Equidistant Object Relocating System for Digital Documents
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Solution Overview
Problem
Conventional drawing and design systems face performance issues with large digital documents, experiencing lag and delays due to O(N2) computational complexity when providing automatic equidistant positioning for objects, leading to bottlenecks as the number of objects increases.
Innovation Solution
The system reduces computational complexity by generating overlapping object sets aligned with the subject object and traversing them based on distance to determine an equidistant position, using object caches and threshold tolerances to efficiently relocate objects in real-time, even with thousands of objects.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Manufacturing precision
If conventional design systems use O(N2) algorithms to provide spacing guides for equidistant positioning, then alignment precision is improved, but system performance deteriorates with large numbers of objects
Solution Approach 1:
The patent segments the set of all objects into two categories: reference objects (which remain stationary and serve as spacing anchors) and subject objects (which are being positioned). This segmentation allows the system to focus computations only on relationships between the subject object and reference objects, rather than computing pairwise distances among all objects. The segmentation is implemented by identifying objects that satisfy spacing guide criteria and treating them differently in the computational algorithm.
Solution Approach 2:
The patent extracts and caches the positions of reference objects into a separate data structure before processing subject object positioning. By extracting reference object positions into a cache, the system avoids repeatedly accessing and re-processing the full object set during positioning operations. This extraction reduces the computational burden from O(N2) to O(N) per subject object, as the cached reference positions can be quickly queried without re-evaluating all object pairs.
2Measurement precision
If conventional systems compute equidistant positions for all object pairs, then positioning accuracy is improved, but computational time increases exponentially
Solution Approach 1:
The patent performs preliminary action by pre-computing and caching the positions of reference objects before processing subject object positioning. This preliminary computation stores reference object coordinates in a cache structure that can be quickly queried during positioning operations. By performing this extraction and caching action beforehand, the system avoids redundant computations during the actual positioning phase, reducing computational time from O(N2) to O(N) per subject object while maintaining positioning accuracy.
3Manufacturing precision
If the system processes all movement events in real-time with O(N2) complexity, then positioning precision is maintained, but system responsiveness deteriorates
Solution Approach 1:
The patent segments objects into reference objects (cached positions) and subject objects (processed in real-time). This segmentation allows the system to maintain positioning precision by accurately computing subject object positions relative to reference objects, while improving responsiveness by avoiding O(N2) computations. The segmented approach processes only relevant object pairs (subject with reference objects) rather than all possible pairs, enabling real-time performance even with many objects.
Solution Approach 2:
The patent extracts reference object positions into a cache before real-time processing. This extraction creates a static reference framework that remains unchanged during user interaction, allowing the system to quickly compute subject object positioning without re-processing the entire object set. The cached reference positions enable O(N) per-subject computations instead of O(N2), maintaining precision while achieving real-time responsiveness.
Data Source
AI summary
The present disclosure relates to an equidistant object relocating system that facilitates efficiently and automatically relocating objects within a digital document to an equidistant position relative to other objects. For example, in some embodiments, the equidistant object relocating system identifies a subject object and reference objects, including their positions, within a digital document. Based on the position of the subject object, the equidistant object relocating system generates one or more sets of overlapping objects from the reference objects. In addition, the equidistant object relocating system determines an equidistant position for the subject object based on overlapping objects within the one or more sets of overlapping objects. Further, in these embodiments, the equidistant object relocating system automatically snaps the subject object to the equidistant position.