Bi-Directional Texture Function for Accurate Car Paint Simulation

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Solution Overview

Problem

Current car paint color design processes are costly and time-consuming, and physical samples are inadequate for predicting how coatings will appear on complex three-dimensional shapes or in different lighting conditions, particularly for effect colors with gonioapparent effects.

Innovation Solution

Utilizing a bi-directional texture function (BTF) to generate digital models of car paint that accurately reproduce optical appearance, including spatially varying effects, by combining camera-based measurements with spectral reflectance data to optimize the BTF model.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If physical paint samples are used for color design, then color accuracy can be assessed, but the process is costly and time-consuming

Engineering Contradiction:
Improvecolor accuracyVSAvoiddevelopment time
Core Design Contradiction:
Measurement precisionVSLoss of time

Solution Approach 1:

The patent creates a digital copy of the physical paint sample in the form of a bidirectional texture function (BTF). This digital model captures the optical appearance characteristics of the paint under various illumination and viewing conditions, eliminating the need for repeated physical painting and measurement while maintaining color accuracy assessment capability

Inventive Principle:
Principle #26Copying

Solution Approach 2:

The patent performs preliminary measurement of the physical paint sample to capture its optical properties across different illumination and viewing angles. This preliminary action creates a comprehensive digital model that can be reused for multiple design iterations, eliminating the need for repeated physical painting and measurement processes

Inventive Principle:
Principle #10Preliminary action

2Measurement precision

If physical paint samples are used, then real optical appearance can be measured, but it is difficult to infer appearance on different three-dimensional shapes

Engineering Contradiction:
Improveoptical appearance measurementVSAvoidapplicability to different shapes
Core Design Contradiction:
Measurement precisionVSAdaptability or versatility

Solution Approach 1:

The patent creates a universal digital model (BTF) that represents the paint's optical properties independently of any specific geometry. This digital model can be applied to any three-dimensional shape through rendering, allowing the same paint formulation to be visualized on different vehicle bodies or surfaces without repainting physical samples

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

3Measurement precision

If physical paint samples are used, then color can be assessed, but it cannot accurately represent gonioapparent effects in different light settings

Engineering Contradiction:
Improvecolor assessmentVSAvoidlight setting representation
Core Design Contradiction:
Measurement precisionVSAdaptability or versatility

Solution Approach 1:

The patent transitions from two-dimensional physical samples to a six-dimensional digital representation (BTF) that incorporates illumination direction, viewing direction, and wavelength information. This dimensional expansion enables accurate representation of gonioapparent effects such as metallic flake pigments and pearlescent effects under various lighting conditions

Inventive Principle:
Principle #17Another dimension (Dimensionality change)

4Ease of manufacture

If small flat panels are painted, then cost is reduced, but the samples are inadequate for predicting appearance on complex shapes

Engineering Contradiction:
Improvepainting costVSAvoidappearance prediction accuracy
Core Design Contradiction:
Ease of manufactureVSMeasurement precision

Solution Approach 1:

The patent creates a digital copy of the paint's optical properties that can be applied to any geometry through rendering. This eliminates the need to paint complex three-dimensional samples while maintaining accurate prediction of appearance, as the digital model captures the essential optical characteristics without requiring expensive physical production

Inventive Principle:
Principle #26Copying

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 simulation and visualization of car paint colors and effects on complex vehicle shapes, reducing development time and costs while ensuring color matching and photorealistic representation.

Implementation Method 1

BTF is a representation of the appearance of texture as a function of viewing and illumination direction, i.e. viewing and illumination angle

Methodology Applied
Scientific EffectLight reflection: Reflection

Implementation Method 2

Car paints are often chosen as effect colors with gonioapparent effects, particularly caused by interference and/or metallic pigments

Methodology Applied
Scientific EffectInterference: Interference

Implementation Method 3

effect colors with gonioapparent effects, particularly caused by interference and/or metallic pigments, such as metallic flake pigments or special effect flake pigments

Methodology Applied
Scientific EffectLight scattering: Scattering

Data Source

PatentUS12444123B2Method of using a bi-directional texture function
Publication Date: 2025.10.14 BASF COATINGS GMBH
  • US12444123B2 patent drawing
  • US12444123B2 patent drawing
  • US12444123B2 patent drawing

AI summary

Described herein is a method of using a bi-directional texture function (BTF) of an object in design and development of automobiles and other everyday objects. Also described herein is a computer system that uses a BTF of an object to generate a representation of the object which accurately reproduces a visual appearance of the object at a given illumination of the object, where the representation is generated using a render engine.