Image projection method and MEMS image projection apparatus

1. An image projection method for controlling a microelectromechanical system (MEMS) scanning mirror to swing around a first swing axis in order to project an image light beam on a projection plane along a first direction, the image projection method comprising:

measuring a resonance frequency and a damping coefficient of the MEMS scanning mirror swinging around the first swing axis;

calculating a first amplitude scale and a first maintaining period according to the resonance frequency and the damping coefficient, wherein the first amplitude scale is calculated by following equation:

α

=

1

1

+

ⅇ

-

π

⁢

⁢

ζ

1

-

ζ

2

where, α is a first ratio coefficient, ζ is a damping coefficient, and the first amplitude scale is a multiplication of the first ratio coefficient and an amplitude of the periodic wave signal;

generating a periodic wave signal, wherein each time when a level of the periodic wave signal rises to the first amplitude scale, during the first maintaining period, the level of the periodic wave signal is maintained at the first amplitude scale;

inputting the periodic wave signal to the MEMS scanning mirror to control the MEMS scanning mirror to swing, and recording a swing speed error of the MEMS scanning mirror;

adjusting the first amplitude scale and the first maintaining period to change the periodic wave signal, and recording the corresponding swing speed error; and

generating a corrected periodic wave signal to control the MEMS scanning mirror to swing according to the recorded swing speed error.

2. The image projection method as claimed in claim 1 , wherein the first maintaining period is a half of a reciprocal of the resonance frequency.

3. The image projection method as claimed in claim 1 , wherein the periodic wave signal is a triangular wave signal, a time for a level of the triangular wave signal rising from a trough to a peak is less than a time for the level of the triangular wave signal falling from the peak to the trough.

4. An image projection method for controlling a microelectromechanical system (MEMS) scanning mirror to swing around a first swing axis in order to project an image light beam on a projection plane along a first direction, the image projection method comprising:

measuring a resonance frequency and a damping coefficient of the MEMS scanning mirror swinging around the first swing axis;

calculating a first amplitude scale and a first maintaining period according to the resonance frequency and the damping coefficient;

generating a periodic wave signal, wherein each time when a level of the periodic wave signal rises to the first amplitude scale, during the first maintaining period, the level of the periodic wave signal is maintained at the first amplitude scale;

inputting the periodic wave signal to the MEMS scanning mirror to control the MEMS scanning mirror to swing, and recording a swing speed error of the MEMS scanning mirror;

adjusting the first amplitude scale and the first maintaining period to change the periodic wave signal, and recording the corresponding swing speed error; and

generating a corrected periodic wave signal to control the MEMS scanning mirror to swing according to the recorded swing speed error,

wherein the step of recording the swing speed error of the MEMS scanning mirror comprises:

recording a swing position variation of the MEMS scanning mirror;

calculating a differential curve of the swing position variation; and

calculating the swing speed error of the MEMS scanning mirror according to a segment of the differential curve corresponding to a level falling segment of the periodic wave signal.

5. An image projection method for controlling a microelectromechanical system (MEMS) scanning mirror to swing around a first swing axis in order to project an image light beam on a projection plane along a first direction, the image projection method comprising:

measuring a resonance frequency and a damping coefficient of the MEMS scanning mirror swinging around the first swing axis;

calculating a first amplitude scale and a first maintaining period according to the resonance frequency and the damping coefficient;

generating a periodic wave signal, wherein each time when a level of the periodic wave signal rises to the first amplitude scale, during the first maintaining period, the level of the periodic wave signal is maintained at the first amplitude scale;

inputting the periodic wave signal to the MEMS scanning mirror to control the MEMS scanning mirror to swing, and recording a swing speed error of the MEMS scanning mirror;

adjusting the first amplitude scale and the first maintaining period to change the periodic wave signal, and recording the corresponding swing speed error; and

generating a corrected periodic wave signal to control the MEMS scanning mirror to swing according to the recorded swing speed error comprising:

calculating the first amplitude scale and the first maintaining period according to a quadratic approximation method when the swing speed error is the minimum; and

generating the corrected periodic wave signal according to the corresponding first amplitude scale and the first maintaining period.

6. The image projection method as claimed in claim 1 , wherein the step of generating the periodic wave signal comprises:

performing a filtering processing to the periodic wave signal to filter noise.

7. The image projection method as claimed in claim 1 , wherein the MEMS scanning mirror further swings around a second swing axis, and projects the image light beam on the projection plane along a second direction.

8. A microelectromechanical system (MEMS) image projection apparatus for applying an image projection method to project an image light beam on a projection plane along a first direction, the MEMS image projection apparatus comprising:

a MEMS scanning mirror, having a resonance frequency and a damping coefficient when swinging around a first swing axis;

a detection unit, detecting a swing position variation of the MEMS scanning mirror;

a periodic wave signal generator, coupled to the MEMS scanning mirror, for outputting a periodic wave signal having a first frequency to the MEMS scanning mirror according to a first amplitude scale and a first maintaining period, so as to control the MEMS scanning mirror to swing around the first swing axis according to the first frequency, and accordingly project an image light beam on the projection plane along the first direction; and

a control unit, coupled to the periodic wave signal generator and the detection unit, for calculating the first amplitude scale and the first maintaining period according to the resonance frequency and the damping coefficient, and controlling the periodic wave signal generator to output the periodic wave signal,

wherein the control unit calculates the first amplitude scale by following equation:

α

=

1

1

+

ⅇ

-

π

⁢

⁢

ζ

1

-

ζ

2

where, α is a first ratio coefficient, ζ is a damping coefficient, and the first amplitude scale is a multiplication of the first ratio coefficient and an amplitude of the periodic wave signal,

wherein the control unit calculates a swing speed error of the MEMS scanning mirror according to the swing position variation of the MEMS scanning mirror, the control unit adjusts the first amplitude scale and the first maintaining period and records the corresponding swing speed error, the control unit controls the periodic wave signal generator to output a corrected periodic wave signal according to the recorded swing speed error, so as to control the MEMS scanning mirror to swing.

9. The MEMS image projection apparatus as claimed in claim 8 , further comprising:

a low-pass filter unit, coupled between the periodic wave signal generator and the MEMS scanning mirror, and performing a filtering processing to the periodic wave signal to filter noise; and

a digital-to-analog converter, coupled between the low-pass filter unit and the MEMS scanning mirror, and converting the periodic wave signal into an analog control signal.

10. The MEMS image projection apparatus as claimed in claim 8 , wherein the first maintaining period is a half of a reciprocal of the resonance frequency.

11. The MEMS image projection apparatus as claimed in claim 8 , wherein the periodic wave signal is a triangular wave signal, a time for a level of the triangular wave signal rising from a trough to a peak is less than a time for the level of the triangular wave signal falling from the peak to the trough.

12. The MEMS image projection apparatus as claimed in claim 8 , wherein the detection unit comprises a position sensing device, and the position sensing device records the swing position variation of the MEMS scanning mirror through piezoelectric sensing or capacitive sensing.

13. A microelectromechanical system (MEMS) image projection apparatus for applying an image projection method to project an image light beam on a projection plane along a first direction, the MEMS image projection apparatus comprising:

a MEMS scanning mirror, having a resonance frequency and a damping coefficient when swinging around a first swing axis;

a detection unit, detecting a swing position variation of the MEMS scanning mirror;

a periodic wave signal generator, coupled to the MEMS scanning mirror, for outputting a periodic wave signal having a first frequency to the MEMS scanning mirror according to a first amplitude scale and a first maintaining period, so as to control the MEMS scanning mirror to swing around the first swing axis according to the first frequency, and accordingly project an image light beam on the projection plane along the first direction; and

a control unit, coupled to the periodic wave signal generator and the detection unit for calculating the first amplitude scale and the first maintaining period according to the resonance frequency and the damping coefficient, and controlling the periodic wave signal generator to output the periodic wave signal,

wherein the control unit calculates a swing speed error of the MEMS scanning mirror according to the swing position variation of the MEMS scanning mirror, the control unit adjusts the first amplitude scale and the first maintaining period and records the corresponding swing speed error, the control unit controls the periodic wave signal generator to output a corrected periodic wave signal according to the recorded swing speed error, so as to control the MEMS scanning mirror to swing,

wherein the control unit calculates a differential curve of the swing position variation, and calculates the swing speed error of the MEMS scanning mirror according to a segment of the differential curve corresponding to a level falling segment of the periodic wave signal.

14. A microelectromechanical system (MEMS) image projection apparatus for applying an image projection method to project an image light beam on a projection plane along a first direction, the MEMS image projection apparatus comprising:

a MEMS scanning mirror, having a resonance frequency and a damping coefficient when swinging around a first swing axis;

a detection unit, detecting a swing position variation of the MEMS scanning mirror;

a periodic wave signal generator, coupled to the MEMS scanning mirror, for outputting a periodic wave signal having a first frequency to the MEMS scanning mirror according to a first amplitude scale and a first maintaining period, so as to control the MEMS scanning mirror to swing around the first swing axis according to the first frequency, and accordingly project an image light beam on the projection plane along the first direction; and

a control unit, coupled to the periodic wave signal generator and the detection unit, for calculating the first amplitude scale and the first maintaining period according to the resonance frequency and the damping coefficient, and controlling the periodic wave signal generator to output the periodic wave signal,

wherein the control unit calculates a swing speed error of the MEMS scanning mirror according to the swing position variation of the MEMS scanning mirror, the control unit adjusts the first amplitude scale and the first maintaining period and records the corresponding swing speed error, the control unit controls the periodic wave signal generator to output a corrected periodic wave signal according to the recorded swing speed error, so as to control the MEMS scanning mirror to swing,

wherein the control unit calculates the corresponding first amplitude scale and the first maintaining period according to a quadratic approximation method when the swing speed error is the minimum by using the recorded swing speed error, so as to control the periodic wave signal generator to generate the corrected periodic wave signal.

15. The MEMS image projection apparatus as claimed in claim 8 , wherein the MEMS scanning mirror further swings around a second swing axis, and projects the image light beam on the projection plane along a second direction.