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SUBSPACE CLUSTERING WITH DENSE REPRESENTATIONS
"... Unions of subspaces have recently been shown to provide a powerful nonlinear signal model for collections of highdimensional data, such as large collections of images or videos. In this paper, we introduce a novel data-driven algorithm for learning unions of subspaces directly from a collection of d ..."
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Cited by 1 (0 self)
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provide significant advantages over current methods that rely upon sparse representations. Index Terms — Dense representations, subspace clustering, sparsity, pseudo-inverse, orthogonal matching pursuit.
Subspace Clustering Reloaded: Sparse vs. Dense Representations
"... Abstract—State-of-the-art methods for learning unions of subspaces from a collection of data leverage sparsity to form representations of each vector in the dataset with respect to the remaining vectors in the dataset. The resulting sparse representations can be used to form a subspace affinity matr ..."
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, even with state-of-the-art clustering methods. In this work, we propose a new algorithm that employs dense (least-squares) representations to extract the subspace affinity between vectors in the dataset. We demonstrate the advantages of the proposed dense subspace clustering algorithm over state
Mesh Optimization
, 1993
"... We present a method for solving the following problem: Given a set of data points scattered in three dimensions and an initial triangular mesh wH, produce a mesh w, of the same topological type as wH, that fits the data well and has a small number of vertices. Our approach is to minimize an energy f ..."
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Cited by 392 (8 self)
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function that explicitly models the competing desires of conciseness of representation and fidelity to the data. We show that mesh optimization can be effectively used in at least two applications: surface reconstruction from unorganized points, and mesh simplification (the reduction of the number
Fitting Smooth Surfaces to Dense Polygon Meshes
- Proceedings of SIGGRAPH 96
, 1996
"... Recent progress in acquiring shape from range data permits the acquisition of seamless million-polygon meshes from physical models. In this paper, we present an algorithm and system for converting dense irregular polygon meshes of arbitrary topology into tensor product B-spline surface patches with ..."
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Cited by 240 (5 self)
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Recent progress in acquiring shape from range data permits the acquisition of seamless million-polygon meshes from physical models. In this paper, we present an algorithm and system for converting dense irregular polygon meshes of arbitrary topology into tensor product B-spline surface patches
Creating efficient codebooks for visual recognition
- In Proceedings of the IEEE International Conference on Computer Vision
, 2005
"... Visual codebook based quantization of robust appearance descriptors extracted from local image patches is an effective means of capturing image statistics for texture analysis and scene classification. Codebooks are usually constructed by using a method such as k-means to cluster the descriptor vect ..."
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Cited by 276 (22 self)
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describe a scalable acceptance-radius based clusterer that generates better codebooks and study its performance on several image classification tasks. We also show that dense representations outperform equivalent keypoint based ones on these tasks and that SVM or Mutual Information based feature selection
SIFT Flow: Dense Correspondence across Different Scenes
"... While image registration has been studied in different areas of computer vision, aligning images depicting different scenes remains a challenging problem, closer to recognition than to image matching. Analogous to optical flow, where an image is aligned to its temporally adjacent frame, we propose ..."
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Cited by 136 (15 self)
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SIFT flow, a method to align an image to its neighbors in a large image collection consisting of a variety of scenes. For a query image, histogram intersection on a bag-of-visual-words representation is used to find the set of nearest neighbors in the database. The SIFT flow algorithm then consists
Pair-Dense Relation Algebras
- Transactions of the American Mathematical Society
, 1991
"... The central result of this paper is that every pair-dense relation algebra is completely representable. A relation algebra is said to be pair-dense if every nonzero element below the identity contains a "pair". A pair is the relation algebraic analogue of a relation of the form fha; ai ..."
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Cited by 83 (9 self)
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The central result of this paper is that every pair-dense relation algebra is completely representable. A relation algebra is said to be pair-dense if every nonzero element below the identity contains a "pair". A pair is the relation algebraic analogue of a relation of the form fha; ai
The state of the art in flow visualization: Dense and texture-based techniques
- Computer Graphics Forum
, 2004
"... Flow visualization has been a very attractive component of scientific visualization research for a long time. Usually very large multivariate datasets require processing. These datasets often consist of a large number of sample locations and several time steps. The steadily increasing performance of ..."
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Cited by 97 (29 self)
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of computers has recently become a driving factor for a reemergence in flow visualization research, especially in texture-based techniques. In this paper, dense, texture-based flow visualization techniques are discussed. This class of techniques attempts to provide a complete, dense representation of the flow
Spin-images: A representation for 3-d surface matching
, 1997
"... surface registration, object modeling, scene clutter. Dedicated to Dorothy D. Funnell, a believer in higher education. Surface matching is the process that compares surfaces and decides whether they are similar. In three-dimensional (3-D) computer vision, surface matching plays a prominent role. Sur ..."
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Cited by 168 (4 self)
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, including clutter, occlusion and sensor noise. This thesis describes a data level representation of surfaces used for surface matching. In our representation, surface shape is described by a dense collection of oriented points, 3-D
Polaris: A System for Query, Analysis and Visualization of Multi-dimensional Relational Databases
- IEEE Transactions on Visualization and Computer Graphics
, 2002
"... In the last several years, large multi-dimensional databases have become common in a variety of applications such as data warehousing and scientific computing. Analysis and exploration tasks place significant demands on the interfaces to these databases. Because of the size of the data sets, dense g ..."
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Cited by 213 (7 self)
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In the last several years, large multi-dimensional databases have become common in a variety of applications such as data warehousing and scientific computing. Analysis and exploration tasks place significant demands on the interfaces to these databases. Because of the size of the data sets, dense
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