the propagation of light in the translucent tissue is depicted in fig1 ; to be precise , firstly , in a sectional image 11 on the interface between air 1 and tooth material 2 and , secondly , in a top view 12 . a light beam 3 with a wavelength λ0 is cast onto the teeth by an illumination unit . a majority of the light of this beam penetrates deep into the tooth and is scattered once or repeatedly on scattering centers 5 below the tooth surface until it reemerges as scattered light 4 and enters the entry pupil of the observation system . the literature , e . g . “ optische eigenschaften des zahnbeins [ optical properties of dentin ]”. j . j . ten bosch and j . r . zijp in “ zahnbein and zahnbeinreaktionen in der mundhöhle [ dentin and dentin reactions in the oral cavity ]”, a . thylstrup , s . a . leach and v . qvist , eds . ( irl press ltd , oxford , england , 1987 ), pages 59 - 65 , discloses values for the scattering coefficient ; it is specified with values between 3 mm − 1 to 8 − 1 mm . hence , these scattering centers 5 are only present with low density , and so the range r0 of multiply scattered light beams 6 in the interior or in the volume of the tooth is relatively large . from the specified scattering coefficients , it is possible to derive approximately the order of 1 mm for r0 . accordingly , the point response ( point - spread function , psf ) of a point projected onto the tooth is an extended point spread 7 with moreover reduced contrast . the signal is generated in a large signal - generation volume 13 ; instead of a reflection at one point , as postulated by the “ triangulation ” measurement principle , the whole volume is involved with the backscattering ; the calculation back to the location of the scattering is correspondingly unsharp , i . e . the measurement is imprecise . according to the invention , the “ deep fluorescence ” in the interior of the tooth or the fluorescence of the volume of the tooth is utilized to improve the mechanism of the signal generation . the signal - generation volume 13 is excited to fluoresce in the depth ; as will be shown below , this reduces the point - spread function . the tissue of natural teeth exhibits fluorescence in the following spectral ranges : these properties apply both to dentin ( latin : dentin ) and enamel ( latin : enamelium ). this data can be gathered from the document cited above . according to the invention , the wavelength λ1 of the light , which penetrates into the tissue of the tooth , is selected in such a way that the tooth is excited to fluoresce at this wavelength λ1 . the energy of the corresponding photon p1 is : e1 = h * c / λ1 ( c : speed of light , h : planck constant ). thus , according to the invention , the photon should find molecular surroundings in the tooth volume having an energy level structure suitable for letting a fluorescence process occur . according to the invention , it was recognized that this is advantageous since the photon is absorbed in this process and hence the tooth tissue has increased absorption at this wavelength . according to the invention , this is utilized to avoid or reduce the translucence of the teeth . in the translucence mechanism , light , as already mentioned above , penetrates the tooth , passes over a path of length r0 therein , leaves the tooth again and enters the entry pupil of the observation system . this is explained in fig2 : the presence of fluorescence - capable molecules in the volume 8 leads to the presence of absorption which reduces the range of the light in the tooth since it is absorbed along its path . long light paths become rarer ; short light paths are less affected by the absorption . thus , the light of wavelength λ1 will on average only pass over a path length r1 which is less than r0 ; the point spread 7 a becomes smaller than the point spread 7 at the wavelength λ0 , without the presence of fluorescence in the volume . with the point spread 7 a at the wavelength λ1 there is simultaneously a second point spread 10 at the fluorescence wavelength λ2 . the point spread 10 for the light beams of the wavelength λ2 9 is less than the point spread 7 a at the wavelength λ1 . the reason for this is that the photons emitted in the fluorescence process in the volume had already experienced a random change in direction and are potentially able to reach the pupil of the observation directly , i . e . without further scattering . photons of the wavelength λ1 , which were not absorbed , require a further scattering process , increasing the point spread . thus , there is an improvement in the point spread at both wavelengths , but it is more pronounced at the wavelength λ2 . according to the invention , the observation takes place at the wavelength λ2 . the deep fluorescence in the interior of the tooth , i . e . the fluorescence of the volume or of the volume through which light passes , thus leads to the signal generation volume 13 a for light of the wavelength λ2 being less than , in the case without fluorescence , the signal generation volume 13 for light of the wavelength λ0 ; it is accordingly possible to more precisely calculate back to the location of scattering , i . e . the measurement is more precise than the measurement without the involvement of fluorescence in the tissue . in all images , full lines are used for light beams of the wavelength λ1 and dashed lines are used for light beams of the wavelength λ2 . compared to the prior art , the invention has the advantage of reducing the point spread without preparing the tooth . in some embodiments , several fluorescence wavelengths present in the volume are combined . thus , the filter characteristic of an optical filter in the beam path of the illumination and observation apparatus must in each case only be expanded by the transmission in one further spectral range in order to be able to utilize simultaneously two fluorescence effects present in the volume . as a result , the light yields of both fluorescence effects are combined , without further components having to be added to the system . in one embodiment , use is made , in particular , of the maxima at 380 and 410 nm , or the combination of both , since these are of particular interest for technical use in an intraoral 3d measurement as a result of it being possible to use conventional optical materials . it is not necessary to generate the illumination wavelength λ1 with monochromatic light . the phenomenon of fluorescence in principle occurs in a characteristic spectral range , the characteristic wavelength of which merely represents an optimum . for reasons of light yield , a spectral range about the maximum is always used in the technical realization . for practical applications , a spectral range of approximately +/− 10 nm is necessary in order to ensure sufficient luminous intensity . for the maximum at 380 nm , the illumination can therefore occur in the spectral range 370 - 390 nm . for the maximum at 410 nm , the illumination can occur around the spectral range of 400 nm to 420 nm . in one embodiment of the device of fig3 of the invention , this is utilized to realize a measurement method known in dentistry , in which a small psf is of particular importance : the known active stereo method and multi - baseline - stereo method requires a fine marking pattern , which needs to have a higher resolution than the subsequent 3d structure resolution of the 3d measurement system . in practical cases , an approximately 3 - fold higher resolution is required . with the technology of utilizing the “ deep fluorescence or the fluorescence of the volume ( through which light passes )”, it is possible to obtain such a pattern with high - resolution when it interacts with the tooth tissue 2 . compared thereto , the scanner described in the german patent application de 102007060263 has a lower resolution ( provided work is not undertaken with preparations ) because the described technique is not utilized . in the device according to the invention , it is possible for the illumination to be able to take place with an led 19 having a condenser 20 , which emits in the range 370 nm - 420 nm . this results in an illumination unit , in which a filter at the projector 14 can be dispensed with on the illumination side 14 . the projector projects a mask 15 with a marking pattern onto the tooth . if the mean spectral range 390 - 400 nm does not have fluorescence in the tissue either , or if it only has little fluorescence , it is harmless because it is filtered out on the observation side . the observation unit comprises at least two video cameras 16 with lenses 18 , but in each case with an optical filter 17 , which excludes wavelengths below 420 nm from the observation . “ optische eigenschaften zahnbein [ optical properties of dentin ]”. j . j . ten bosch and j . r . zijp in “ zahnbein and zahnbeinreaktionen in der mundhöhle [ dentin and dentin reactions in the oral cavity ]”, a . thylstrup , s . a . leach and v . qvist , eds . ( irl press ltd , oxford , england , 1987 ), pages 59 - 65 denotes the chemical reason for fluorescence of the tissue as unknown . possibly , this is not an effect of natural teeth , but rather an effect of constituents of toothpaste that penetrated into the tissue and have remained there long - term . thus , the term “ fluorescence in the tissue of teeth or deep in the tooth or in the volume of the tooth ” should be understood to mean the fluorescence in the tissue of real human teeth at the current time , including environmental effects . the signal evaluation of the signals recorded by the observation unit can take place in a manner known per se . 4 a 4 b 4 c : scattered light beams which reach the entry pupil of the observation 7 a : point spread of ( 3 ), when fluorescence is lacking , at the excitation wavelength 9 : light beams emitted by fluorescence , which reach the entry pupil of the observation 10 : point spread of 3 at the fluorescence wavelength
a 3d measurement of teeth occurs while exciting fluorescence in the volume of the teeth . to this end , use is made of suitable radiation which , as a result of the fluorescence , is therefore strongly absorbed . as a result of this , the problem of translucence when measuring teeth is significantly reduced .