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Fischer Projections

Fischer Projections

Learning to draw Fischer projections of molecules and understanding their relevance plays a crucial role in the visual depiction of organic molecules. A Fischer projection is a two-dimensional projection on a planar surface to simplify the three-dimensional wedge–dash representation of molecules. This is especially helpful in the case of molecules with multiple chiral centers that can be difficult to draw. Here, all the bonds of interest are represented as horizontal or vertical lines. While...

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Related Experiment Video

Updated: Dec 21, 2025

High-resolution, High-speed, Three-dimensional Video Imaging with Digital Fringe Projection Techniques

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Published on: December 3, 2013

Exhaustive dithering algorithm for 3D shape reconstruction by fringe projection profilometry.

Adriana Silva, Antonio Muñoz, Jorge L Flores

|May 14, 2020

Summary

This summary is machine-generated.

This study introduces an efficient method for 3D shape reconstruction using novel dithering patterns. The approach overcomes limitations of current techniques, improving accuracy and speed in 3D optical measurements.

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Area of Science:

Optics
Computer Vision
Metrology

Background:

Three-dimensional (3D) shape reconstruction often faces challenges with projector nonlinearity.
Existing patch-based methods for generating dithering patterns are slow and introduce unwanted harmonics.

Purpose of the Study:

To propose a novel, efficient method for generating dithering patterns for 3D shape reconstruction.
To overcome the limitations of current patch-based procedures and harmonic distortions.

Main Methods:

A deterministic approach to generate dithering patterns by composing 2D patches into 1D arrays.
Utilizing a 1D optimization problem in the intensity domain with reduced fringe pitch.
Employing a Hilbert transform method to eliminate distorting harmonics.

Main Results:

The proposed method significantly reduces pattern generation time.
Elimination of distorting harmonics leads to more accurate 3D shape reconstruction.
Effectiveness verified through numerical simulations and experimental results.

Conclusions:

The novel dithering pattern generation method offers an efficient and accurate solution for 3D shape reconstruction.
This technique addresses key limitations in current optical metrology approaches.
The Hilbert transform integration enhances the robustness of the reconstruction process.