Single-shot coded diffraction system for 3D object shape estimation

Samuel Pinilla, Laura Galvis, Karen Egiazarian, Henry Arguello

Research output: Contribution to journalConference articleScientificpeer-review


The three-dimensional (3D) shape reconstruction problem of an object is a task of high interest in autonomous vehicles, detection of moving objects, and precision agriculture. A common methodology to recover the 3D shape of an object is using its optical phase. However, this approach involves solving a non-convex computationally demanding inverse problem known as phase retrieval (PR) in a setup that records coded diffraction patterns (CDP). Usually, the acquisition of several snapshots from the scene is required to solve the PR problem. This work proposes a single-shot 3D shape estimation technique using the optical phase of the object from CDP. The presented approach consists on accurately estimating the optical phase of the object by low-pass-filtering the leading eigenvector of a carefully constructed matrix. Then, the estimated phase is used to infer the 3D object shape. It is important to mention that the estimation procedure does not involve a full time demanding reconstruction of the objects. Numerical results on synthetic data demonstrate that the proposed methodology closely estimates the 3D surface of an object with a normalized Mean-Square-Error of up to 0.27, under both noiseless and noisy scenarios. Additionally, the proposed method requires up to 60% less measurements to accurately estimate the 3D surface compared to a state-of-the-art methodology.

Original languageEnglish
Article number059
Number of pages6
JournalIS and T International Symposium on Electronic Imaging Science and Technology
Issue number6
Publication statusPublished - 26 Jan 2020
Publication typeA1 Journal article-refereed
EventIntelligent Robotics and Industrial Applications Using Computer Vision Conference -
Duration: 26 Jan 202030 Jan 2020

Publication forum classification

  • Publication forum level 1

ASJC Scopus subject areas

  • Computer Graphics and Computer-Aided Design
  • Computer Science Applications
  • Human-Computer Interaction
  • Software
  • Electrical and Electronic Engineering
  • Atomic and Molecular Physics, and Optics


Dive into the research topics of 'Single-shot coded diffraction system for 3D object shape estimation'. Together they form a unique fingerprint.

Cite this