2D Image 3D Rotation via Cylindrical Mapping
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Solution Overview
Problem
Creating 2D image animations that portray 3D rotation is a challenging task for artists, requiring significant time and skill, and existing methods either involve hand-drawing multiple views or using 3D models that can lose the desired 2D aesthetic.
Innovation Solution
A method that maps 2D source images to 3D transformation structures in a 3D space, creating special purpose data structures to produce transformed 2D images that appear to have rotated in 3D without using 3D models, thereby reducing computational resources.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Manufacturing precision
If artists hand-draw each view of the 2D character to portray 3D rotation, then the desired 2D aesthetic is maintained, but the time and skill required increase significantly
Solution Approach 1:
The patent maps 2D character images onto a 3D cylindrical surface, creating a 3D transformation structure. This allows the 2D character to be rotated in 3D space and projected back to 2D views automatically, eliminating the need for hand-drawing each rotation angle while preserving the original 2D aesthetic quality
Solution Approach 2:
The patent introduces a cylindrical mapping structure as an intermediary between the 2D character images and the 3D rotation effect. This intermediary structure enables automatic generation of rotated views through mathematical transformation rather than manual drawing, significantly reducing time while maintaining aesthetic quality
2Productivity
If artists use 3D models to produce 2D views with rotation, then the 3D rotation effect is achieved automatically, but the desired 2D aesthetic may be lost
Solution Approach 1:
Instead of creating a full 3D model, the patent uses 2D character images that are copied and mapped onto a cylindrical surface. The 3D rotation effect is achieved by rotating this cylindrical arrangement of 2D images and projecting them back to 2D views, maintaining the original 2D aesthetic while enabling automated rotation
Solution Approach 2:
The patent arranges 2D images in a 3D cylindrical configuration, allowing rotation in 3D space. When projected back to 2D, the images maintain their original aesthetic quality while the cylindrical structure enables smooth 3D rotation effects that would be difficult to achieve with traditional 2D animation
3Adaptability or versatility
If 3D models are used to create 2D animation sequences, then processing power is required for 3D rendering, but the ability to portray 3D rotation is achieved
Solution Approach 1:
The patent extracts only the essential rotational transformation mathematics from full 3D modeling and rendering. By using 2D images mapped to a cylindrical structure with 3D transformation matrices, the system achieves 3D rotation capability without the computational overhead of complete 3D model rendering
Solution Approach 2:
The patent uses 2D image copies arranged in a cylindrical structure instead of full 3D models. This approach requires significantly less computational resources while still achieving the desired 3D rotation effect through mathematical transformation and projection
Data Source
AI summary
Disclosed herein are methods, computer apparatus, and computer programs for creating two-dimensional (2D) image sequences with the appearance of three-dimensional (3D) rotation and depth.