Variable-Speed Image Animation for Realistic Pixel Motion
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Solution Overview
Problem
Conventional animation systems generate unrealistic animations by moving pixels at constant speed, requiring manual adjustments for different regions, which is time-consuming and limits the ability to replicate variable speed rates like linear, exponential, logarithmic, or quadratic.
Innovation Solution
A variable speed system that receives a static digital image, an indication of movement direction, and a variable rate of speed to automatically generate a digital video with pixels moving at speeds that vary based on the selected rate, eliminating manual adjustments.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If conventional animation systems move pixels at constant speed, then the animation generation process is simple, but the animation becomes unrealistic
Solution Approach 1:
The patent implements dynamic speed control by allowing pixels to move at variable speeds rather than constant speeds. The system applies different speed rates (linear, exponential, logarithmic, sinusoidal, quadratic) to pixels based on their positions and movement directions, creating realistic acceleration and deceleration patterns that mimic natural motion while maintaining manageable system complexity through algorithmic control.
2Reliability
If manual adjustments are made to achieve variable speed animation, then animation realism improves, but time consumption increases
Solution Approach 1:
The system performs self-service by automatically calculating and applying variable speed rates to pixels without requiring manual adjustment. The processor autonomously determines the speed of each pixel based on predefined mathematical functions (linear, exponential, logarithmic, sinusoidal, quadratic) and movement parameters, eliminating time-consuming manual intervention while maintaining animation realism.
Solution Approach 2:
The patent changes the speed parameter dynamically across different pixels and time points. By applying mathematical functions that vary speed rates (e.g., exponential growth, sinusoidal oscillation, quadratic acceleration), the system automatically creates realistic motion patterns without manual adjustment, transforming the static speed parameter into a dynamic one that adapts to each pixel's context.
3Reliability
If conventional systems use constant pixel speed, then computational efficiency is maintained, but animation quality deteriorates
Solution Approach 1:
The patent applies local quality by assigning different speed characteristics to different pixels based on their specific positions and movement requirements. Rather than uniformly processing all pixels at the same speed, the system tailors the speed calculation for each pixel using local parameters such as distance from reference points, directional vectors, and selected mathematical functions, thereby improving animation quality while managing computational load through targeted processing.
4Reliability
If variable speed rates are implemented, then animation realism improves, but power consumption increases
Solution Approach 1:
The system implements dynamics by using mathematical functions to model natural motion patterns, which inherently include acceleration and deceleration phases. By selecting appropriate functions (e.g., exponential for rapid acceleration, logarithmic for gradual slowing), the system achieves realistic animation with variable speed rates while optimizing power consumption through efficient algorithmic computation rather than hardware-intensive approaches.
Data Source
AI summary
In implementation of techniques for generating video from an image based on variable speed, a computing device implements a variable speed system to receive a static digital image displayed in a user interface, an indication of a movement direction, and an indication of a variable rate of speed. The variable speed system generates a digital video based on the static digital image, the digital video having pixels that move in the movement direction at a speed that varies based on the variable rate of speed based on pixels from the static digital image. The variable speed system then displays the digital video in the user interface.