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  2. Spherical trigonometry - Wikipedia

    en.wikipedia.org/wiki/Spherical_trigonometry

    TriSph A free software to solve the spherical triangles, configurable to different practical applications and configured for gnomonic "Revisiting Spherical Trigonometry with Orthogonal Projectors" by Sudipto Banerjee. The paper derives the spherical law of cosines and law of sines using elementary linear algebra and projection matrices.

  3. 3D modeling - Wikipedia

    en.wikipedia.org/wiki/3D_modeling

    In 3D computer graphics, 3D modeling is the process of developing a mathematical coordinate-based representation of a surface of an object (inanimate or living) in three dimensions via specialized software by manipulating edges, vertices, and polygons in a simulated 3D space.

  4. Polygon mesh - Wikipedia

    en.wikipedia.org/wiki/Polygon_mesh

    Example of a low poly triangle mesh representing a dolphin. In 3D computer graphics and solid modeling, a polygon mesh is a collection of vertices, edge s and face s that defines the shape of a polyhedral object's surface. It simplifies rendering, as in a wire-frame model.

  5. Normal mapping - Wikipedia

    en.wikipedia.org/wiki/Normal_mapping

    A texture map (left). The corresponding normal map in tangent space (center). The normal map applied to a sphere in object space (right). Normal map reuse is made possible by encoding maps in tangent space. The tangent space is a vector space, which is tangent to the model's surface. The coordinate system varies smoothly (based on the ...

  6. Tangential angle - Wikipedia

    en.wikipedia.org/wiki/Tangential_angle

    In polar coordinates, the polar tangential angle is defined as the angle between the tangent line to the curve at the given point and ray from the origin to the point. [6] If ψ denotes the polar tangential angle, then ψ = φ − θ, where φ is as above and θ is, as usual, the polar angle.

  7. Static mesh - Wikipedia

    en.wikipedia.org/wiki/Static_mesh

    Static meshes are polygon meshes which constitute a major part of map architecture in many game engines, including Unreal Engine, Source, and Unity.The word "static" refers only to the fact that static meshes can't be vertex animated, as they can be moved, scaled, or reskinned in real-time.

  8. Polygonal modeling - Wikipedia

    en.wikipedia.org/wiki/Polygonal_modeling

    A polygon mesh of a dolphin In 3D computer graphics , polygonal modeling is an approach for modeling objects by representing or approximating their surfaces using polygon meshes . Polygonal modeling is well suited to scanline rendering and is therefore the method of choice for real-time computer graphics .

  9. Bézier curve - Wikipedia

    en.wikipedia.org/wiki/Bézier_curve

    Tangents to the parabola at the endpoints of the curve (A and B) intersect at its control point (C). If D is the midpoint of AB, the tangent to the curve which is perpendicular to CD (dashed cyan line) defines its vertex (V). Its axis of symmetry (dash-dot cyan) passes through V and is perpendicular to the tangent.