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  2. Line integral convolution - Wikipedia

    en.wikipedia.org/wiki/Line_integral_convolution

    Texture-based methods, like LIC, avoid these problems since they depict the entire vector field at point-like (pixel) resolution. [ 1 ] Compared to other integration-based techniques that compute field lines of the input vector field, LIC has the advantage that all structural features of the vector field are displayed, without the need to adapt ...

  3. Texture mapping - Wikipedia

    en.wikipedia.org/wiki/Texture_mapping

    A texture map [5] [6] is an image applied (mapped) to the surface of a shape or polygon. [7] This may be a bitmap image or a procedural texture.They may be stored in common image file formats, referenced by 3D model formats or material definitions, and assembled into resource bundles.

  4. List of formulas in Riemannian geometry - Wikipedia

    en.wikipedia.org/wiki/List_of_formulas_in...

    Download as PDF; Printable version; ... The divergence of a vector field with components ... Note that this transformation formula is for the mean curvature vector, ...

  5. Vector calculus identities - Wikipedia

    en.wikipedia.org/wiki/Vector_calculus_identities

    For a tensor field of order k > 1, the tensor field of order k is defined by the recursive relation = where is an arbitrary constant vector. A tensor field of order greater than one may be decomposed into a sum of outer products, and then the following identity may be used: = ().

  6. Vector field - Wikipedia

    en.wikipedia.org/wiki/Vector_field

    A vector field V defined on an open set S is called a gradient field or a conservative field if there exists a real-valued function (a scalar field) f on S such that = = (,,, …,). The associated flow is called the gradient flow , and is used in the method of gradient descent .

  7. Texture splatting - Wikipedia

    en.wikipedia.org/wiki/Texture_splatting

    Example of texture splatting, except an additional alphamap is applied. In computer graphics, texture splatting is a method for combining different textures.It works by applying an alphamap (also called a "weightmap" or a "splat map") to the higher levels, thereby revealing the layers underneath where the alphamap is partially or completely transparent.

  8. Stippling - Wikipedia

    en.wikipedia.org/wiki/Stippling

    Capodimonte porcelain jar painted in the stipple style of Giovanni Caselli with three figures of Pulcinella from the commedia dell'arte, 1745–1750 Graphics complex of a seashell with stipple shading modeled in Mathematica 13.1. Stippling is the creation of a pattern simulating varying degrees of solidity or shading by using small dots. Such a ...

  9. Gabor filter - Wikipedia

    en.wikipedia.org/wiki/Gabor_filter

    Its impulse response is defined by a sinusoidal wave (a plane wave for 2D Gabor filters) multiplied by a Gaussian function. [6] Because of the multiplication-convolution property (Convolution theorem), the Fourier transform of a Gabor filter's impulse response is the convolution of the Fourier transform of the harmonic function (sinusoidal function) and the Fourier transform of the Gaussian ...