Video Segmentation via Higher Order Dimensional Space
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Solution Overview
Problem
Segmenting videos based on object locations in existing systems is time-consuming and computationally intensive due to the need for processing in lower dimensional display spaces.
Innovation Solution
A system and method for segmenting videos by representing visual information in a higher order dimensional space, where visual information and object designations are transformed into a higher dimensional space with greater dimensionality, allowing for efficient object association and location correlation within the image.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of manufacture
If video segmentation is performed in lower dimensional display space, then visual reproduction is facilitated, but segmentation is time-consuming and computationally intensive
Solution Approach 1:
The patent transforms the segmentation problem from 2D display space to a higher dimensional space (e.g., 4D or 5D) by introducing additional dimensions such as temporal, frequency, or feature dimensions. This dimensional elevation enables more efficient computation of object associations by leveraging the geometric properties of higher dimensional spaces, where correlations can be computed more directly without the computational burden of traditional 2D image processing methods.
2Adaptability or versatility
If video segmentation is performed in lower dimensional display space, then display compatibility is maintained, but computational intensity increases
Solution Approach 1:
By performing computations in a higher dimensional space and then projecting results back to the original display space, the system maintains full compatibility with standard display devices while dramatically reducing the computational energy required for segmentation. The higher dimensional representation enables more efficient algorithms that exploit additional degrees of freedom in the data.
Solution Approach 2:
The higher dimensional space acts as an intermediary computational domain. Visual information is transformed into this intermediate space where segmentation computations are performed efficiently, and then the results are mapped back to the original display space for visualization. This intermediary representation enables computationally efficient processing while maintaining output compatibility.
3Productivity
If visual information is represented in higher order dimensional space, then object association efficiency improves, but representation complexity increases
Solution Approach 1:
The patent introduces higher dimensional representations where each additional dimension encodes specific properties of the visual information (such as temporal evolution, frequency content, or feature relationships). This structured approach to dimensionality increase maintains organization and interpretability while enabling efficient object association through geometric relationships in the higher dimensional space.
Data Source
AI summary
This disclosure relates to system and methods for segmenting a video in a higher order dimensional space. A video may be segmented by obtaining visual information defining an image of the video. The visual information may include pixels of the image and may be represented in a display space having a first dimensionality. A designation of a subset of the visual information represented in the display space as a part of an object portrayed in the image may be obtained. The visual information and the designation may be represented in the higher order dimensional space having a second dimensionality greater than the first dimensionality. An association of the visual information represented in the higher order dimensional space with the object may be obtained. The association may be correlated with the visual information represented in the display space. The correlation may define a location of the object in the image.