Astigmatic Optical Element for Depth Mapping

Resolve Bottlenecks,
Find Innovative Solutions
Generate Solutions

Solution Overview

Problem

Current optical 3D mapping techniques face challenges in accurately determining the distance of objects based on varying light patterns, as they often rely on complex setups or require relative movement between illumination and image capture assemblies, limiting their efficiency and practicality.

Innovation Solution

The use of an astigmatic optical element with different focal lengths in different meridional planes to project patterns that change shape with distance, allowing for the capture and processing of images to derive a 3D map without the need for complex setups or relative movement, by analyzing the elongation and shape variations of projected spots.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If structured light patterns are projected onto the object to enable 3D mapping, then depth information can be obtained, but the system complexity increases due to requiring multiple projectors and complex pattern analysis

Engineering Contradiction:
Improvedepth measurement accuracyVSAvoidsystem complexity
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The patent extracts and utilizes only the essential depth-encoded information from the projected pattern, rather than requiring complex multi-projector setups. The astigmatic optical element inherently encodes depth in the spot shape, simplifying the system while maintaining measurement precision.

Inventive Principle:
Principle #2Taking out (Extraction)

Solution Approach 2:

The patent changes the parameter of the projected light spots from uniform circular shapes to astigmatic elliptical shapes with orientation and aspect ratio variations. These shape parameter changes directly encode depth information, eliminating the need for complex structured light patterns and simplifying the overall system.

Inventive Principle:
Principle #35Parameter changes

2Measurement precision

If relative movement between illumination and image capture assemblies is used to obtain depth information, then 3D mapping can be achieved, but the measurement time increases

Engineering Contradiction:
Improvedepth mapping accuracyVSAvoidmeasurement time
Core Design Contradiction:
Measurement precisionVSLoss of time

Solution Approach 1:

The patent performs preliminary encoding of depth information into the spot shapes using the astigmatic optical element before image capture. This eliminates the need for time-consuming relative movement between assemblies, as all depth information is simultaneously available in the captured image.

Inventive Principle:
Principle #10Preliminary action

Solution Approach 2:

The patent replaces the mechanical relative movement system with an optical field-based solution. Instead of physically moving assemblies to gather depth information over time, the astigmatic optical element directly encodes depth in the light field, enabling instantaneous 3D mapping.

Inventive Principle:
Principle #28Mechanics substitution (Replace mechanical system)

3Device complexity

If simple circular light spots are projected onto the object, then the setup is simple, but depth information cannot be extracted from the spot shapes

Engineering Contradiction:
Improveoptical setup simplicityVSAvoiddepth information
Core Design Contradiction:
Device complexityVSLoss of information

Solution Approach 1:

The patent transforms the light spot parameter from simple circular symmetry to astigmatic elliptical symmetry with variable orientation and aspect ratio. These parameter changes enable depth information encoding while maintaining relative optical simplicity through the use of standard astigmatic optical elements.

Inventive Principle:
Principle #35Parameter changes

Solution Approach 2:

The patent applies local quality variation to the light spots by making each spot's shape characteristics (orientation, aspect ratio) dependent on the depth of the corresponding object point. This local shape variation encodes depth information without requiring complex global system changes.

Inventive Principle:
Principle #3Local quality

Applied Scientific Principles

This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.

Function Achieved in This Case

Enables accurate and efficient 3D mapping by determining object distances through shape and size analysis of projected patterns, enhancing the precision and simplicity of the 3D mapping process.

Implementation Method 1

an astigmatic optical element having different, respective focal lengths in different meridional planes of the element

Methodology Applied
Scientific EffectAstigmatism:

Implementation Method 2

capturing an image of the pattern on the object

Methodology Applied
Scientific EffectLight reflection: Reflection

Data Source

PatentUS8761495B2Distance-varying illumination and imaging techniques for depth mapping
Publication Date: 2014.06.24 APPLE INC
  • US8761495B2 patent drawing
  • US8761495B2 patent drawing
  • US8761495B2 patent drawing

AI summary

A method for mapping includes projecting a pattern onto an object (28) via an astigmatic optical element (38) having different, respective focal lengths in different meridional planes (54, 56) of the element. An image of the pattern on the object is captured and processed so as to derive a three-dimensional (3D) map of the object responsively to the different focal lengths.