Claims Analysis
Total Claims: 21
Claim 1
Independent Claim
74 words
A method for evaluating cancellous bone comprising the steps of: (a) irradiating cancellous bone with radiation; (b) measuring the transmitted radiation to form a bone density pattern; (c) directly transforming the density pattern by a Fourier transformation as a periodic function of f(x) to a Fourier series: ##EQU4## to determine the Fourier factors An and Bn followed by determining a power spectrum Cn as follows: ##EQU5## and plotting the power spectrum C n .
Claim 2
Independent Claim
74 words
A method for evaluating cancellous bone comprising the steps of: (a) irradiating cancellous bone with radiation; (b) measuring the transmitted radiation to form a bone density pattern; (c) directly transforming the density pattern by a Fourier transformation as a periodic function of f(x) to a Fourier series: ##EQU4## to determine the Fourier factors An and Bn followed by determining a power spectrum Cn as follows: ##EQU5## and plotting the power spectrum C n .
Claim 3
Dependent Claim
23 words
A method according to claim 1, wherein the radiation is a photon beam and the beam density pattern is formed by direct monitoring.
Claim 4
Dependent Claim
28 words
A method according to claim 1, wherein the radiation is X-ray and the density pattern is based on densitometric measurement of an X-ray photograph of the cancellous bone.
Claim 5
Dependent Claim
20 words
A method as in claim 1, wherein the radiation is passed perpendicularly through the main trabeculae of the cancellous bone.
Claim 6
Dependent Claim
21 words
A method according to claim 1, further comprising subtracting a direct current component from the density pattern prior to Fourier transformation.
Claim 7
Dependent Claim
21 words
A method according to claim 5, wherein the direct current component stands for a straight line approximating the bone density pattern.
Claim 8
Dependent Claim
21 words
A method according to claim 5, wherein the direct current component stands for a broad curve approximating the bone density pattern.
Claim 9
Dependent Claim
36 words
A method according to claim 1, wherein the cancellous bone is at least one member selected from the group consisting of a calcaneus, spine, carpal bone, tarsal bone, talus, and an epiphsial portion of long bone.
Claim 10
Dependent Claim
29 words
A method according to claim 1 wherein density measurements are made over at least 10 different 10 millimeter segments of cancellous bone, and the Power Spectra value is averaged.
Claim 11
Dependent Claim
44 words
A method for evaluating cancellous bone according to claim 1 further comprising obtaining the first and second sums of the power spectra at a first and second regions of the power spectra and comparing the first and second sums to obtain a ratio thereof.
Claim 12
Dependent Claim
42 words
A method for evaluating cancellous bone as claimed in claim 10, wherein the first and second regions are a region of from n=5 to n=20 of the power spectra and a region of from n=40 to n=127 of the power spectra, respectively.
Claim 13
Independent Claim
78 words
A method for evaluating a calcaneus comprising the steps of: (a) irradiating the calcaneus substantially perpendicularly against the principle trabeculae of the calcaneus with radiation to obtain a density pattern; (b) calculating the area (ΣGS) of the density pattern; (c) evaluating the degree of the bone atrophy by using the area (ΣGS); (d) transforming the density pattern by Fourier transformation to obtain a power spectrum; and (e) evaluating the trabeculae of the calcaneus based on the power spectrum.
Claim 14
Independent Claim
78 words
A method for evaluating a calcaneus comprising the steps of: (a) irradiating the calcaneus substantially perpendicularly against the principle trabeculae of the calcaneus with radiation to obtain a density pattern; (b) calculating the area (ΣGS) of the density pattern; (c) evaluating the degree of the bone atrophy by using the area (ΣGS); (d) transforming the density pattern by Fourier transformation to obtain a power spectrum; and (e) evaluating the trabeculae of the calcaneus based on the power spectrum.
Claim 15
Dependent Claim
56 words
A method according to claim 12 wherein the Fourier transformation is effected directly from the density pattern as a periodic function of f(x) to a Fourier series: ##EQU6## to determine the Fourier factors An and Bn, followed by determining a power spectrum Cn as follows: ##EQU7## and further comprising plotting the power spectrum C n .
Claim 16
Independent Claim
104 words
A method for evaluating a calcaneus comprising the steps of: (a) irradiating the calcaneus substantially perpendicularly against the principle trabeculae of the calcaneus with radiation to obtain a density pattern; (b) measuring the bone width (D); (c) calculating the area (ΣGS) of the density pattern corresponding to the bone width (D); (d) evaluating the degree of the bone atrophy by using the value (ΣGS/D) obtained by dividing the area (ΣGS) by the bone width (D) of the calcaneus; (e) transforming the density pattern by Fourier transformation to obtain a power spectrum; and (f) evaluating the trabeculae of the calcaneus based on the power spectrum.
Claim 17
Independent Claim
104 words
A method for evaluating a calcaneus comprising the steps of: (a) irradiating the calcaneus substantially perpendicularly against the principle trabeculae of the calcaneus with radiation to obtain a density pattern; (b) measuring the bone width (D); (c) calculating the area (ΣGS) of the density pattern corresponding to the bone width (D); (d) evaluating the degree of the bone atrophy by using the value (ΣGS/D) obtained by dividing the area (ΣGS) by the bone width (D) of the calcaneus; (e) transforming the density pattern by Fourier transformation to obtain a power spectrum; and (f) evaluating the trabeculae of the calcaneus based on the power spectrum.
Claim 18
Dependent Claim
56 words
A method according to claim 14, wherein the Fourier transformation is effected directly from the density pattern as a periodic function of f(x) to a Fourier series: ##EQU8## to determine the Fourier factors An and Bn, followed by determining a power spectrum Cn as follows: ##EQU9## and further comprising plotting the power spectrum C n .
Claim 19
Independent Claim
108 words
A method for evaluating a calcaneus comprising the steps of: (a) irradiating the calcaneus substantially perpendicularly against the principle trabeculae of the calcaneus with radiation to obtain a density pattern; (b) measuring the bone width (D); (c) calculating the area (ΣGS) of the density pattern corresponding to the bone width (D); (d) evaluating the degree of the bone atrophy by using the area (ΣGS/D) and the value (ΣGS/D) obtained by dividing the area (ΣGS) by the bone width (D) of the calcaneus; (e) transforming the density pattern by Fourier transformation to obtain a power spectrum, and (f) evaluating the trabeculae of the calcaneus based on the power spectrum.
Claim 20
Independent Claim
108 words
A method for evaluating a calcaneus comprising the steps of: (a) irradiating the calcaneus substantially perpendicularly against the principle trabeculae of the calcaneus with radiation to obtain a density pattern; (b) measuring the bone width (D); (c) calculating the area (ΣGS) of the density pattern corresponding to the bone width (D); (d) evaluating the degree of the bone atrophy by using the area (ΣGS/D) and the value (ΣGS/D) obtained by dividing the area (ΣGS) by the bone width (D) of the calcaneus; (e) transforming the density pattern by Fourier transformation to obtain a power spectrum, and (f) evaluating the trabeculae of the calcaneus based on the power spectrum.
Claim 21
Dependent Claim
56 words
A method according to claim 16 wherein the Fourier transformation is effected directly from the density pattern as a periodic function of f(x) to a Fourier series: ##EQU10## to determine the Fourier factors An and Bn, followed by determining a power spectrum Cn as follows: ##EQU11## and further comprising plotting the power spectrum C n .