Volumetric Kernel Modeling for 3D Internal Material Properties
Find Innovative SolutionsGenerate Solutions
Solution Overview
Problem
Current CAD software is limited in representing and manipulating volumetric properties within three-dimensional objects, particularly in additive manufacturing, lacking the ability to define properties beyond object boundaries and integrate seamlessly with simulation and manufacturing workflows.
Innovation Solution
A unified volumetric kernel representation (VKR) approach that uses tensor-to-tensor maps for geometry manipulation and composition, incorporating fields with parameterized input and output structures to handle both discrete and continuous representations, enabling efficient modeling and visualization of volumetric data, including material mixing and porosity, and facilitating integration with existing CAD environments.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If traditional B-Rep format is used to store 3D geometry, then smooth and precise mathematical surfaces are achieved, but the ability to represent volumetric properties like porosity and material mixing is lost
Solution Approach 1:
The patent merges B-Rep boundary representation with volumetric property fields into a unified model structure. The volumetric kernel representation integrates both surface geometry (from B-Rep) and internal volumetric properties (porosity, material mixing, color) into a single coherent framework, allowing simultaneous access to both precise boundaries and internal material characteristics.
Solution Approach 2:
The patent transitions from traditional 2D surface-based B-Rep representation to a 3D volumetric representation by introducing scalar fields that define properties throughout the entire volume. This dimensional expansion allows the model to capture internal material variations that cannot be represented by surface geometry alone.
2Adaptability or versatility
If volumetric representation with fields is used to represent internal properties, then material mixing and porosity are captured, but computational complexity increases
Solution Approach 1:
The patent segments the volumetric representation into discrete fields (porosity field, material mixing field, color field) that can be independently evaluated and manipulated. Each field operates on the volumetric kernel separately, allowing modular computation that reduces overall complexity compared to a monolithic volumetric approach.
Solution Approach 2:
The volumetric kernel acts as an intermediary data structure that bridges traditional CAD B-Rep models and advanced manufacturing requirements. It provides a standardized interface for representing volumetric properties without requiring complete restructuring of existing CAD systems, thereby managing computational complexity through gradual integration.
3Adaptability or versatility
If unified volumetric kernel representation is implemented, then seamless integration with simulation and manufacturing workflows is achieved, but compatibility with existing CAD systems may be compromised
Solution Approach 1:
The volumetric kernel representation is designed as a universal data structure that can serve multiple functions: it maintains compatibility with traditional B-Rep CAD workflows while simultaneously supporting advanced additive manufacturing, simulation, and multi-material fabrication processes. This multi-functionality allows seamless integration across diverse workflows without sacrificing existing capabilities.
Data Source
AI summary
Methods, systems, and apparatus, including medium-encoded computer program products, for volumetric kernel representation of three dimensional models include: modeling a three dimensional object using a volumetric representation including fields that determine volumetric properties, each of the fields being parameterized by an input and output tensor structure, and at least one of the fields mapping tensor output of a first of the fields to tensor input of a second of the fields to provide a unified framework for geometry manipulation and composition that encompasses both discrete and continuous representations of materials in the three dimensional space; evaluating the fields including using coverage values that determine compositing behavior to generate output data corresponding to the volumetric properties; and providing the output data for the three dimensional object having physical characteristics that vary from point to point within a volume of the three dimensional object in accordance with the volumetric properties.