Shape preserving digitization of binary images after blurring

Authors:
Peer Stelldinger;Ullrich Köthe
Affiliations:
Cognitive Systems Group, University of Hamburg, Hamburg, Germany;Cognitive Systems Group, University of Hamburg, Hamburg, Germany
Venue:
DGCI'05 Proceedings of the 12th international conference on Discrete Geometry for Computer Imagery
Year:
2005

Citing 4
Cited 1

Discrete representation of spatial objects in computer vision

Discrete representation of spatial objects in computer vision
Preserving Topology by a Digitization Process

Journal of Mathematical Imaging and Vision
Algorithms for Graphics and Imag

Algorithms for Graphics and Imag
Image Analysis and Mathematical Morphology

Image Analysis and Mathematical Morphology

Connectivity preserving digitization of blurred binary images in 2D and 3D

Computers and Graphics

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Abstract

Topology is a fundamental property of shapes in pictures. Since the input for any image analysis algorithm is a digital image, which does not need to have the same topological characteristics as the imaged real world, it is important to know, which shapes can be digitized without topological changes. Most existing approaches do not take into account the unavoidable blurring in real image acquisition systems or use extremely simplified and thus unrealistic models of digitization with blurring. In case of the mostly used square grids we show which binary images can be digitized topologically correctly after blurring with an arbitrary non-negative radially symmetric point spread function, which is an important step forward to real digitization.