Dynamic 3D Shape Expansion Display via Articulation Rules

Solution Overview

Problem

Current teaching demonstration software on electronic devices cannot dynamically display the expansion process of 3D shapes, hindering students' understanding of the transformation process.

Innovation Solution

A method and apparatus that determine a target expanded state of a 3D shape, search a multi-level information relationship table for articulation relationships, and control each plane surface to expand based on a predetermined rule, displaying the expansion process in real time.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Loss of information

If the expanded graphic of the 3D shape is displayed directly, then the display is simple and quick, but students cannot understand the transformation process in depth

Engineering Contradiction:

Improvetransformation process informationVSAvoiddisplay system complexity

Core Design Contradiction:

Loss of informationVSDevice complexity

Solution Approach 1:

The patent transforms the static display of expanded graphics into a dynamic animation process. The system controls the rotation angle of each plane surface dynamically through time-based animation parameters, allowing students to observe the transformation process from the 3D shape to its expanded form step by step, thereby retaining transformation process information while managing complexity through automated control.

Inventive Principle:

Principle #15Dynamics

Solution Approach 2:

The patent pre-calculates and stores the articulation relationship set and expansion rules in advance before the animation is displayed. The multi-level information relationship table and preset expansion rule library are prepared beforehand, which reduces real-time computational complexity during the actual display process while ensuring complete transformation process information is available.

Inventive Principle:

Principle #10Preliminary action

2Loss of information

If the expansion process is displayed dynamically, then students can understand the transformation process, but the system complexity increases

Engineering Contradiction:

Improvetransformation process informationVSAvoidsoftware system complexity

Core Design Contradiction:

Loss of informationVSDevice complexity

Solution Approach 1:

The patent segments the 3D shape into multiple plane surfaces and establishes articulation relationships between them. Each plane surface is treated as an independent element with specific rotation angles and expansion rules. This segmentation allows the complex transformation process to be broken down into manageable steps that can be controlled and displayed systematically, reducing software complexity while maintaining comprehensive transformation information.

Inventive Principle:

Principle #1Segmentation

Solution Approach 2:

The patent pre-calculates and stores the articulation relationship set and expansion rules in advance before the animation is displayed. The multi-level information relationship table and preset expansion rule library are prepared beforehand, which reduces real-time computational complexity during the actual display process while ensuring complete transformation process information is available.

Inventive Principle:

Principle #10Preliminary action

3Speed

If multiple plane surfaces are expanded simultaneously, then the expansion is completed quickly, but the transformation process becomes difficult to understand

Engineering Contradiction:

Improveexpansion speedVSAvoidtransformation process clarity

Core Design Contradiction:

SpeedVSLoss of information

Solution Approach 1:

The patent implements periodic action by controlling the animation display to show the expansion of each plane surface in sequential time periods. Each plane surface is expanded according to its specific expansion rule at different time intervals, allowing students to observe the transformation process clearly while the overall expansion is completed efficiently through automated sequential processing.

Inventive Principle:

Principle #19Periodic action

Solution Approach 2:

The patent transforms the static display of expanded graphics into a dynamic animation process. The system controls the rotation angle of each plane surface dynamically through time-based animation parameters, allowing students to observe the transformation process from the 3D shape to its expanded form step by step, thereby retaining transformation process information while managing complexity through automated control.

Inventive Principle:

Principle #15Dynamics

Data Source

PatentUS11100722B2Method, apparatus, electronic device, and storage medium for displaying 3D shape in expanded manner

Publication Date: 2021.08.24 GUANGZHOU SHIYUAN ELECTRONICS CO LTD

AI summary

Provided are a method, an apparatus, an electronic device, and a storage medium for displaying an expansion of a 3D shape, including: determining a 3D shape to be expanded, and acquiring a target expanded state of the 3D shape; searching a preset multi-level information relationship table for an articulation relationship set corresponding to the target expanded state; determining, according to the articulation relationship set and a preset expansion rule library, a target expansion rule for each target plane surface on the 3D shape; and controlling to expand each target plane surface at a predetermined a rate based on the each target expansion rule, and displaying the expansion process in real time. The method dynamically displays an expansion process of a 3D shape to a student, such that the student can understands more about the process of transformation from a 3D shape to a selected expanded state, thereby improving user experience of a teaching demonstration function on an electronic device.