Multivariate interpolation

Subdivision surface

In the field of 3D computer graphics, a subdivision surface (commonly shortened to SubD surface) is a curved surface represented by the specification of a coarser polygon mesh and produced by a recursive algorithmic method. The curved surface, the underlying inner mesh, can be calculated from the coarse mesh, known as the control cage or outer mesh, as the functional limit of an iterative process of subdividing each polygonal face into smaller faces that better approximate the final underlying curved surface. Less commonly, a simple algorithm is used to add geometry to a mesh by subdividing the faces into smaller ones without changing the overall shape or volume. (Wikipedia).

Subdivision surface
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Area and Perimeter of Geometric Figures

Worked out examples involving area and perimeter.

From playlist Geometry

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This video defines a cylindrical surface and explains how to graph a cylindrical surface. http://mathispower4u.yolasite.com/

From playlist Quadric, Surfaces, Cylindrical Coordinates and Spherical Coordinates

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From playlist Algebraic geometry: extra topics

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From playlist Oxford Mathematics Student Lectures - Geometry of Surfaces

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Lecture 11: Digital Geometry Processing (CMU 15-462/662)

Full playlist: https://www.youtube.com/playlist?list=PL9_jI1bdZmz2emSh0UQ5iOdT2xRHFHL7E Course information: http://15462.courses.cs.cmu.edu/

From playlist Computer Graphics (CMU 15-462/662)

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(New Version Available) Parameterized Surfaces

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From playlist Surface Integrals

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Full playlist: https://www.youtube.com/playlist?list=PL9_jI1bdZmz2emSh0UQ5iOdT2xRHFHL7E Course information: http://15462.courses.cs.cmu.edu/

From playlist Computer Graphics (CMU 15-462/662)

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Bojan Mohar: Embedding extension problems

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From playlist Mathematical Aspects of Computer Science

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From playlist TEDYouth Talks

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Tejas Kalelkar: An Algorithm to Identify Hyperbolic Manifolds from Their Geometric Triangulations

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From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022

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Karim Alexander Adiprasito - 5/6 - Lefschetz, Hodge and combinatorics...

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From playlist Combinatorics

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Tropical Geometry - Lecture 8 - Surfaces | Bernd Sturmfels

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From playlist Twelve Lectures on Tropical Geometry by Bernd Sturmfels

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From playlist Surface Area and Volume

Related pages

Neighbourhood (mathematics) | Polygon mesh | B-spline | Box spline | Catmull–Clark subdivision surface | Spline (mathematics) | Limit (mathematics) | Singular point of a curve | Loop subdivision surface | Bézier curve | Degree (graph theory) | Face (geometry) | Non-uniform rational B-spline | Computer representation of surfaces