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Related Concept Videos

Theorems of Pappus and Guldinus: Problem Solving01:12

Theorems of Pappus and Guldinus: Problem Solving

Pappus and Guldinus's theorems are powerful mathematical principles that are used for finding the surface area and volume of composite shapes. For example, consider a cylindrical storage tank with a conical top. Finding the surface area or volume can be challenging for such complex shapes. These theorems are particularly useful in calculating the volume and surface area of such systems. Here, the cylindrical storage tank with a conical top can be broken down into two simple shapes: a cylinder...
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Related Experiment Video

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Convergent Polishing: A Simple, Rapid, Full Aperture Polishing Process of High Quality Optical Flats & Spheres
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CST: constructive solid trimming for rendering BReps and CSG.

John Hable1, Jarek Rossignac

  • 1Worldwide Visualization Group, Electronic Arts, Vancouver, BC, Canada. jhable@ea.com

IEEE Transactions on Visualization and Computer Graphics
|July 12, 2007
PubMed
Summary

This study introduces Constructive Solid Trimming (CST) for efficient surface and solid modeling. This new GPU-based rendering algorithm enhances Constructive Solid Geometry (CSG) by improving speed and visual accuracy.

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Area of Science:

  • Computer Graphics
  • Geometric Modeling

Background:

  • Evaluating intersection curves in trimmed B-Rep (Boundary Representation) models is computationally intensive.
  • Existing methods for Constructive Solid Geometry (CSG) rendering can produce visual artifacts like speckles.

Purpose of the Study:

  • To introduce Constructive Solid Trimming (CST) as an alternative to explicit intersection curve evaluation.
  • To develop a novel GPU-based CSG rendering algorithm for improved efficiency and visual fidelity.

Main Methods:

  • A CST face is defined as the intersection of a surface with a Blist representation of a trimming CSG volume.
  • The proposed algorithm utilizes a GPU to trim primitive boundaries using a Blist of their active zones.

Main Results:

  • The CST approach eliminates the need for explicit intersection curve evaluation.
  • The new GPU-based algorithm is faster than the Blister approach and removes speckle artifacts.
  • The method enables new capabilities such as surface painting and rendering semitransparent CSG models.

Conclusions:

  • Constructive Solid Trimming (CST) offers a more efficient and robust method for handling trimmed surfaces in CSG modeling.
  • The GPU-accelerated rendering algorithm significantly improves CSG model visualization and adds valuable features.