Euclidean Fitting Revisited

Faber, Petko; Fisher, Robert B.

doi:10.1007/3-540-45129-3_14

Cited by 15 publications

(7 citation statements)

References 9 publications

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“…These results were produced using Euclidean [30] or least squares [29] fitting for initial geometric completion. The original sample surface was oversampled once, triangulation utilised the Cocone algorithm [31,32] and Mersenne twister [35] provided the random source.…”

Section: Surface Relief Resultsmentioning

confidence: 99%

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Plausible 3D Colour Surface Completion Using Non-parametric Techniques

Breckon

Fisher

2005

Mathematics of Surfaces XI

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Abstract. We consider the combined completion of 3D surface relief and colour for the hidden and missing portions of objects captured with 2 1 2 D (or 3D) capture techniques. Through an extension of nonparametric texture synthesis to facilitate the completion of localised 3D surface structure (relief) over an underlying geometric surface completion we achieve realistic, plausible completion 1 and extension of 2 1 2 D partially visible surfaces. Additionally we show how this technique can be extended to the completion of increasingly available colour 2

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Section: Surface Relief Resultsmentioning

confidence: 99%

“…The pre-processing stage estimates the underlying geometric surface model for the original scene portion [29,30] from which a set of displacement vectors, − → D(i), and a corrected surface normal, n i , for each point i can be derived (see Fig. 5).…”

Section: D Non-parametric Completionmentioning

confidence: 99%

Plausible 3D Colour Surface Completion Using Non-parametric Techniques

Breckon

Fisher

2005

Mathematics of Surfaces XI

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“…We extract the geometric texture (localised surface relief) from the original surface mesh using localised surface fitting [4] to recover an orthogonal 3D displacement map for the sample surface.…”

Section: Texture Extractionmentioning

confidence: 99%

Direct geometric texture synthesis and transfer on 3D meshes

Breckon¹,

Fisher²

2006

3rd European Conference on Visual Media Production (CVMP 2006). Part of the 2nd Multimedia Conference 2006

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“…(Closed forms exist for planes, elliptical cylinders and cones, which are a very practical subset of the quadric surfaces.) Recently we have reinvestigated this question because of the recent dramatic increase in computational power [17,16]. As well as exposing the great difference in fit quality, we have investigated the computational costs.…”

Section: Euclidean Distance Is Better and Fastmentioning

confidence: 99%

Applying knowledge to reverse engineering problems

Fisher

Geometric Modeling and Processing. Theory and Applications. GMP 2002. Proceedings

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:This paper summarizes a series of recent research results made at Edinburgh University based on projects that apply domain knowledge of standard shapes and relationships to solve or improve reverse engineering problems. The problems considered are how to enforce known relationships when data fitting, how to extract features even in very noisy data, how to get better shape parameter estimates and how to infer data about unseen features.Keywords : range data, reverse engineering, constraints Copyright c 2004 by The University of Edinburgh. All Rights ReservedThe authors and the University of Edinburgh retain the right to reproduce and publish this paper for non-commercial purposes.Permission is granted for this report to be reproduced by others for non-commercial purposes as long as this copyright notice is reprinted in full in any reproduction. Applications to make other use of the material should be addressed in the first instance to Copyright Permissions, School of Informatics, The University of Edinburgh, 2 Buccleuch Place, Edinburgh EH8 9LW, Scotland. DRAFT: Applying knowledge to reverse engineering problemsRobert B. Fisher School of Informatics, University of Edinburgh rbf@inf.ed.ac.uk AbstractThis paper summarizes a series of recent research results made at Edinburgh University based on projects that apply domain knowledge of standard shapes and relationships to solve or improve reverse engineering problems. The problems considered are how to enforce known relationships when data fitting, how to extract features even in very noisy data, how to get better shape parameter estimates and how to infer data about unseen features.

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Euclidean Fitting Revisited

Cited by 15 publications

References 9 publications

Plausible 3D Colour Surface Completion Using Non-parametric Techniques

Plausible 3D Colour Surface Completion Using Non-parametric Techniques

Direct geometric texture synthesis and transfer on 3D meshes

Applying knowledge to reverse engineering problems

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