Geometric and photometric restoration of distorted documents

Sun, Mingxuan; Yang, Ruigang; Lin, Yun; Landon, George V.; Seales, Brent; Brown, Michael S.

doi:10.1109/iccv.2005.106

Cited by 13 publications

(3 citation statements)

References 15 publications

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“…Development of a given mesh is e.g. applied in textile engineering or image processing [31,32,33,34,35]. The key idea of all these methods is to build a physical model of the surface as a 3D mesh of vertices (nodes) connected by springs.…”

Section: Flattening Of the Warped Center Surfacementioning

confidence: 99%

“…Although most of the flattening procedures for discretized 3D surfaces are based on triangular meshes [31,32,34,35], only few [32] are restricted to that condition. For two reasons we have chosen a quadrangular [33] mesh.…”

Section: A Mechanical Model For Flattening Of a Discrete 3d Surfacementioning

confidence: 99%

“…For relaxation of the mesh in the xy-plane different approaches are used. Some [31,32,35] perform direct minimization of the cumulative spring energy where L i denotes original spring length in the 3D mesh and l i is current spring length of spring i. Others assign a mass m to each node and model the dynamic behavior of a dampened mass-spring system [33,34].…”

Section: Relaxing the Spring Connected Meshmentioning

confidence: 99%

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Introducing a Concept to Link 3D Paper Structure to 2D Paper Properties

Hirn,

Kritzinger,

Donoser

et al. 2009

Trans. Of the XIVth Fund. Res. Symp. Oxford, 2009

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This paper introduces a concept that spatially links local paper properties from a 3D paper dataset to a 2D paper property map of the same sample. The concept exploits the fact that paper is a planar structure. This permits successive conversion of 3D paper datasets first to a 3D surface (the paper center surface) and further to a plane. The flattened 3D paper data can then be linked to the 2D paper property map. Laser micro holes applied to the paper are employed as marks for alignment of the 2D maps. The key step of the procedure is flattening the paper data from a warped 3D surface to a 2D plane. Some exemplary applications for the introduced method are given. The effect of local coating layer thickness on local brightness and local print density is examined for wood free coated paper. Furthermore, the concept can be applied for quantitative comparison of data from different 3D-imaging techniques. We measured local coating layer thickness on the same paper specimen applying first fan-beam X-ray microtomography and then microtome serial sectioning. The results are compared using point-wise correlation.

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Section: Flattening Of the Warped Center Surfacementioning

confidence: 99%

Section: A Mechanical Model For Flattening Of a Discrete 3d Surfacementioning

confidence: 99%

Section: Relaxing the Spring Connected Meshmentioning

confidence: 99%

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Introducing a Concept to Link 3D Paper Structure to 2D Paper Properties

Hirn,

Kritzinger,

Donoser

et al. 2009

Trans. Of the XIVth Fund. Res. Symp. Oxford, 2009

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3D cyclorama for digital unrolling and visualisation of deformed tubes

Rossides

Pender

Schneider

2021

Sci Rep

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Colonic crypts are tubular glands that multiply through a symmetric branching process called crypt fission. During the early stages of colorectal cancer, the normal fission process is disturbed, leading to asymmetrical branching or budding. The challenging shapes of the budding crypts make it difficult to prepare paraffin sections for conventional histology, resulting in colonic cross sections with crypts that are only partially visible. To study crypt budding in situ and in three dimensions (3D), we employ X-ray micro-computed tomography to image intact colons, and a new method we developed (3D cyclorama) to digitally unroll them. Here, we present, verify and validate our ‘3D cyclorama’ method that digitally unrolls deformed tubes of non-uniform thickness. It employs principles from electrostatics to reform the tube into a series of onion-like surfaces, which are mapped onto planar panoramic views. This enables the study of features extending over several layers of the tube’s depth, demonstrated here by two case studies: (i) microvilli in the human placenta and (ii) 3D-printed adhesive films for drug delivery. Our 3D cyclorama method can provide novel insights into a wide spectrum of applications where digital unrolling or flattening is necessary, including long bones, teeth roots and ancient scrolls.

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