Computational geometry: an introduction
Computational geometry: an introduction
Surface algorithms using bounds on derivatives
Computer Aided Geometric Design
Shape preserving interpolation by curvature continuous parametric curves
Computer Aided Geometric Design
Procedural construction of patch-boundary curves
Curves and surfaces
Piecewise surface flattening for non-distorted texture mapping
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
Feature-based image metamorphosis
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
Efficient techniques for interactive texture placement
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Animating images with drawings
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Digital Image Warping
Size preserving pattern mapping
Proceedings of the conference on Visualization '98
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In this article, we show how mappings between the parameter space of a surface and the texture space can be used to control texture placement. We discuss how surfaces should be tessellated in order to meet various approximation criteria in either texture or object space, which leads to concepts of texture and geometric quality. We conclude by constructing linear and spline-based parameters to texture space mappings and illustrate the technique with several examples.