Focus measure based on the energy of high-frequency components in the S transform
Muhammad Tariq Mahmood1, Tae-Sun Choi
1School of Information and Mechatronics, Gwangju Institute of Science and Technology, 261 Cheomdan Gwagiro,Buk-Gu, Gwangju 500-712, Korea.
Abstract:
Focus measure plays a fundamental role in the shape from focus technique. In this Letter, we suggest a focus measure in the S-transform domain that is based on the energy of high-frequency components. A localized spectrum by using variable window size provides a more accurate method of measuring image sharpness as compared to other focus measures proposed in spectral domains. An optimal focus measure is obtained by selecting an appropriate frequency-dependent window width. The performance of the proposed focus measure is compared with those of existing focus measures in terms of three-dimensional shape recovery. Experimental results demonstrate the effectiveness of the proposed focus measure.
Related Concept Videos
Basic signals of Fourier Transform
The sinc function, defined as sinc(x) = sin(πx)/(πx), is particularly notable for its symmetry and behavior at zero. It...
Discrete Fourier Transform
Discrete-Time Fourier Series
For a discrete-time periodic signal x[n]...
Relation of DFT to z-Transform
To understand how the DFT works, it's helpful to consider the z-transform, which is a method for representing discrete sequences in the complex frequency domain. The z-transform involves summing the terms of...
Properties of Fourier Transform I
In radio broadcasting, multiple audio signals often need to be transmitted simultaneously. The Fourier...
Aliasing
If the sampling frequency is below the Nyquist rate, these replicas overlap, preventing the original signal...


