Digitizing embossed 3D surfaces of collection items using - - PowerPoint PPT Presentation

Digitizing embossed 3D surfaces of collection items using photometric stereo device

Jaroslav Valach, David Vrba, Tomáš Fíla, Jan Bryscejn, Daniel Vavřík Institute of Theoretical and Applied Mechanics, v.v.i., AS CR, Prague, Czech Republic

Surface topography determination - an important class of measurement tasks

• Goal - 3D topography of (usually) ‘flat’

specimen

• Other suitable methods (e.g. fotogrammetry,

grid projection methods, laser scanning...)

• Shape from shading (Horn 1978)
• Fundamental principle of the method states

that it is possible to deduce surface topography from photometric measurement.

Photometric stereo

• Natural shadowing of object helps

human eye to “read” volumetric data.

• Volumetric data from one image,

negligible parallax.

• The presented optical method utilizes

the same principle for data collection to built ‘virtual copies’ of 3D surfaces

• f studied bodies.

Photometry Stereo

• Fundamental principle of the method is based on direct relation between

inclination of surface normal of given point from direction of incident light and the relative brightness of the point captured on image

• Principle of the method: intensity of reflected light is determined by the

angle between surface normal and direction of incident light: I=k.r.(n,s).I0, p=dz/dx, q=dz/dy, n=(-p, -q, 1) (Linear dependence between surface

• rientation and intensity of reflected light)
• The sensitivity of the method is independent on the distance to the

measured object. (vs. photogrammetry, astronomy - craters on the planet surface)

• Therefore it is possible to deduce surface topography from photometric

measurement „integration“ of slopes into heights.

• Assumptions
• Collimated light
• “Lambertian” surface
• Non reflective surface
• No self-shadows on the surface

Surface Normals

• Image of surface normals -

“needle map”

• Surface normals yields important

information on surface quality, their distribution is directly related to surface roughness.

• The surface slopes derived from

normals can be integrated. The result is surface topography.

• Necessity to recalibrate the

height profiles.

CPS implementation

• Three variables describe the surface: slopes in two orthogonal

directions and reflectivity (albedo)

• Surface illumination from three directions forms set of three

equation for three unknown variables

• Encoding three images (scenes) into one. Three different

monochromatic colors of illumination and three colors in Bayer filter of digital camera

• Height resolution is related to grey bit resolution of image....

Development of portable models

• f device

CPS on loading and measuring device

Photometry stereo – current stage of development

• Automatic, computer

controlleddevice

• Several degrees of freedom:
• Illumination rotation (C)
• Vertical movement of camera (E)
• Planar movement of specimen’s

stage (D)

• Goals:
• acquire large number of images
• “stitch” data for larger specimens

Examples of results – small

• bjects and surface reliefs

Factured surface of natural stone Coin

Experimental application of CPS

Principal strain 2 field

Strain field in front of growing crack

Surface with markers Deformations in in-plane (A, B) and out-of-plane (C) directions

A B C

An example of stone degradation measurements

Left - Pair of photometric images of sandstone’s surface prior and after artificial weathering. Middle and right part - Surface gradients before and after weather cycling. Higher roughness was observed for a weathered surface.

Cuneiform tablet by CPS

Fossils - Trilobite

Other uses of photometry stereo

• Applicable on flat samples with relief

surface

• Surface inspection - corrosion, wear
• Microtopography reconstruction in SEM
• Cuneiform tablets
• Embossed objects, coins, seals, carvings…
• Monitoring of cultural heritage buildings surface

(soiling, encrustation)

Thank you for your attention.

Contact: valach@itam.cas.cz

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