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They can be extended to non linear functions, such as perspective correct texture mapping, quadratic curves, and traversing voxels. In its simplest implementation for linear cases such as lines, the DDA algorithm interpolates values in interval by computing for each x i the equations x i = x i−1 + 1, y i = y i−1 + m, where m is the slope of ...
Texture streaming is a means of using data streams for textures, where each texture is available in two or more different resolutions, as to determine which texture should be loaded into memory and used based on draw distance from the viewer and how much memory is available for textures. Texture streaming allows a rendering engine to use low ...
Letting θ = t π /2, and applying the trigonometric identity cos θ = sin(π /2 − θ), this becomes the slerp formula. The factor of 1/sin Ω in the general formula is a normalization, since a vector p 1 at an angle of Ω to p 0 projects onto the perpendicular ⊥p 0 with a length of only sin Ω.
In 3D computer graphics software, vertex painting refers to interactive editing tools for modifying vertex attributes directly on a 3D polygon mesh, using painting tools similar to any digital painting application but working in a 3D viewport on a perspective view of a rotated model.
Most attributes of a vertex represent vectors in the space to be rendered. These vectors are typically 1 (x), 2 (x, y), or 3 (x, y, z) dimensional and can include a fourth homogeneous coordinate (w). These values are given meaning by a material description. In real-time rendering these properties are used by a vertex shader or vertex pipeline.
In this case, a gain factor for the texture is calculated for each vertex based on the light sources and the material properties associated with the corresponding triangle. In the later rasterization step, the vertex values of a triangle are interpolated over its surface. A general lighting (ambient light) is applied to all surfaces.
Unlike Gouraud shading, which interpolates colors across polygons, in Phong shading, a normal vector is linearly interpolated across the surface of the polygon from the polygon's vertex normals. The surface normal is interpolated and normalized at each pixel and then used in a reflection model, e.g. the Phong reflection model , to obtain the ...
Procedurally generated tiling textures. In computer graphics, a procedural texture [1] is a texture created using a mathematical description (i.e. an algorithm) rather than directly stored data. The advantage of this approach is low storage cost, unlimited texture resolution and easy texture mapping. [2]