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Mehlum, Even; Tarrou, Christian

doi:10.1023/a:1018931910836

Cited by 21 publications

(2 citation statements)

References 5 publications

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“…These are generally based on the different curvature invariants. The most common are Gaussian curvatures K g , mean curvatures H, and Mehlum curvatures K Mehlum [39]:…”

Section: Mechanical Testing By Micro-indentationmentioning

confidence: 99%

Surface Reflectance: An Optical Method for Multiscale Curvature Characterization of Wear on Ceramic–Metal Composites

et al. 2020

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Surface gradient characterization by light reflectance (SGCLR) is used for the first time for multiscale curvature calculations and discrimination of worn surfaces on six damaged ceramic–metal composites. Measurements are made using reflectance transformation imaging (RTI). Slope and curvature maps, generated from RTI, are analyzed instead of heights. From multiscale decompositions, bootstrapping, and analysis of variance (ANOVA), a strong correlation (R² = 0.90) is found between the density of furrows of Mehlum curvatures, with a band pass filter at 5.4 µm, present in ceramic grains and their mechanical properties. A strong correlation is found between the mean curvatures of the metal and the ceramics, with a high pass filter at 1286 µm.

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“…These are generally based on the different curvature invariants. The most common are Gaussian curvatures K g , mean curvatures H, and Mehlum curvatures K Mehlum [39]:…”

Section: Mechanical Testing By Micro-indentationmentioning

confidence: 99%

Surface Reflectance: An Optical Method for Multiscale Curvature Characterization of Wear on Ceramic–Metal Composites

et al. 2020

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“…Sometimes, the averaged square curvature value is minimized corresponding roughly to an intuitive requirement for 'Least Action'. More recently this condition has been refined further to minimize the changes in the average square curvature which is deemed important in applications in computer science mathematics [16,17], e.g. in aesthetics.…”

Section: Freeform-local Parameter Attributesmentioning

confidence: 99%

‘Action’ on structured freeform surfaces

Whitehouse¹

2018

Surf. Topogr.: Metrol. Prop.

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Surfaces are becoming more complex partly due to the more complicated function required of them and partly due to the introduction of different manufacturing processes. These have thrown into relief the need to consider new ways of measuring and characterizing such surfaces and more importantly to make such characterization more relevant by tying together the geometry and the function more closely.The surfaces which have freeform and structure have been chosen to be a carrier for this investigation because so far there has been little work carried out in this neglected but potentially important area. This necessitates the development of a strategy for their characterization. In this article, some ways have been found of identifying possible strategies for tackling this characterization problem but also linking this characterization to performance and manufacture, based in part on the principles of least action and on the way that nature has evolved to solve the marriage of flexible freeform geometry, structure and function. Recommendations are made for the most suitable surface parameter to use which satisfies the requirement for characterizing structured freeform surfaces as well as utilizing 'Action' to predict functionality.

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Reconstruction of intersecting surface models from scanned data for styling design

Tsuchie

2019

Engineering with Computers

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Untitled

Cited by 21 publications

References 5 publications

Surface Reflectance: An Optical Method for Multiscale Curvature Characterization of Wear on Ceramic–Metal Composites

Surface Reflectance: An Optical Method for Multiscale Curvature Characterization of Wear on Ceramic–Metal Composites

‘Action’ on structured freeform surfaces

Reconstruction of intersecting surface models from scanned data for styling design

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