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Aron Sommer - Backprojection Autofocus of Large Ships with Arbitrary Motion for Synthetic Aperture Radar

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Aron Sommer

Backprojection Autofocus of Large Ships with Arbitrary Motion for Synthetic Aperture Radar

Series: Informatik/ Kommunikation

Volume 867 2020

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Optimization of Fast Factorized Backprojection S. 40-74

„… , the following factorization parameters of the FBP algorithm have to be chosen in a clever way: the …” „… aperture factorization, the image factorization and the number of stages. The aperture factorization …” „… describes how many apertures are combined to a new subaperture in each stage. The image factorization in …”

Conclusions S. 112-116

„… exact range errors instead of its estimates into account and calculates nearoptimal factorization …” „… the configuration of the FBP algorithm. Until today it was not clear which factorization parameters …” „… this thesis, we analyzed the factorization parameters of the FBP algorithm regarding computational …”

Introduction S. 1-12

„… range profiles is given by the aperture factorization parameters. This data combination process reduces …” „… . How often the image is divided into subimages is described by the image factorization parameter. The …” „… of the aperture factorization, the image factorization and the number of stages has to be …”

Titelei/Inhaltsverzeichnis S. I-X

„… factorization parameters of the fast factorized backprojection algorithm and describes how to choose them …” „… any loss of quality, the factorization parameters must be set near-optimally. In this thesis, a rule …” „… for the choice of the factorization parameters is presented, which in the first step computes the …”

doi.org/10.51202/9783186867100

Thomas Guthier - Visual Motion Processing

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Thomas Guthier

Visual Motion Processing

Series: Mess-, Steuerungs- und Regelungstechnik

Volume 1251 2016

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Bibliography S. 143-158

„… . [17] Choi, S. (2008). Algorithms for orthogonal nonnegative matrix factorization. In Neural Networks …” „… and tensor factorizations: applications to exploratory multi-way data analysis and blind source …” „… nonnegative matrix factorization. Information Theory, IEEE Transactions on, 57(6):3963–3970. [21] Dalal, N …”

Titelei/Inhaltsverzeichnis S. I-XII

„… and Notations . . . . . . 35 3.3 Sparse Non-negative Matrix Factorization . . . . . . . . . . 36 3.3.1 …” „… Factorization OF Optical Flow OFE Optical Flow Estimation PCA Principal Component Analysis SC Sparse Coding sNMF …” „… Sparse Non-negative Matrix Factorization sNN-LDS Sparse Non-negative Linear Dynamic Systems STSp …”

Unsupervised Pattern Learning S. 26-57

„… non-negative matrix factorization (NMF) introduced three years later by Lee and Seung [66], as well as on its …” „… combination, sparse non-negative matrix factorization (sNMF) [27, 51, 52] and the transformation invariant …” „… algorithm is the vector nonnegative matrix factorization (VNMF). The structure is further illustrated in fig …”

Introduction S. 1-11

„… unsupervised learning was first proposed as Positive Matrix Factorization in 1994 by Paatero and Tapper [78 …” „… ] and became famous in 1999 when introduced as Non-negative Matrix Factorization (NMF) by Lee and Seung …”

doi.org/10.51202/9783186251084

Stella Graßhof - Expressive Personalized 3D Face Models from 3D Face Scans

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Stella Graßhof

Expressive Personalized 3D Face Models from 3D Face Scans

Series: Informatik/ Kommunikation

Volume 868 2020

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Fundamentals S. 15-39

„… , while making use of the orthogonal properties of R. Using this factorization, it is not guaranteed that …” „… Factorization In general the term factorization means rewriting a matrix (or another mathematical object) as a …” „… factorization methods will be presented in the remainder of this Section. 2.3.1 Principal Component Analysis The …”

Titelei/Inhaltsverzeichnis S. I-XIV

„… – correspondence estimation – expression intensity – tensor – factorization – statistical models – expression …” „… . . . . . . . . . . . . . . . . 16 2.2 Estimation of Camera Parameters . . . . . . . . . . . . . . . 17 2.3 Factorization …” „… structures, i.e. matrices. A 3D face model IX is created from the data tensor by factorization into different …”

Introduction S. 1-14

„… different faces. The resulting data is then used to generate a factorization-model. These works generally …” „… is based on a factorization of a set of 200 scans of human heads with a neutral facial expression …” „… factorization was used on face images ordered in a higher-dimensional data structure. The advantage of these …”

Literature S. 189-198

„… . isbn: 978-0-521-54051-3. [39] K. Kanatani, Y. Sugaya, and H. Ackermann. Uncalibrated Factorization …” „… Complexity Factorization for Projective Reconstruction. In: Proceedings of the 2nd International Conference …” „… Orthography: a Factorization Method. In: International Journal of Computer Vision (IJCV) 9.2 (Nov. 1992), pp …”

Summary and Conclusions S. 174-178

„… two reference models. As part of the contributions, the applied factorization approach revealed a …” „… models, based on factorization of varying data tensors built from carefully processed 3D face scans. Each …”

Experiments S. 146-173

„… the apathy-centered model is superior to the neutral centered model, we compare how both factorization …” „… shape, repeatedly to match the size of the original data tensor. Then the 4D factorization can be …” „… the factorization based on the center of the neutral facial expression, i.e. 1 n ‖T4,0,a − T4,0‖F < 1 …”

Face Models S. 114-145

„… ≤ E. 5.3.1 The Expression Space and the Apathy Mode The previously described factorization of a 3D …” „… Tensor Face Models 123 (a) (b) (c) (d) Figure 5.5: Expression space resulting from factorization of the …” „… factorization. Since we cannot expect that E = 6 lowdimensional affine subspaces intersect in a single point in …”

From 3D Face Scans to Aligned Faces S. 59-113

„… be ordered into a data tensor F ∈ RD×N×T ×S , which enables the estimation of a factorization model …”

doi.org/10.51202/9783186868107

Oliver Müller - Graphical Model MAP Inference with Continuous Label Space in Computer Vision

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Oliver Müller

Graphical Model MAP Inference with Continuous Label Space in Computer Vision

Series: Informatik/ Kommunikation

Volume 860 2018

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Fundamentals S. 25-55

„… Markov networks. Factor graphs provide a unified and finer-grained view on the factorization of …” „… factorization over the cliques of G: p(x) = 1 Z ∏ c∈C φc(xc) (3.9) with the normalizer or partition function Z …” „… function factorization (cf. Eq. (3.9)). Hence, the Hammersley-Clifford theorem guarantees (for strictly …”

Introduction S. 1-14

„… factorization of the joint distribution into a set of local functions p(x | d) = ∏c φc(xc | d). Figure 1.2 shows …”

doi.org/10.51202/9783186860101

Bastian Wandt - Human Pose Estimation from Monocular Images

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Bastian Wandt

Human Pose Estimation from Monocular Images

Series: Informatik/ Kommunikation

Volume 869 2020

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Related Work S. 17-21

„… Tomasi and Kanade [84] presented the first factorization based approach for a set of 2D points tracked …” „… over a sequence. The presented factorization allowed for the reconstruction of the underlying rigid 3D …”

Fundamentals S. 22-39

„… human poses are introduced. The basics of factorization based (non-rigid) structure from motion …” „… behind the factorization approaches in the seminal papers of Tomasi and Kanade [84] (SfM) and Bregler et …” „… factorization approach. The main idea is that a specific configuration of a non-rigid shape can be described by …”

Exploiting Temporal Properties S. 40-79

„… following chapter proposes two methods to integrate temporal constraints into a factorization approach that …” „… the first factorization approach to solve this problem for rigid objects which is well-known as the …” „… regularization and bone length constancy constraints. A trilinear factorization approach similar to [23, 62, 68 …”

Bibliography S. 101-116

„… Structure-from-motion Factorization.” In: Conference on Computer Vision and Pattern Recognition (CVPR). CVPR ’12 …” „… ] Carlo Tomasi and Takeo Kanade. “Shape and motion from image streams under orthography: a factorization …”

Titelei/Inhaltsverzeichnis S. I-XIV

„… . . . . . . . . . . . 41 4.1.1 Factorization model . . . . . . . . . . . . . . . . . 44 4.1.2 Camera Parameter Estimation …”

Introduction S. 1-16

„… use a factorization approach to learn 3D motion coefficients and join them with physical parameters …”

doi.org/10.51202/9783186869104

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