Spatial Estimation Model Training via Curved Surface Regions

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Solution Overview

Problem

Current LiDAR and NeRF techniques inefficiently utilize spatial information, compressing distance information into zero-dimensional data, leading to suboptimal spatial training and underutilization of sensor data.

Innovation Solution

An arithmetic operation system and training method that acquire a spatial distribution signal using an emission wave across a region of interest, inputting sample point positions to a spatial estimation model, calculating estimated densities, and updating the model based on differences between teaching and estimated signals, allowing for more efficient utilization of sensor data.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Productivity

If line-integrating density distribution on a ray path during rendering, then rendering process can be completed, but spatial information is compressed into zero-dimensional data losing distance direction information

Engineering Contradiction:
Improverendering process efficiencyVSAvoidspatial information loss
Core Design Contradiction:
ProductivityVSLoss of information

Solution Approach 1:

The patent introduces a curved surface region as a new dimensional framework for sampling points, transitioning from traditional one-dimensional ray paths to two-dimensional curved surfaces. This allows preserving spatial distribution information across multiple dimensions while maintaining rendering efficiency. The curved surface region intersects multiple emission reference directions, enabling comprehensive spatial information capture without compression.

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

2Reliability

If using traditional NeRF training method, then three-dimensional structure can be trained, but training cost and calculation time are high

Engineering Contradiction:
Improvethree-dimensional structure trainingVSAvoidtraining time
Core Design Contradiction:
ReliabilityVSLoss of time

Solution Approach 1:

The patent segments the emission wave region into multiple curved surface regions, each intersecting multiple emission reference directions. By dividing the complex training task into manageable segments (curved surface regions with sample points), the system reduces computational complexity while maintaining training reliability. This segmentation allows parallel processing and reduces overall training time.

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The patent changes the parameter space from traditional ray-based one-dimensional integration to curved surface-based multi-dimensional sampling. By transforming the mathematical representation of emission paths from straight rays to curved surfaces intersecting multiple directions, the system achieves more efficient spatial information utilization and reduces training computational burden.

Inventive Principle:
Principle #35Parameter changes

3Measurement precision

If using traditional LiDAR and NeRF combination, then spatial structure can be estimated, but sensor data is not fully utilized

Engineering Contradiction:
Improvespatial structure estimationVSAvoidsensor data utilization
Core Design Contradiction:
Measurement precisionVSQuantity of substance

Solution Approach 1:

The patent creates a universal framework where curved surface regions can accommodate multiple emission reference directions and sensor types. This multi-functional approach allows the system to process and utilize spatial distribution signals from various sensors (LiDAR, cameras) within a unified training paradigm, maximizing sensor data utilization while maintaining estimation precision.

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

Data Source

PatentUS20240125935A1Arithmetic operation system, training method, and non-transitory computer readable medium storing training program
Publication Date: 2024.04.18 NEC CORP
  • US20240125935A1 patent drawing
  • US20240125935A1 patent drawing
  • US20240125935A1 patent drawing

AI summary

In an arithmetic operation system, an evaluation unit calculates a difference amount between a teaching signal and an estimated signal. The teaching signal has a value that is obtained by integrating spatial distribution signals observed by a sensor using emission waves for a spatial structure along a region of interest in an emission wave region in which emission waves are emitted from a plurality of emission reference directions and reach the sensor. The region of interest is a curved line region or a curved surface region intersecting the plurality of emission reference directions. This estimated signal is calculated by integrating a plurality of pieces of estimated density of a plurality of sample points obtained from a spatial estimation model by having a sampling unit input information about a position of each of the plurality of sample points on the region of interest to the spatial estimation model.