Image display device, image display method, and image display program

Abstract

To allow a user to recognize a change rate of a different magnitude in a map showing a relation between an external factor and the change rate in each wave number with three orthogonal axes as the wave number, the external factor and the change rate.SOLUTION: Provided is a data compression device including: a change rate calculation unit which calculates a change rate with respect to an external factor at each wave number; a compression processing unit which performs compression processing on the change rate calculated by the change rate calculation unit, the compression processing being processing of compressing the absolute value of the change rate according to the absolute value of the change rate; and a display unit which displays the compression processed change rate in a map having three orthogonal axes as the wave number, the external factor, and the change rate.SELECTED DRAWING: Figure 2

Description

[Technical Field]

[0001] The present invention relates to an image display device, an image display method, and an image display program. [Background technology]

[0002] Conventionally, there are image display devices that display the rate of change of a sample flowing through a predetermined process.

[0003] This type of image display device may acquire the rate of change of a sample from an analyzer that analyzes the rate of change of the sample based on, for example, Raman scattered light obtained from the sample. An example of this analyzer is one that irradiates a laser beam onto the sample and detects the intensity of Raman scattered light generated in the sample, as shown in Patent Document 1. The image display device generates Raman imaging data of the sample based on, for example, the intensity of Raman scattered light from the analyzer, and displays the Raman imaging data. [Prior art documents] [Patent documents]

[0004] [Patent Document 1] Japanese Patent Application Publication No. 2019-086445 Summary of the Invention [Problem to be solved by the invention]

[0005] The image display device may display a map showing the relationship between the rate of change of a sample and an external factor, which is one of the factors that indicates the measurement status of the sample, at each wavenumber. This map has three orthogonal axes representing the wavenumber, the external factor, and the rate of change of the sample.

[0006] In this map, when multiple change rates are displayed and the change rates are significantly different, for example, if colors are assigned to the range from the maximum change rate to the minimum change rate, it may be difficult to distinguish between cases where the change rate is small and cases where there is no change rate on the map, and as a result, the user will not be able to recognize on the map whether a small change rate is occurring.

[0007] The present invention has been made in consideration of the above-mentioned problems, and its main objective is to enable a user to recognize rates of change of different magnitudes in a map showing the relationship between external factors and rate of change at each wave number, with wave number, external cause, and rate of change as three orthogonal axes. [Means for solving the problem]

[0008] That is, the image display device of the present invention is an image display device that displays, at each wave number, the rate of change of the object to be measured with respect to an external factor, which is one factor that indicates the measurement status of the object to be measured, and is characterized by comprising: a rate of change calculation unit that calculates the rate of change with respect to the external factor at each wave number; a compression processing unit that performs a compression process on the rate of change calculated by the rate of change calculation unit, i.e., a process of compressing the absolute value of the rate of change in accordance with the absolute value of the rate of change; and a display unit that displays the compressed rate of change on a map with the wave number, the external factor, and the rate of change as three orthogonal axes.

[0009] With this configuration, the compression processor performs compression processing to compress the absolute values ​​of the change rates according to the absolute values ​​of the change rates, thereby reducing the differences between the change rates in the map after compression processing. Therefore, in a map showing the relationship between the external factors and the change rates at each wave number, with three orthogonal axes representing wave number, external factors, and change rates, it becomes possible to recognize small change rates that were previously unrecognizable to the user due to their extremely different magnitudes before compression processing. As a result, the user can simultaneously grasp multiple change rates that were extremely different in magnitude before compression processing.

[0010] Specifically, examples of the change rate include those indicating the relationship between the external factor and the spectral intensity of the measurement object at each frequency.

[0011] Preferably, the compression processing unit compresses the absolute value of the change rate by substituting the absolute value of the change rate as the input variable into a function in which the derivative of the output variable decreases as the input variable increases.

[0012] With such a configuration, as the input variable increases, the absolute value of the change rate is substituted into a function in which the derivative of the output variable decreases, so that the larger the absolute value of the change rate output as the output variable, the more it is compressed. Therefore, by performing the compression processing, the difference between a plurality of change rates can be reduced.

[0013] Preferably, the compression processing unit compresses the absolute value of the change rate by substituting the absolute value of the change rate into a logarithmic function.

[0014] With such a configuration, since the logarithmic function is a function in which the derivative of the output variable decreases with an increase in the input variable, the compression processing unit substitutes the absolute value of the change rate into the logarithmic function, whereby the absolute value of the change rate output as the output variable can be compressed according to its magnitude.

[0015] Examples of the compression processing unit include those that compress the absolute value of the change rate based on the following function. (Function) When x ≤ -1: y = -log e (-x) - 1 When -1 < x < 1: y = x When 1 ≤ x: y = log e (x) + 1 Here, x is the change rate calculated by the change rate calculation unit, and y is the change rate after the compression processing.

[0016] With this configuration, by using the above function, it is possible to compress the absolute value of the rate of change according to the absolute value of the rate of change, and to make the rate of change after compression continuous without causing a positive / negative reversal. Therefore, even after compression, the magnitude relationship of the rate of change relative to external factors is maintained, and the user can recognize small rates of change.

[0017] The image display device may further include a smoothing processing unit that smoothes adjacent change rates in the wave number direction among the plurality of change rates that have been compressed, and the display unit may display the change rates after processing by the smoothing processing unit on the map.

[0018] With this configuration, the smoothing processing unit smoothes adjacent change rates in the wave number direction among the multiple compressed change rates, so that the user can clearly recognize wave number regions where a change has occurred and wave number regions where no change has occurred.

[0019] As a specific embodiment of the smoothing processing unit, it is desirable to perform binning processing on the rate of change at each wave number.

[0020] With this configuration, when the user looks at the map displayed on the display unit, the user can easily grasp the magnitude of the rate of change in response to the external cause.

[0021] An image display method for displaying, at each wave number, the rate of change of a measurement object with respect to an external factor, which is one factor indicating the measurement status of the measurement object, is characterized in that the method calculates, at each wave number, the rate of change with respect to the external factor, performs a compression process on the rate of change calculated by the rate of change calculation unit, which is a process of compressing the absolute value of the rate of change in accordance with the absolute value of the rate of change, and displays the compressed rate of change on a map whose three orthogonal axes are the wave number, the external factor, and the rate of change. Furthermore, an image display program used in an image display device that displays, at each wave number, the rate of change of the object to be measured with respect to an external factor, which is one factor that indicates the measurement status of the object to be measured, is characterized in that it causes a computer to function as a rate of change calculation unit that calculates, at each wave number, the rate of change with respect to the external factor, a compression processing unit that performs a compression process on the rate of change calculated by the rate of change calculation unit, which is a process of compressing the absolute value of the rate of change in accordance with the absolute value of the rate of change, and a display unit that displays the compressed rate of change on a map with three orthogonal axes representing the wave number, the external factor, and the rate of change.

[0022] With this configuration, it is possible to obtain the same effects as the image display device described above. [Effects of the Invention]

[0023] According to the present invention, three orthogonal axes are wave number, external cause, and rate of change, and a map showing the relationship between the external cause and rate of change at each wave number allows the user to recognize rates of change of different magnitudes. [Brief explanation of the drawings]

[0024] [Figure 1] FIG. 1 is a schematic diagram showing an analysis system according to a first embodiment of the present invention. [Figure 2] FIG. 10A is a schematic diagram showing the intensity of an external cause at each wave number in the first embodiment, FIG. 10B is a diagram showing the relationship between the wave number and the rate of change before compression processing for a certain external cause, and FIG. 10C is a diagram showing the relationship between the wave number and the rate of change after compression processing for a certain external cause. [Figure 3] 4 is a flowchart showing an image display method in the first embodiment. [Figure 4] (a) A map displayed by the image display device in the first embodiment, (b) A map in a conventional example. [Figure 5] FIG. 4 is a schematic diagram showing an analysis system according to a second embodiment of the present invention. [Figure 6] FIG. 10 is a schematic diagram showing an analysis system according to another embodiment of the present invention. [Figure 7] (a) A map after compression processing in the first embodiment, (b) A map obtained by noise removal in another embodiment of the present invention. DETAILED DESCRIPTION OF THE INVENTION

[0025] First Embodiment An image display device according to a first embodiment of the present invention and an analysis system including the image display device will be described below with reference to the drawings. Note that, for ease of understanding, some parts of the drawings shown below may be omitted or exaggerated in schematic form. Identical components will be assigned the same reference numerals, and descriptions thereof will be omitted.

[0026] <System configuration> The analysis system 100 in this embodiment monitors a measurement object S flowing through a predetermined process. Specifically, the analysis system 100 analyzes the rate of change of the measurement object S at each wavenumber when an external factor, which is one factor that indicates the measurement status of the measurement object S, is changed. Here, the wavenumber includes physical quantities equivalent to the wavenumber, such as wavelength and / or energy. The external factor refers to one factor that indicates the measurement status of the measurement object S, such as time, temperature, pressure, pH, position, humidity, amount of sample added, and / or flow rate. Furthermore, the rate of change of the measurement object S refers to, for example, the rate of change of the Raman spectrum when measuring Raman scattered light from the measurement object S, or the change in intensity of each wavelength of the spectrum.

[0027] Specifically, as shown in FIG. 1, the analysis system 100 includes a measurement device 10 that irradiates a measurement object S with light and detects Raman scattered light generated from the measurement object S, and an image display device 20 that creates a map showing the rate of change of the measurement object S based on the intensity of the Raman scattered light detected by the measurement device 10 and displays the map.

[0028] As shown in FIG. 1, the measuring device 10 includes a light irradiation unit 11 that irradiates a measurement object S with laser light, a spectrometer 12 that disperses Raman scattered light generated from the measurement object S by the laser light from the light irradiation unit 11, and a light detection unit 13 that detects the Raman scattered light dispersed by the spectrometer 12 and outputs the Raman spectrum.

[0029] The light irradiating unit 11 includes at least a laser light source that irradiates the measurement object S with laser light as excitation light. The light irradiating unit 11 may include a bandpass filter that transmits a predetermined wavelength component, and / or a half mirror that reflects the laser light toward the measurement object S and transmits Raman scattered light from the measurement object S.

[0030] The spectroscope 12 is, for example, a grating that separates the Raman scattered light into wave numbers.

[0031] The light detection unit 13 is a multi-channel detector such as a two-dimensional CCD that detects the Raman scattered light dispersed by the spectrometer 12 and outputs a Raman spectrum indicating the intensity of the Raman scattered light at each wavenumber. Here, the light detection unit 13 continuously detects the Raman scattered light at each wavenumber at regular intervals while the external factor is changing in a predetermined direction.

[0032] 1, the measuring device 10 may include a measurement data storage unit 14 that stores measurement data indicating data pairing the Raman spectrum at each wavenumber output from the light detection unit 13 with the external cause at the time of detection. The measurement data storage unit 14 is, for example, a general-purpose or dedicated computer equipped with a CPU, memory, AD converter, DA converter, etc., and stores the measurement data in a predetermined area of ​​the memory.

[0033] The image display device 20 is a general-purpose or dedicated computer equipped with a CPU, memory, AD converter, DA converter, etc., and may be provided integrally with the measurement data storage unit 14 or may be separate from the measurement data storage unit 14. The image display device 20 performs the functions of at least a change rate calculation unit 21, a compression processing unit 22, and a display unit 23, as shown in Fig. 1, by the CPU and / or its peripheral devices working together in accordance with an image display program stored in a predetermined area of ​​the memory. The functions of each unit will be explained below.

[0034] Here, the change rate calculation unit 21 acquires the measurement data stored in the measurement data storage unit 14. As shown in FIG. 2(a), the measurement data is a graph in which three orthogonal axes are wave number, external factor, and spectral intensity. Specifically, when the external factor changes from t1 to t2 to t3, the spectral intensity at wave number f1 is v 11 , v 21 , v 31 At wave number f2, the spectral intensity changes as follows: 12 , v 22 , v 32 Here, the spectral intensity v 12 to the spectral intensity v 32 The change in the spectral intensity from 11 to the spectral intensity v 31 It is assumed that the change in spectral intensity is, for example, 10 times or more larger than the change in spectral intensity up to the point where the change in spectral intensity reaches ...

[0035] Then, the change rate calculation unit 21 sets a predetermined interval in the direction of the external cause, and calculates the change rate of the measurement object S at all wave numbers within the predetermined interval. Here, the change rate of the measurement object S indicates the relationship between the external cause and the spectral intensity of the measurement object S at each wave number. The change rate of the measurement object S is calculated, for example, based on the following equation 1. In the following equation 1, the external cause is t, the value at the center of the predetermined interval in the direction of the external cause is j, the size from the center to the end of the predetermined interval in the direction of the external cause is m, and the intensity at the i-th wave number is v. i , the rate of change of the object S to be measured is P, the overlined t indicates the average of the external cause, and the overlined v indicates the average of the intensity. In Equation 1, the average of the external cause and the average of the wave number are calculated within a predetermined interval in the external cause direction.

[0036]

number

[0037] When the change rate calculation unit 21 calculates the change rate, the change rate P1 at wave number f1 and the change rate P2 at wave number f2 for a certain predetermined interval of external cause t (j±m) are shown as shown in Fig. 2(b), where the change rate P2 is, for example, 10 times or more larger than the change rate P1.

[0038] The compression processing unit 22 performs compression processing on the change rate calculated by the change rate calculation unit 21, which is processing to compress the absolute value of the change rate according to the absolute value of the change rate. In this embodiment, the compression processing unit 22 compresses the absolute value of the change rate so that the change rate does not change in positive or negative before and after the compression processing. Specifically, the compression processing refers to processing the change rate so that the compression amount for a large change rate is larger than the compression amount for a small change rate, as shown in Fig. 2(c).

[0039] As a result, as shown in Fig. 2(c), after the compression process, the difference between the small change rate P1 and the large change rate P2 becomes smaller while maintaining the positive or negative sign of the change rate as compared to before the compression process. In Fig. 2(c), although the compression process is performed on all the change rates in the external factor direction and the wave number direction, it may be performed on the change rates in some of the external factor directions and the wave number directions.

[0040] Specifically, the compression processing unit 22 substitutes the absolute value of the change rate as the input variable into a function in which the derivative of the output variable decreases as the input variable increases, thereby compressing the absolute value of the change rate. Here, examples of the function in which the derivative of the output variable decreases as the input variable increases include, but are not limited to, logarithmic functions. Also, the base of the logarithmic function is not limited to the natural logarithm and may be other values.

[0041] More specifically, the compression processing unit 22 compresses the absolute value of the change rate based on the following function. In the following function, x represents the change rate calculated by the change rate calculation unit 21, and y represents the change rate compressed by the compression processing unit 22.

[0042] (Function) (1) When x ≤ -1: y = -log e (-x) - 1 (2) When -1 < x < 1: y = x (3) When 1 ≤ x: y = log e (x) + 1

[0043] Specifically, the compression processing unit 22 compresses the absolute value of the rate of change by substituting it into a function corresponding to the value of the rate of change. More specifically, the compression processing unit 22 determines whether the rate of change calculated by the rate of change calculation unit 21 is −1 or less, greater than −1 and less than 1, or greater than 1. If the rate of change is −1 or less, the compression processing unit 22 compresses the absolute value of the rate of change by substituting it into the function expressed by (1) above. If the rate of change is greater than −1 and less than 1, the compression processing unit 22 compresses the absolute value of the rate of change by substituting it into the function expressed by (2) above. If the rate of change is 1 or greater, the compression processing unit 22 compresses the absolute value of the rate of change by substituting it into the function expressed by (3) above.

[0044] The display unit 23 creates and displays a map showing the relationship between the external cause and the rate of change at each wave number, with three orthogonal axes representing the wave number, the external cause, and the rate of change of the object to be measured S. In this embodiment, as shown in Fig. 2, the map has the wave number on the X axis, the external cause on the Y axis, and the rate of change on the Z axis, but the axes representing the wave number, the external cause, and the rate of change may be interchanged between the X axis, the Y axis, and the Z axis.

[0045] Specifically, the display unit 23 is, for example, a display, and displays on a map the rate of change compressed by the compression processing unit 22. The map displayed by the display unit 23 is, for example, a two-dimensional graph with the horizontal axis representing wavenumber and the vertical axis representing external factors, and the rate of change is color-coded according to whether it is positive or negative and the magnitude of the rate of change.

[0046] <Image display method> Next, an image display method according to this embodiment will be described with reference to FIG.

[0047] While the external cause is changing in a predetermined direction, the light detecting unit 13 continuously detects Raman scattered light at each wave number at regular intervals. Then, the measurement data obtained from the light detecting unit 13 is stored in the measurement data storage unit 14. In this state, the change rate calculating unit 21 acquires the measurement data from the measurement data storage unit 14 (S1).

[0048] Next, the change rate calculation unit 21 calculates the change rate of the object S to be measured based on the measurement data (S2). Here, the change rate of the object S to be measured at wave number f for a certain external cause is calculated, and this calculation of the change rate of the object S to be measured is performed for all wave numbers. In this case, as shown in FIG. 2(b), for an external cause at a certain predetermined interval, the magnitude of the change rate P1 at wave number f1 and the change rate P2 at wave number f2 may be extremely different.

[0049] After the change rate calculation unit 21 calculates the change rate, the compression processing unit 22 compresses the absolute value of the change rate calculated by the change rate calculation unit 21 in accordance with the absolute value of the change rate (S3). As a result, as shown in Fig. 2(b), after the compression processing, the difference between the change rate P1 at wave number f1 and the change rate P2 at wave number f2 becomes smaller for an external cause at a certain predetermined interval.

[0050] After the compression processing unit 22 performs the compression processing, the display unit 23 displays the compressed change rate on a map (S4).

[0051] <Example> The present invention will be described in more detail below with reference to examples. The present invention is not limited to the following examples, and can of course be practiced with appropriate modifications within the scope of the invention, all of which are included in the technical scope of the invention.

[0052] FIG. 4 shows a map displayed by the image display device 20 of this embodiment (FIG. 4(a)) and a map of a conventional example (FIG. 4(b)). In this example, when the external factor is changed from 0 to 100, the spectral intensity at wavenumber 200 changes from 8 to 80, the spectral intensity at wavenumber 400 changes from 8 to 800, the spectral intensity at wavenumber 600 changes from 800 to 720, and the spectral intensity at wavenumber 800 changes from 800 to 8. As a result, the rate of change at wavenumber 400 is 10 times the rate of change at wavenumber 200. Furthermore, the rate of change at wavenumber 800 is 10 times the rate of change at wavenumber 600.

[0053] As shown in FIG. 4(a), the user can recognize the rate of change at all wave numbers in the map after compression processing. Specifically, the rate of change at wave number 200 is colored to an extent that the user can recognize it. The rate of change at wave number 600 is also colored to an extent that the user can recognize it. Therefore, the user can recognize all rate of change in the map after compression processing.

[0054] On the other hand, as shown in Fig. 4(b), in the map of the conventional example, the rate of change at wavenumber 200 and the rate of change at wavenumber 600 are extremely small compared to the rate of change at wavenumber 400 and the rate of change at wavenumber 800, respectively. As a result, the rate of change at wavenumber 200 and the rate of change at wavenumber 600 appear to be uncolored, and the user is unable to recognize the rate of change at wavenumber 200 and the rate of change at wavenumber 600.

[0055] <Effects of the first embodiment> According to the image display device 20 of this embodiment, the compression processing unit 22 performs a compression process that compresses the absolute values ​​of the change rates according to the absolute values ​​of the change rates, thereby reducing the differences between the change rates in the map after the compression process. Therefore, in a map showing the relationship between the external factors and the change rates at each wave number, with three orthogonal axes representing wave number, external factors, and change rates, it is possible to recognize small change rates that the user could not recognize before the compression process due to their extremely different magnitudes. As a result, the user can simultaneously grasp multiple change rates that were extremely different in magnitude before the compression process, and can easily grasp the extent of the change in the object being measured at each wave number.

[0056] Second Embodiment Next, an image display device according to a second embodiment of the present invention and an analysis system including the image display device will be described with reference to the drawings. Note that, in the following, only parts different from the first embodiment will be described, and the same components will be denoted by the same reference numerals.

[0057] Unlike the first embodiment (which is configured to perform compression processing according to the absolute value of the change rate), the image display device 20 of the second embodiment is configured to perform a normalization process, which is a process of normalizing the change rate calculated by the change rate calculation unit 21.

[0058] Specifically, the image display device 20 of the second embodiment includes, instead of the compression processing unit 22 of the first embodiment, a normalization processing unit 24 that performs normalization processing, which is processing to normalize the change rate calculated by the change rate calculation unit 21, as shown in Fig. 5. Here, normalization processing refers to processing the change rate so that the change rate falls within the range of -1 to 1.

[0059] The normalization processing unit 24 of the second embodiment performs normalization processing on the change rates calculated by the change rate calculation unit 21 by dividing the change rate at each wave number by the maximum absolute value of the change rate. Here, the maximum value of the change rate used in the normalization processing refers to the change rate with the largest absolute value among the change rates calculated by the change rate calculation unit 21. Note that, although the normalization processing unit 24 performs normalization processing on all change rates in the second embodiment, it may also perform normalization processing on some of the change rates as long as the user can recognize multiple change rates with different magnitudes on the display unit 23.

[0060] The display unit 23 of the second embodiment displays a normalized map. The map displayed by the display unit 23 of the second embodiment is a two-dimensional graph with the horizontal axis representing wavenumber and the vertical axis representing external factors, similar to the first embodiment, and the rate of change is color-coded according to whether it is positive or negative and the magnitude of the rate of change.

[0061] <Effects of the second embodiment> According to the image display device 20 of this embodiment, as in the first embodiment, it is possible to recognize small change rates that the user could not recognize before the normalization process due to the extreme difference in magnitude.

[0062] In addition, normalization processing unit 24 performs normalization by dividing the rate of change at each wavenumber by the maximum value of the rate of change in the map created by change rate calculation unit 21, so the rate of change after normalization is expressed in the range of −1 to 1. As a result, the difference between the rates of change after normalization is smaller than the rates of change before normalization, so that rates of change that differ greatly can be recognized on the same display unit 23.

[0063] <Other embodiments> The present invention is not limited to the above-described embodiment.

[0064] For example, as shown in Fig. 6, the image display device 20 may further include a smoothing processor 25 that smoothes a plurality of compressed change rates or a plurality of normalized change rates. In a map with three orthogonal axes representing wavenumber, external factors, and change rate, adjacent change rates in the wavenumber direction usually exhibit similar values, but when adjacent change rates in the wavenumber direction are extremely different, it is considered that noise is superimposed on the change rate. Therefore, the smoothing processor 25 performs smoothing to reduce the difference between the change rates in order to reduce the influence of noise from the change rates.

[0065] In this case, the display unit 23 displays, on a map, the rate of change that has been subjected to compression processing or normalization processing and then processed by the smoothing processing unit 25. Note that, although the configuration in Fig. 6 shows that the smoothing processing unit 25 is provided after the compression processing by the compression processing unit 22, the smoothing processing unit 25 may also be provided after the normalization processing by the normalization processing unit 24.

[0066] Specifically, the smoothing processor 25 may perform binning on the rate of change at each wave number. Here, the binning process refers to a process in which a plurality of predetermined intervals adjacent to each other in the wave number direction are set, the rate of change within a certain interval is averaged, and the rate of change within the adjacent interval is averaged.

[0067] Before the binning process is performed, as shown in Fig. 7(a), in the map of the first embodiment, positive and negative change rates are mixed even in wavenumber regions where there is no change, such as the wavenumber region from 0 to 200 and the wavenumber region from 900 to 1000, making it appear as if changes are occurring. When the binning process is performed, the change rates become close to 0 in wavenumber regions where there is no change, such as the wavenumber region from 0 to 200 and the wavenumber region from 900 to 1000, as shown in Fig. 7(b), and it can be seen that the influence of noise is reduced.

[0068] With this configuration, the smoothing processing unit 25 will exhibit a rate of change close to 0 in wavenumber regions where there is no change, such as the wavenumber regions from 0 to 200 and the wavenumber regions from 900 to 1000, while in regions where there is a small change, such as the wavenumber region of 200 or 600, the rate of change will exhibit a value close to 1, so the user can clearly distinguish between cases where there is no change and cases where a small change has occurred on the map.

[0069] Although the smoothing processor 25 reduces the influence of noise by performing binning processing in the above embodiment, the present invention is not limited to this. For example, the smoothing processor 25 may perform smoothing processing by comparing the rates of change between adjacent wavenumbers in a map that has been subjected to compression processing or normalization processing.

[0070] In the above embodiment, the measurement device 10 detects Raman scattered light generated from the measurement object S, but is not limited to this. For example, the measurement device 10 may use Fourier transform infrared spectroscopy (FTIR), X-ray fluorescence spectroscopy (XRF), ultraviolet-visible spectroscopy, or other optical analysis methods.

[0071] In the above embodiment, the compression processing unit 22 compresses the absolute value of the rate of change by substituting the absolute value of the rate of change as an input variable into a function in which the derivative of the output variable decreases as the input variable increases, but this is not limiting. For example, the compression processing unit 22 may perform compression processing by compressing the rate of change at each wavenumber at a predetermined compression rate.

[0072] In the above embodiment, the map displayed by the display unit 23 is a two-dimensional graph with the wave number on the horizontal axis and the external factor on the vertical axis, and the rate of change is color-coded according to whether it is positive or negative and the magnitude of the rate of change, but it may also be a three-dimensional graph with the wave number, external factor, and rate of change on three orthogonal axes.

[0073] In the above embodiment, the display unit 23 creates a map with three orthogonal axes representing wave number, external cause, and rate of change, and displays the map. However, the creation of a map with three orthogonal axes representing wave number, external cause, and rate of change may be performed by a device separate from the display unit 23.

[0074] In the above embodiment, the function used by the compression processing unit 22 for the compression process is a function, such as a logarithmic function, in which the derivative of the output variable in all regions of the output variable decreases as the input variable increases, but it may also be a function in which the derivative of the output variable in a part of the region of the output variable decreases as the input variable increases.

[0075] In addition, the present invention can be modified in various ways without departing from the spirit of the invention. [Explanation of symbols]

[0076] 100...Analysis System 10. Measuring device 20 Image display device 21. Rate of change calculation section 22 Compression processing unit 23...Display section 24 Standardization processing section 25 Smoothing processing section

Claims

1. An image display device that displays a rate of change of a measurement object relative to an external factor, which is a factor indicating a measurement situation of the measurement object, at each wave number, a change rate calculation unit that calculates the change rate with respect to the external cause at each wave number; a compression processing unit that performs a compression process on the rate of change calculated by the rate of change calculation unit, the compression process being a process of compressing the absolute value of the rate of change in accordance with the absolute value of the rate of change; a display unit that displays the compressed rate of change in a map having three orthogonal axes of the wave number, the external cause, and the rate of change.

2. The image display device according to claim 1 , wherein the rate of change indicates a relationship between the external cause and the spectral intensity of the object to be measured at each wave number.

3. 3. The image display device according to claim 1, wherein the compression processing unit compresses the absolute value of the rate of change by substituting the absolute value of the rate of change as the input variable into a function in which a derivative of an output variable decreases as the input variable increases.

4. The image display device according to claim 1 , wherein the compression processing unit compresses the absolute value of the rate of change by substituting the absolute value of the rate of change into a logarithmic function.

5. The image display device according to claim 1 , wherein the compression processing unit compresses the absolute value of the rate of change based on the following function: (function) If x≦−1: y=−log e (-x)-1 If -1<x<1: y=x If 1≦x: y=log e (x) + 1 Here, x is the rate of change calculated by the rate of change calculation unit, and y is the rate of change after compression processing.

6. a smoothing processing unit that smoothes adjacent change rates in a wave number direction among the plurality of change rates that have been compressed; The image display device according to claim 1 , wherein the display unit displays the rate of change after the smoothing process by the smoothing processor on the map.

7. The image display device according to claim 6 , wherein the smoothing processing unit performs binning processing on the rate of change at each wave number.

8. 1. An image display method for displaying a rate of change of a measurement object relative to an external factor, which is a factor indicating a measurement situation of the measurement object, at each wavenumber, comprising: Calculating the rate of change with respect to the external cause at each wave number; performing a compression process on the rate of change calculated by the rate of change calculation unit, the compression process being a process of compressing the absolute value of the rate of change in accordance with the absolute value of the rate of change; An image display method for displaying the compressed rate of change in a map having three orthogonal axes representing the wave number, the external cause, and the rate of change.

9. An image display program used in an image display device that displays a rate of change of a measurement object relative to an external factor, which is a factor indicating a measurement situation of the measurement object, at each wave number, a function as a change rate calculation unit that calculates the change rate with respect to the external cause at each wave number; a function as a compression processing unit that performs a compression process on the rate of change calculated by the rate of change calculation unit, which is a process of compressing the absolute value of the rate of change in accordance with the absolute value of the rate of change; and a display unit that displays the compressed rate of change in a map having three orthogonal axes, the wave number, the external cause, and the rate of change.

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