Ray Bilinear Patch Intersections

Shaun D. Ramsey Kristin Potter Charles Hansen
University of Utah University of Utah University of Utah
Salt Lake City, UT Salt Lake City, UT Salt Lake City, UT
email: ramsey( )cs.utah.edu email: kpotter( )cs.utah.edu email: hansen( )cs.utah.edu

JGT Volume 9, No. 3, pages TBA
Received October 28, 2003; accepted in revised form January 31,2004.

Abstract

Ray tracing and other techniques employ algorithms which require the intersection between a 3D parametric ray and an object to be computed. The object to intersect is typically a sphere, triangle, or polygon but many surface types are possible. In this work we consider intersections between rays and the simplest parametric surface, the bilinear patch. Unlike other surfaces, solving the ray-bilinear patch intersection with simple algebraic manipulations fails. We present a complete and graceful formulation to solve ray-bilinear patch intersections quickly.

  • Full Paper in pdf: Ray Bilinear Patch Intersections
  • Grab all the src files at bilinear.zip
  • Individual files are below:
  • a simple math test main.cc
  • bilinear source header: bilinear.h
  • bilinear source cc: bilinear.cc
  • a vector class implementation: Vector.h
  • some source is here: Vector.cc
  • The ray bilinear patch intersection software is "Open Source" according to the MIT License located at: http://www.opensource.org/licenses/mit-license.php

    Copyright (c) 2003 Shaun David Ramsey, Kristin Potter, Charles Hansen
    
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