Drawing Method for Congruent Surfaces in 3D Coordinate Systems
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Solution Overview
Problem
Conventional figure drawing methods in three-dimensional coordinate systems struggle to effectively display overlapping areas of congruent surfaces, lacking a systematic approach to differentiate and color these overlapping regions accurately.
Innovation Solution
A method and apparatus that assign specific drawing patterns to unit areas of congruent surfaces in a three-dimensional coordinate system, allowing for the differentiation and display of overlapping areas by using distinct colors for each surface, thereby enhancing visibility and understanding of the overlapping regions.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Loss of information
If conventional figure drawing methods are used to display overlapping areas of congruent surfaces in a three-dimensional coordinate system, then the drawing process is simple, but the overlapping areas cannot be effectively differentiated and displayed
Solution Approach 1:
The patent segments the congruent surfaces into multiple unit drawing areas (e.g., grid cells or polygons) that can be individually processed and assigned drawing patterns. This segmentation allows each unit area to be independently colored or patterned to represent different surfaces, thereby making overlapping regions distinguishable while maintaining a systematic drawing approach.
Solution Approach 2:
The patent applies local quality by assigning different drawing patterns (such as different colors, hatching, or textures) to different unit drawing areas based on which surface they belong to. This local differentiation ensures that overlapping areas are visually distinguishable through localized pattern assignment rather than uniform treatment, resolving the visibility issue without requiring complete redesign of the entire drawing system.
2Loss of information
If drawing patterns are assigned to unit areas to differentiate overlapping areas, then the visibility of overlapping regions is improved, but the drawing process becomes more complex
Solution Approach 1:
The patent implements preliminary action by pre-defining a set of drawing patterns and establishing a mapping relationship between surfaces and patterns before the actual drawing process. This preparation includes creating a lookup table or assignment rule set that specifies which pattern corresponds to which surface, allowing the drawing apparatus to efficiently retrieve and apply the correct pattern to each unit area without complex real-time decision-making, thus reducing process complexity while maintaining distinction capability.
Data Source
AI summary
According one embodiment, there is provided a drawing method, that comprises: when at least part of a first surface and at least part of a second surface are practically congruent to each other in a three-dimensional coordinate system, assigning each of a first drawing pattern related to the first surface and a second drawing pattern related to the second surface to any one of more than one unit drawing area forming the at least part of the first surface or the at least part of the second surface, drawing the more than one unit drawing area by using the first drawing pattern and the second drawing pattern each assigned to any one of the more than one unit drawing area, and thereby drawing the at least part of the first surface or the second surface.