two-step hybrid method is that, the normal vector approach can be properly …” „… approach by using simulations. Simulation 134 7.2 Future research directions studies show that the …”

„… . Marquardt. A normal vector approach for integrated process and control design with uncertain model …” „… , 1972. [53] J. Gerhard, W. Marquardt, and M. Mönnigmann. Normal vectors on critical manifolds for …” „… , 2004. 165 Bibliography [119] M. Mönnigmann and W. Marquardt. Normal vectors on manifolds of critical …”

„… is well defined because the normal vector r is well defined under TC.). Denote z̄′ = (x̄′T , ȳ′T )T …” „… flowrate variables evaluated at point y ∗ (elements of q in vector y) remain non-zero inside Uy∗ and only …” „… denote the vector space of nxi-by-nxi real matrix. The inner structure of Jid(y ∗) with diagonal block …”

„… vertex normals of the nominal model and those of the Skin Model Shape. Indeed, this approach should not …” „… by a vector f (t) at certain discrete points in T . A straightforward approach to perform this is to …” „… Shapes is conceptualised, before approaches for the virtual representation, the visualisation, and the …”

„… , . . . , n; j = 1, . . . , F , (5.5) and its normal vector is denoted by nfj∗ . In contrast to other …” „… plane is shiqed in the direction of its normal vector nfj∗ along the flatness value. By doing so, a …” „… normal vector of the flatness tolerance zone nfj∗ is equal to the normal of the associated plane of the …”

„… this, the worst-case limits of the vector loop approach can be found as max(pos) = 4.00. In contrast to …” „… ‡ G using the vector loop approach. It can be found, that Table 7.3: Considered Tolerances in the …” „… different tolerance analysis approaches, such as the vector loop approach, the variational model, the matrix …”

„… (Point-wise), Height lρ Correlation Length m Module n (Vertex) Normal Vector X Abbreviations and Symbols p …” „… Tolerance Analysis based on Skin Model Shapes 3 1.4 7e Approach: Scope and Outline of the Work …” „… regarding the GPS Standards . . . . . . . . . . . . . . . 26 2.2.4 Further Approaches for the Specification …”

„… approaches, that have been proposed during the last decades. 7e aim of this chapter is to provide an overview …” „… approaches and tools for the computer-aided tolerancing with a focus on the computer-aided tolerance analysis …” „… development approaches, concurrent engineering workflows [RLW91, Soh92, GRDN97, Smi97], and predictive …”

„… loss-cost of a non-symmetrical functional requirement with a statistical tolerancing approach. In Giordano …” „… Production CPI 2001, Fez (Maroc), Paper No. 8, 2001. [And96] Andersson, P. A semi-analytic approach to robust …” „… Approach. In Houten, F. and Kals, H., editors, Global Consistency of Tolerances: Proceedings of the 6th …”