Advances in Geometric Modeling and Processing
DOI: 10.1007/978-3-540-79246-8_5
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Comparing Small Visual Differences between Conforming Meshes

Abstract: This paper gives a method of quantifying (small) visual differences between 3D mesh models with conforming topology, based on the theory of strain fields. Our experiments show that our difference estimates are well correlated with human perception of differences. This work has applications in the evaluation of 3D mesh watermarking, 3D mesh compression reconstruction, and 3D mesh filtering.

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Cited by 4 publications
(6 citation statements)
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“…In the ambit of quality evaluation of 3D watermarking algorithms, Lavoué et al [28] proposed a perceptuallyinspired metric called Mesh Structural Distortion Measure (MSDM). Most recently, Bian et al [29], [30] developed another geometry-based perceptual metric based on the strain energy, i.e. a measure of the energy which causes the deformation between the original and the processed mesh.…”
Section: Model-based Perceptual Metricsmentioning
confidence: 99%
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“…In the ambit of quality evaluation of 3D watermarking algorithms, Lavoué et al [28] proposed a perceptuallyinspired metric called Mesh Structural Distortion Measure (MSDM). Most recently, Bian et al [29], [30] developed another geometry-based perceptual metric based on the strain energy, i.e. a measure of the energy which causes the deformation between the original and the processed mesh.…”
Section: Model-based Perceptual Metricsmentioning
confidence: 99%
“…We have also included two combinations of the Root Mean Square error with the Geometric Laplacian respectively introduced by Karni and Gotsman [24] and Sorkine et al [31]. Finally, we have considered four of the recent model-based perceptual metrics just mentioned: the Mesh Structural Distortion Measure of Lavoué et al [28], the two roughness-based metrics developed by Corsini and Drelie Gelasca et al [27] and the Strain Field-based metric from Bian et al [29], [30]. We do not consider perceptual image-based metrics in our experiments since they are not reliable to predict the perceived visual impairment on 3D models for the reasons just explained at the begin of Section 2.2.…”
Section: Details About the Tested Metricsmentioning
confidence: 99%
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“…We are only showing the results of MSDM and MSDM2 compared with our proposed metric. All other metrics we have evaluated, that is Visual error [KG00], two versions of roughness difference [CGEB07], strain field measure [BHM08], spatial part of STED measure [VS11], PSNR, MSE and versions of Hausdorff distance computed by the Metro tool [CRS98] performed much worse than these three. Our proposed measure has achieved an average Pearson coefficient of 90.7, which clearly outperforms the second best result of MSDM2 with average Pearson coefficient of 83.4.…”
Section: Resultsmentioning
confidence: 99%
“…A comparison method based on strain field has been proposed by Bian et al [BHM08]. The idea is to integrate the strain energy of an imaginary force that has deformed the object.…”
Section: Related Workmentioning
confidence: 99%