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Vectors can be multiplied by scalars, added to other vectors, or subtracted from other vectors. The vector sum of two (or more) vectors is called the resultant vector or, for short, the resultant.
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Poisson's ratio is a material property that indicates their stress response. It explains the connection between the elongation or compression a material undergoes in the direction of an applied force and the contraction or expansion it experiences perpendicular to that force. When a slender bar is loaded axially, it stretches in the direction of the force and contracts laterally. Poisson's ratio is the negative ratio of this lateral contraction to the axial elongation. The negative sign...
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Related Experiment Video

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Poisson Vector Graphics (PVG).

Fei Hou, Qian Sun, Zheng Fang

    IEEE Transactions on Visualization and Computer Graphics
    |September 4, 2018
    PubMed
    Summary
    This summary is machine-generated.

    Poisson vector graphics (PVG) extends diffusion curves to create realistic images. This new method simplifies editing by separating color and tone, enabling seamless cloning and layered designs for photorealistic vector graphics.

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    Area of Science:

    • Computer Graphics
    • Image Synthesis

    Background:

    • Diffusion curves (DC) are popular for generating smooth-shaded images.
    • Existing methods may lack flexibility in achieving photorealistic effects.

    Purpose of the Study:

    • Introduce Poisson vector graphics (PVG) as an extension of diffusion curves.
    • Enable the creation of photorealistic effects like specular highlights and translucency.
    • Provide intuitive controls for color and tone manipulation.

    Main Methods:

    • PVG utilizes new primitives: Poisson curves and Poisson regions.
    • Color is specified as the Dirichlet boundary condition.
    • Tone is controlled by offsetting the Laplacian of colors.
    • Features include explicit color/tone separation, seamless cloning, and primitive intersection for layering.

    Main Results:

    • PVG successfully generates smooth-shaded, photorealistic images.
    • The system allows for intuitive user control via mouse clicks and sliders.
    • Demonstrated capabilities include specular highlights, core shadows, translucency, and halos.
    • Experiments and user studies confirm PVG's effectiveness.

    Conclusions:

    • Poisson vector graphics is a powerful and user-friendly tool for authoring photorealistic vector graphics.
    • PVG simplifies complex image generation tasks through its unique features.
    • The method offers a novel approach to vector graphics creation and editing.