Spherical Gradient Illumination for Surface Normal Mapping

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Solution Overview

Problem

Current reflectance acquisition techniques either miss spatially-varying effects of specular reflections or are overly data-intensive, complicating the capture of live objects' geometry and reflectance information.

Innovation Solution

The system generates surface normal maps using spherical gradient illumination patterns with controllable light sources and polarization techniques to independently estimate diffuse and specular normal maps, allowing for more efficient acquisition of reflectance information.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If many images of the object under a dense sampling of lighting directions are used to model spatially-varying BRDFs accurately, then measurement precision is improved, but device complexity and data intensity increase significantly

Engineering Contradiction:
Improveaccuracy of spatially-varying BRDF modelingVSAvoiddata intensity and capture complexity
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The patent segments the BRDF measurement problem by separating specular and diffuse reflection components. By using polarized spherical gradient illumination patterns, the system can independently measure and model each component, reducing the overall data requirements while maintaining accuracy in representing spatially-varying reflectance properties.

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The patent changes the illumination parameters by using polarized spherical gradient patterns instead of traditional dense sampling of lighting directions. This parameter transformation allows the system to achieve accurate BRDF modeling with significantly reduced data intensity, as the polarized gradient patterns encode spatial frequency information that directly relates to surface normal variations.

Inventive Principle:
Principle #35Parameter changes

2Device complexity

If a small number of lighting conditions are used to photograph the object, then device complexity is reduced, but measurement precision deteriorates due to missed spatially-varying effects

Engineering Contradiction:
Improvenumber of lighting conditionsVSAvoidaccuracy of reflectance modeling
Core Design Contradiction:
Device complexityVSMeasurement precision

Solution Approach 1:

The patent transforms the illumination from traditional directional lighting to polarized spherical gradient illumination. This parameter change allows the system to capture spatially-varying reflectance effects with only a few lighting conditions, as the gradient patterns inherently encode the spatial frequency information needed for accurate BRDF modeling without requiring dense sampling.

Inventive Principle:
Principle #35Parameter changes

3Ease of manufacture

If traditional photometric stereo is used to estimate surface normals, then the process is simple, but it cannot simultaneously estimate normals from multiple viewpoints or separate specular and diffuse components

Engineering Contradiction:
Improvesimplicity of normal estimation processVSAvoidability to estimate normals from multiple viewpoints and separate reflectance components
Core Design Contradiction:
Ease of manufactureVSAdaptability or versatility

Solution Approach 1:

The patent makes the illumination system universal by using polarized spherical gradient patterns that can simultaneously serve multiple functions: estimating surface normals from multiple viewpoints, separating specular and diffuse reflection components, and capturing spatial frequency information. This multi-functionality is achieved through the mathematical properties of polarized gradient illumination, which encodes multiple pieces of information in a single measurement.

Inventive Principle:
Principle #6Universality (Multi-functionality)

Solution Approach 2:

The patent segments the reflectance measurement by using polarized illumination patterns that separately excite specular and diffuse reflection paths. By analyzing the polarization state of reflected light, the system can independently estimate normal maps for each reflectance component, enabling versatile applications in rendering and 3D scanning while maintaining computational efficiency.

Inventive Principle:
Principle #1Segmentation

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

This approach enables accurate and efficient estimation of surface normal maps from both diffuse and specular reflectance, suitable for image rendering and high-resolution geometry scanning, while reducing data intensity and capturing detailed surface features.

Implementation Method 1

by placing polarizers on the light sources and in front of the camera so as to illuminate the surface of the object with polarized spherical gradient illumination patterns

Methodology Applied
Scientific EffectPolarization: Polarisation

Data Source

PatentUS8134555B2Acquisition of surface normal maps from spherical gradient illumination
Publication Date: 2012.03.13 UNIV OF SOUTHERN CALIFORNIA
  • US8134555B2 patent drawing
  • US8134555B2 patent drawing
  • US8134555B2 patent drawing

AI summary

An apparatus for generating a surface normal map of an object may include a plurality of light sources having intensities that are controllable so as to generate one or more gradient illumination patterns. The light sources are configured and arranged to illuminate the surface of the object with the gradient illumination patterns. A camera may receive light reflected from the illuminated surface of the object, and generate data representative of the reflected light. A processing system may process the data so as to estimate the surface normal map of the surface of the object. A specular normal map and a diffuse normal map of the surface of the object may be generated separately, by placing polarizers on the light sources and in front of the camera so as to illuminate the surface of the object with polarized spherical gradient illumination patterns.