Lesson plan

Procedural surface

In computer graphics, a procedural surface is a representation of a surface as a mathematical implicit equation, rather than an explicit representation. An explicit representation, for example, describes a line as the straight segment going through two given points. A procedural surface is one which is defined as a procedure. For example, in CAD/Computer-aided manufacturing milling applications, an offset surface is a procedural representation because it is defined as the surface which is a fixed distance from another surface. Another well-known procedural edge on a 3D body is the silhouette edge. This edge is defined as the collection of points on a surface whose outwards surface normal is perpendicular to the view vector. Another example of a procedural surface is a Blob as illustrated in movies like The Abyss in the scene where the creature made up of water reaches out and touches the character. The surface is defined as a surface which exists when two or more control points are oriented in such a way as to make the contribution potential exceed a certain threshold. Such procedural surfaces require far more processing to calculate, and for this reason are often used in pre-rendered rather than real-time applications.…

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Article summary

In computer graphics, a procedural surface is a representation of a surface as a mathematical implicit equation, rather than an explicit representation. An explicit representation, for example, describes a line as the straight segment going through two given points. A procedural surface is one which is defined as a procedure. For example, in CAD/Computer-aided manufacturing milling applications, an offset surface is a procedural representation because it is defined as the surface which is a fixed distance from another surface. Another well-known procedural edge on a 3D body is the silhouette edge. This edge is defined as the collection of points on a surface whose outwards surface normal is perpendicular to the view vector. Another example of a procedural surface is a Blob as illustrated in movies like The Abyss in the scene where the creature made up of water reaches out and touches the character. The surface is defined as a surface which exists when two or more control points are oriented in such a way as to make the contribution potential exceed a certain threshold. Such procedural surfaces require far more processing to calculate, and for this reason are often used in pre-rendered rather than real-time applications.…

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Discussion questions

  1. Summarise the article in your own words. Which single claim would you verify first, and why?
  2. Which claim in this article is most likely to be revised as the sources update? How would you check its current status?
  3. If two sources disagreed about one of these facts, what would you need in order to trust one over the other?

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Key claims and bibliography are generated from the same tracked claims and sources as the article page.