Maxine Varughese
Ph.D. FinalJun 23, 2025, 12:00 pm - 2:00 pm
Scott Bioengineering 229 and Teams
Quantitative Analysis of Localization Precision Limit in Single-Pixel Localization Microscopy with Spatio-Temporally Modulated Illumination
Abstract: This work presents a theoretical study of localization precision in Single-Pixel Localization Microscopy (SPLM) using spatio-temporally modulated (STM) illumination. Inspired by CHIRPT microscopy, SPLM encodes spatial position through temporally varying structured light and recovers emitter locations from a single-pixel detector signal.
We develop a statistical framework based on the Fisher Information (FI) and Cramér-Rao Lower Bound (CRLB) to evaluate the fundamental limits of localization precision. We also extend the analysis to the Misspecified Cramér-Rao Bound (MCRB) to account for model mismatch due to optical aberrations. Simulated calculations explore how system parameters affect the fisher information matrix (FIM) structure and identify conditions for weak parameter correlation using metrics like the Hadamard ratio and geometric interpretation of the FIM.
Localization is performed via FISTA with BFGS refinement, and resulting precisions are compared against the CRLB to evaluate algorithm effectiveness with and without model perturbations. This work provides theoretical guidance for designing high-precision, camera-free localization systems and for validating reconstruction algorithms under imperfect models.
We develop a statistical framework based on the Fisher Information (FI) and Cramér-Rao Lower Bound (CRLB) to evaluate the fundamental limits of localization precision. We also extend the analysis to the Misspecified Cramér-Rao Bound (MCRB) to account for model mismatch due to optical aberrations. Simulated calculations explore how system parameters affect the fisher information matrix (FIM) structure and identify conditions for weak parameter correlation using metrics like the Hadamard ratio and geometric interpretation of the FIM.
Localization is performed via FISTA with BFGS refinement, and resulting precisions are compared against the CRLB to evaluate algorithm effectiveness with and without model perturbations. This work provides theoretical guidance for designing high-precision, camera-free localization systems and for validating reconstruction algorithms under imperfect models.
Adviser: Dr. Ali Pezeshki
Co-Adviser: Dr. Randy Bartels
Non-ECE Member: Dr. Christopher Peterson
Member 3: Dr. Edwin Chong
Addional Members: N/A
Co-Adviser: Dr. Randy Bartels
Non-ECE Member: Dr. Christopher Peterson
Member 3: Dr. Edwin Chong
Addional Members: N/A
Publications:
First-Authored Publications:
1. Fisher information and the Cramér-Rao lower bound in single-pixel localization microscopy with spatiotemporally modulated illumination - Published in JOSA A, 2023
2. Misspecified Cramer-Rao Lower Bound with Poisson Statistics and its Application in Localization Microscopy – Submitted to Optics Letter, Under Review
Contributing Authors:
1. Statistical estimation theory detection limits for label-free imaging – Published in JBO, 2024
2. Aberration free synthetic aperture second harmonic generation holography – Published in Optics Express, 2023
3. Synthetic spatial aperture holographic third harmonic generation microscopy – Published in Optica, 2024
4. Speckle imaging with blind source separation and total variation deconvolution – Accepted and to be Published in Inverse Problems, 2024
Conference Presentations:
1. Large volume, high speed, single pixel localization – Presented in Photonic West 2023
First-Authored Publications:
1. Fisher information and the Cramér-Rao lower bound in single-pixel localization microscopy with spatiotemporally modulated illumination - Published in JOSA A, 2023
2. Misspecified Cramer-Rao Lower Bound with Poisson Statistics and its Application in Localization Microscopy – Submitted to Optics Letter, Under Review
Contributing Authors:
1. Statistical estimation theory detection limits for label-free imaging – Published in JBO, 2024
2. Aberration free synthetic aperture second harmonic generation holography – Published in Optics Express, 2023
3. Synthetic spatial aperture holographic third harmonic generation microscopy – Published in Optica, 2024
4. Speckle imaging with blind source separation and total variation deconvolution – Accepted and to be Published in Inverse Problems, 2024
Conference Presentations:
1. Large volume, high speed, single pixel localization – Presented in Photonic West 2023
Program of Study:
CS 545
ECE 502
ECE 503
ECE 513
ECE 514
ECE 520
ECE 652
ECE 653
CS 545
ECE 502
ECE 503
ECE 513
ECE 514
ECE 520
ECE 652
ECE 653