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Computational Topology in Image Context

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Cover of 'Computational Topology in Image Context'

Table of Contents

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    Book Overview
  2. Altmetric Badge
    Chapter 1 Progress in Persistence for Shape Analysis (Extended Abstract)
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    Chapter 2 Homology Computation During an Incremental Construction Process
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    Chapter 3 Persistence-Based Pooling for Shape Pose Recognition
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    Chapter 4 Bijectivity Certification of 3D Digitized Rotations
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    Chapter 5 Morse Chain Complex from Forman Gradient in 3D with $$\mathbb {Z}_2$$ Z 2 Coefficients
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    Chapter 6 Parallel Homology Computation of Meshes
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    Chapter 7 Computing the Overlaps of Two Maps
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    Chapter 8 Topological Descriptors for 3D Surface Analysis
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    Chapter 9 Towards a Topological Fingerprint of Music
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    Chapter 10 Topological Comparisons of Fluvial Reservoir Rock Volumes Using Betti Numbers: Application to CO $$_{2}$$ 2 Storage Uncertainty Analysis
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    Chapter 11 Topological Analysis of Amplicon Structure in Comparative Genomic Hybridization (CGH) Data: An Application to ERBB2/HER2/NEU Amplified Tumors
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    Chapter 12 Fast, Simple and Separable Computation of Betti Numbers on Three-Dimensional Cubical Complexes
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    Chapter 13 Computation of Cubical Steenrod Squares
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    Chapter 14 On Homotopy Continuation for Speech Restoration
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    Chapter 15 Finding Largest Rectangle Inside a Digital Object
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    Chapter 16 Shape Matching of 3D Topologically Segmented Objects
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    Chapter 17 Construction of an Approximate 3D Orthogonal Convex Skull
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    Chapter 18 Designing a Topological Algorithm for 3D Activity Recognition
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    Chapter 19 Robust Computations of Reeb Graphs in 2-D Binary Images
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    Chapter 20 The Coherent Matching Distance in 2D Persistent Homology
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    Chapter 21 Computational Topology in Image Context
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    Chapter 22 Persistence Based on LBP Scale Space
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    Chapter 23 On Some Local Topological Properties of Naive Discrete Sphere
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    Chapter 24 DIG: Discrete Iso-contour Geodesics for Topological Analysis of Voxelized Objects
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    Chapter 25 Solving Distance Geometry Problem with Inexact Distances in Integer Plane
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    Chapter 26 Segmentation and Classification of Geoenvironmental Zones of Interest in Aerial Images Using the Bounded Irregular Pyramid
Attention for Chapter 14: On Homotopy Continuation for Speech Restoration
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Chapter title
On Homotopy Continuation for Speech Restoration
Chapter number 14
Book title
Computational Topology in Image Context
Published in
Computational topology in image context : 6th International Workshop, CTIC 2016, Marseille, France, June 15-17, 2016, Proceedings. CTIC (Conference) (6th : 2016 : Marseille, France), June 2016
DOI 10.1007/978-3-319-39441-1_14
Pubmed ID
Book ISBNs
978-3-31-939440-4, 978-3-31-939441-1
Authors

Darian M. Onchis, Pedro Real

Abstract

In this paper, a homotopy-based method is employed for the recovery of speech recordings from missing or corrupted samples taken in a noisy environment. The model for the acquisition device is a compressed sensing scenario using Gabor frames. To recover an approximation of the speech file, we used the basis pursuit denoising method with the homotopy continuation algorithm. We tested the proposed method with various speech recordings.

Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 3 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 3 100%

Demographic breakdown

Readers by professional status Count As %
Professor 1 33%
Professor > Associate Professor 1 33%
Unknown 1 33%
Readers by discipline Count As %
Computer Science 2 67%
Unknown 1 33%