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Keywords
(7)
Cubic Spline
Graphics Hardware
High Performance
Parametric Curve
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GPUbased trimming and tessellation of NURBS and TSpline surfaces
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Resolution independent curve rendering using programmable graphics hardware
Resolution independent curve rendering using programmable graphics hardware,10.1145/1073204.1073303,ACM Transactions on Graphics,Charles T. Loop,James
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Resolution independent curve rendering using programmable graphics hardware
(
Citations: 36
)
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Charles T. Loop
,
James F. Blinn
We present a method for resolution independent rendering of paths and bounded regions, defined by quadratic and
cubic spline
curves, that leverages the parallelism of
programmable graphics hardware
to achieve high performance. A simple implicit equation for a
parametric curve
is found in a space that can be thought of as an analog to texture space. The image of a curve's Bézier control points are found in this space and assigned to the control points as texture coordinates. When the triangle(s) corresponding to the Bézier curve control hull are rendered, a pixel shader program evaluates the implicit equation for a pixel's interpolated texture coordinates to determine an inside/outside test for the curve. We extend our technique to handle antialiasing of boundaries. We also construct a vector image from mosaics of triangulated Bézier control points and show how to deform such images to create resolution independent texture on
three dimensional
objects.
Journal:
ACM Transactions on Graphics  TOG
, vol. 24, no. 3, pp. 10001009, 2005
DOI:
10.1145/1073204.1073303
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Citation Context
(16)
...Loop and Blinn [
Loop and Blinn 05
] provide a method for rendering parametric curves based on implicit functions...
Ron Pfeifle
.
Rendering Cubic Curves on a GPU with Floater's Implicitization
...Loop and Blinn [
LB05
] make use of the rasterization hardware in a GPU to efficiently evaluate the implicit definition of quadratic, conic, and cubic curve segments, thus obtaining an inclusion predicate, but not a distance function...
Erik Ruf
.
Solving Distance Queries on Conic Curves
...In [
LB05
], they require a heavy preprocessing that includes segmenting the contour and embedding each segment in a triangle...
Carles Bosch
,
et al.
Realtime pathbased surface detail
...The article of Charles Loop [
5
] established the functional relationship between the radius of the snowflake and temperature, as the following equation:...
Chengming Zou
,
et al.
Algorithm for generating snow based on GPU
...Previous work that used GPUs to render NURBS curves or surfaces focused only on efficient evaluation of the surface coordinates and/or normals by the authors of [2], [3], [
6
], [7]...
Adarsh Krishnamurthy
,
et al.
Performing Efficient NURBS Modeling Operations on the GPU
References
(18)
Filtering edges for grayscale displays
(
Citations: 56
)
Satish Gupta
,
Robert F. Sproull
Journal:
ACM Siggraph Computer Graphics
, vol. 15, no. 3, pp. 15, 1981
Distance approximations for rasterizing implicit curves
(
Citations: 36
)
Gabriel Taubin
Journal:
ACM Transactions on Graphics  TOG
, vol. 13, no. 1, pp. 342, 1994
A Treatise on the Higher Plane Curves
(
Citations: 44
)
G. Salmon
Splatting Illuminated Ellipsoids with Depth Correction
(
Citations: 40
)
Stefan Gumhold
Conference:
Vision Modeling and Visualization  VMV
, pp. 245252, 2003
Silhouette maps for improved texture magnification
(
Citations: 34
)
Pradeep Sen
Conference:
Advances in Computer Graphics Hardware
, pp. 6573, 2004
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Citations
(36)
Rendering Cubic Curves on a GPU with Floater's Implicitization
Ron Pfeifle
Published in 2012.
Solving Distance Queries on Conic Curves
Erik Ruf
Published in 2011.
Surface Parametrization of Nonsimply Connected Planar Bézier Regions
(
Citations: 1
)
Orest Shardt
,
John C. Bowman
Journal:
Computing Research Repository  CORR
, vol. abs/1005.2, 2010
Extrusion and revolution mapping
Akram Halli
,
Abderrahim Saaidi
,
Khalid Satori
,
Hamid Tairi
Journal:
ACM Transactions on Graphics  TOG
, vol. 29, no. 5, pp. 114, 2010
Realtime pathbased surface detail
Carles Bosch
,
Gustavo Patow
Journal:
Computers & Graphics  CG
, vol. 34, no. 4, pp. 430440, 2010