Wavy Shape Generation Using Bounding Regions
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Solution Overview
Problem
Existing graphics and diagramming applications lack the ability to efficiently create wavy shapes that appear hand drawn or scribbled, limiting user creativity and document diversity.
Innovation Solution
The method involves determining parameters for a wavy shape effect and applying it to shapes, transforming straight lines and Bezier curves into uneven, curvy lines and curves, resembling hand-drawn or scribbled forms.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of manufacture
If standard straight lines and curves are used in graphic shapes, then the shapes maintain geometric precision and regularity, but the documents lack visual interest and hand-drawn aesthetic quality
Solution Approach 1:
The patent applies dynamics by transforming static straight lines and curves into dynamic wavy forms through mathematical functions. The system dynamically generates wavy shapes by applying sinusoidal and other mathematical functions to modify the coordinates of shape vertices, creating hand-drawn aesthetic quality while maintaining ease of manufacture through automated computational processes.
Solution Approach 2:
The patent employs parameter changes by modifying the mathematical parameters that define shape geometry. By changing parameters such as amplitude, wavelength, and phase of mathematical functions applied to shape vertices, the system transforms regular geometric shapes into wavy forms with hand-drawn characteristics, resolving the contradiction between manufacturing ease and aesthetic quality.
2Shape
If complex manual drawing techniques are used to create hand-drawn effects, then the aesthetic quality improves, but the time and effort required increases significantly
Solution Approach 1:
The patent replaces manual mechanical drawing operations with computational mathematical transformations. Instead of requiring users to manually draw wavy shapes with complex techniques, the system automatically applies mathematical functions to generate wavy forms, dramatically reducing the time and effort required while maintaining high aesthetic quality.
Solution Approach 2:
The patent uses copying by applying mathematical transformation functions to replicate and modify the coordinates of original shape vertices. This computational copying process efficiently generates wavy shapes that mimic hand-drawn aesthetics without requiring actual manual drawing, thus reducing time loss while preserving aesthetic quality.
3Adaptability or versatility
If basic shape tools are provided in graphic applications, then the application maintains simplicity and ease of use, but the document diversity and creativity options are limited
Solution Approach 1:
The patent applies universality by creating a multi-functional shape transformation system that can convert various types of shapes (rectangles, circles, polygons, etc.) into wavy forms using the same mathematical framework. This universal approach enhances document diversity and creativity options without significantly increasing application complexity, as the same core functionality handles multiple shape types.
Solution Approach 2:
The patent employs curvature by applying mathematical functions that introduce wavy distortions to shapes. This transforms basic geometric forms into more complex, visually interesting shapes with curves and undulations, thereby increasing document diversity and adaptability while maintaining relatively simple implementation through standardized mathematical operations.
Data Source
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AI summary
Embodiments disclosed herein provide methods and systems for producing wavy shapes, where the lines and/or curves that form the wavy shape are curvy and can appear hand drawn or scribbled. Initially, a shape is separated into one or more individual lines and/or one or more Bezier curves. Each original line is perturbed to produce a wavy line using bounding regions that constrain the amount of waviness produced in the line. Each Bezier curve is transformed into a wavy Bezier curve using bounding regions that constrain the amount of waviness produced in the Bezier curve. Each original line or Bezier curve can be modified to include, for example, one or more curves, one or more loops, a single arc, one or more spikes, and/or regular or irregular waviness.