Radial Gradient Rendering via Annular Segmentation

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Solution Overview

Problem

Conventional methods for generating gradations in image printing and display require repeated fill-in processes, leading to a heavy processing load, especially when creating smooth color transitions in shapes like concentric circles.

Innovation Solution

An image generating device and method that extracts gradation pattern parameters to determine annular areas with specific widths, allowing each area to be drawn in a single color, reducing the processing load by using a RadialGradientBrush element to generate elliptical and circular radial gradations through affine transformations and inverse transformations.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Manufacturing precision

If repeated fill-in processes are used to draw concentric circles for gradation, then smooth color transitions are achieved, but processing load increases significantly

Engineering Contradiction:
Improvegradation smoothnessVSAvoidprocessing speed
Core Design Contradiction:
Manufacturing precisionVSProductivity

Solution Approach 1:

The gradation drawing is segmented into multiple annular areas with different color values. Instead of repeatedly filling overlapping circles, the invention divides the gradation region into discrete annular zones, each filled once with its specific color, thereby reducing redundant operations while maintaining smooth color transitions.

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The invention performs preliminary calculation to determine the boundaries and color values of each annular area before drawing. By pre-calculating the gradation parameters and dividing the area accordingly, the system avoids repeated fill operations and directly draws each annular region once with its predetermined color.

Inventive Principle:
Principle #10Preliminary action

2Manufacturing precision

If multiple overlapping circles are drawn successively, then gradation effect is achieved, but drawing time increases

Engineering Contradiction:
Improvecolor transition qualityVSAvoiddrawing time
Core Design Contradiction:
Manufacturing precisionVSLoss of time

Solution Approach 1:

The gradation is segmented into distinct annular areas rather than using overlapping circles. Each annular area is defined by inner and outer radii and is drawn once with a specific color value, eliminating the time-consuming repeated fill operations required by the conventional overlapping circle method.

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The invention changes the drawing parameters from repeated circle fills to annular area draws with varying color values. By parameterizing the annular areas (inner radius, outer radius, color value) and calculating them in advance, the system achieves efficient gradation rendering with reduced drawing time.

Inventive Principle:
Principle #35Parameter changes

3Manufacturing precision

If conventional fill-in method is used for each circle, then complete coverage is achieved, but processing complexity increases

Engineering Contradiction:
Improvearea coverageVSAvoidprocessing complexity
Core Design Contradiction:
Manufacturing precisionVSDevice complexity

Solution Approach 1:

The drawing area is segmented into non-overlapping annular regions instead of using overlapping circles with fill operations. This segmentation ensures complete coverage while simplifying the processing logic, as each annular area is drawn once without requiring subsequent overlay operations.

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

Instead of drawing from the center outward with expanding circles (conventional method), the invention draws annular areas by specifying inner and outer radii directly. This inverted approach eliminates the need for repeated fill operations and reduces processing complexity while maintaining complete area coverage.

Inventive Principle:
Principle #13The other way round (Inversion)

Data Source

PatentUS8300272B2Image generating device, image generating method and printing device
Publication Date: 2012.10.30 BROTHER KOGYO KK
  • US8300272B2 patent drawing
  • US8300272B2 patent drawing
  • US8300272B2 patent drawing

AI summary

An image generating device, for generating an image including a gradation (in which a color value specifying color changes from the center of the gradation through annular areas) according to an image drawing instruction, comprises an extraction unit that extracts gradation pattern parameters specifying a gradation pattern of the gradation from the image drawing instruction, an area determination unit that determines the annular areas, each having a prescribed width, to be drawn in one color with a uniform color value, based on the gradation pattern parameters extracted by the extraction unit, and a drawing unit that draws the annular areas such that each annular area is drawn in one color and the colors in annular areas are different from each other.