Ultrasonic 3-dimensional image reconstruction method and ultrasonic wave system thereof

1. A method for reconstructing a three-dimensional ultrasound image, the method comprising steps of:

generating a two-dimensional image having various directivities in a frequency space based on plane wave data;

manipulating the generated two-dimensional image to generate three-dimensional image data; and

reconstructing a three-dimensional ultrasound image by performing an inverse fast Fourier transformation on the three-dimensional image data,

wherein the step of manipulating the generated two-dimensional image comprises the step of back-projecting the generated two-dimensional image to generate the three-dimensional image data by taking a function defined on each of a plurality of lines in the generated two-dimensional image and projecting the function back over each line to generate the three-dimensional image data.

2. The method of claim 1 , wherein the step of generating a two-dimensional image comprises generating the two-dimensional image using a fast Fourier transformation.

3. The method of claim 1 , wherein the step of manipulating the generated two-dimensional image comprises the step of filtering the generated two-dimensional image before back-projecting.

4. The method of claim 1 , wherein the step of reconstructing a three-dimensional ultrasound image further comprises the step of applying compressed sensing to the generated three-dimensional image data.

5. The method of claim 1 , wherein the step of reconstructing a three-dimensional ultrasound image further comprises the step of de-noising the generated three-dimensional image data.

6. The method of claim 1 , further comprising the step of transmitting, prior to the generating, manipulating and reconstructing steps, plane wave data from a plurality of directions via an ultrasound probe.

7. The method of claim 1 , further comprising the step of displaying the reconstructed three-dimensional ultrasound image.

8. The method of claim 1 , wherein the method is implemented using a computer-readable medium.

9. The method of claim 1 , wherein the step of back-projecting the generated two-dimensional image includes the step of applying a dual Radon transform to the generated two-dimensional image.

10. An ultrasound system, comprising:

a two-dimensional image formation unit configured to generate a two-dimensional image having various directivities in a frequency space based on plane wave data;

a three-dimensional image reconstruction unit configured to manipulate the generated two-dimensional image to generate three-dimensional image data and reconstruct a three-dimensional ultrasound image by performing an inverse fast Fourier transformation on the three-dimensional image data,

wherein the three-dimensional image reconstruction unit is configured to apply back-projection to the generated two-dimensional image to generate the three-dimensional image data such that a function defined on each of a plurality of lines in the generated two-dimensional image is projected back over each line to generate the three-dimensional image data.

11. The system of claim 10 , wherein the two-dimensional image formation unit is configured to apply a fast Fourier transformation to generate the two-dimensional image.

12. The system of claim 10 , wherein the three-dimensional image reconstruction unit is configured to filter the generated two-dimensional image before applying the back-projection to the generated two-dimensional image.

13. The system of claim 10 , wherein the three-dimensional image reconstruction unit further is configured to apply compressed sensing to the three-dimensional image data to reconstruct the three-dimensional ultrasound image.

14. The system of claim 10 , wherein the three-dimensional image reconstruction unit is further configured to apply de-noising to the three-dimensional image data to reconstruct the three-dimensional ultrasound image.

15. The system of claim 10 , further comprising an ultrasound probe configured to generate the plane wave data and transmit the plane wave data to the two-dimensional image formation unit.

16. The system of claim 10 , further comprising a display unit configured to display the reconstructed three-dimensional ultrasound image.

17. The system of claim 10 , wherein the three-dimensional image reconstruction unit is configured to apply back-projection to the generated two-dimensional image by applying a dual Radon transform to the generated two-dimensional image.

18. A computer readable medium comprising instructions that cause a computer processor to:

generate a two-dimensional image having various directivities in a frequency space based on plane wave data;

manipulate the generated two-dimensional image to generate three-dimensional image data; and

reconstruct a three-dimensional ultrasound image by performing an inverse fast Fourier transformation on the three-dimensional image data,

wherein the instructions causes the computer processor to apply back-projection to the generated two-dimensional image to generate the three-dimensional image data such that a function defined on each of a plurality of lines in the generated two-dimensional image is projected back over each line to generate the three-dimensional image data.

19. The computer readable medium of claim 18 , wherein the instructions causes the computer processor to apply back-projection to the generated two-dimensional image by applying a dual Radon transform to the generated two-dimensional image.