Figure Drawing Apparatus Vertex Area Check
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Solution Overview
Problem
Conventional methods for drawing 3D stereoscopic figures struggle to efficiently render shapes like circular cylinders, elliptic cylinders, circular cones, and polygonal pyramids within a defined drawing area without requiring high-speed processors, and they do not effectively handle shapes that protrude beyond the drawing area.
Innovation Solution
A figure drawing apparatus and method that determines whether vertex coordinates of shapes are within the drawing area, adjusting and correcting them if necessary, to prevent unnecessary calculations and ensure accurate rendering within the area, thereby optimizing the drawing process without needing high-performance processors.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of manufacture
If conventional 3D graph plotting methods are used to draw stereoscopic figures, then the arithmetic process is relatively easy and can be realized without high-speed processors, but it is not possible to easily draw circular cylinders, circular cones, polygonal columns, and polygonal pyramids
Solution Approach 1:
The patent segments complex 3D shapes into multiple planar regions (polygons) that can be independently defined and drawn. By dividing the drawing area into multiple planes with different geometric definitions, the system can render circular cylinders, cones, and other complex shapes by combining multiple simple planar segments, thus achieving both ease of implementation and shape versatility.
Solution Approach 2:
The patent introduces a multi-plane dimensionality approach where multiple 2D planes are stacked and positioned in 3D space to create complex 3D shapes. Each plane can be independently defined with different geometric properties, and their combination in three-dimensional space enables the representation of complex geometries like circular cylinders and cones without requiring complex mathematical models for each shape.
2Reliability
If all shapes are drawn regardless of whether they are within the drawing area, then complete shapes are displayed, but unnecessary calculations increase when shapes protrude outside the area
Solution Approach 1:
The patent performs preliminary determination of shape boundaries relative to the drawing area before executing the actual drawing calculations. By pre-calculating which portions of shapes fall within the visible drawing area and which portions protrude outside, the system can selectively render only the necessary portions, avoiding unnecessary calculations for invisible parts while ensuring complete display of visible portions.
Data Source
AI summary
According to one embodiment, there is provided a control method of a figure drawing apparatus including a processor, the control method performed by the processor including a process in which, when drawing one or more arbitrary shapes formed by connecting a plurality of points included in a plane to be drawn and thereby drawing the plane to be drawn within a drawing area of a display screen of a display device, if a predetermined first combination of two or more points of the plurality of points of one arbitrary shape among the one or more arbitrary shapes is not located within the drawing area, the one arbitrary shape is not drawn within the drawing area of the display screen by the display device.