A field interpolated texture mapping algorithm for skeletal implicit surfaces

Addresses the problem of texture mapping implicit surfaces. Recent work in providing 2D mappings for implicit surfaces maps points from an auxiliary parametric (support) surface to the implicit surface. In this work, we extend this method by observing that all commonly used skeletal elements are easily parameterized and can be used as their own support surfaces. In areas of a surface defined by the combination of multiple skeletal primitives, we compute a mapping through relations found with the zero-level surface of a primitive by using the gradient field.

[1]  Brian Wyvill,et al.  Extending the CSG Tree. Warping, Blending and Boolean Operations in an Implicit Surface Modeling System , 1999, Comput. Graph. Forum.

[2]  Geoff Wyvill,et al.  Solid Texturing of Soft Objects , 1987, IEEE Computer Graphics and Applications.

[3]  J. Bloomenthal Calculation of reference frames along a space curve , 1990 .

[4]  James F. Blinn,et al.  Texture and reflection in computer generated images , 1976, SIGGRAPH.

[5]  Jonas Gomes,et al.  Sampling implicit objects with physically-based particle systems , 1996, Comput. Graph..

[6]  S. Nash,et al.  Numerical methods and software , 1990 .

[7]  Brian Wyvill,et al.  Introduction to Implicit Surfaces , 1997 .

[8]  James F. Blinn,et al.  A generalization of algebraic surface drawing , 1982, SIGGRAPH.

[9]  Alan Watt,et al.  Advanced animation and rendering techniques , 1992 .

[10]  Andrei Sherstyuk Fast Ray Tracing of Implicit Surfaces , 1999, Comput. Graph. Forum.

[11]  A. Ricci,et al.  A Constructive Geometry for Computer Graphics , 1973, Computer/law journal.

[12]  Brian Wyvill,et al.  TEXTURE MAPPING THE BLOBTREE , 1998 .

[13]  Eric A. Bier,et al.  Two-Part Texture Mappings , 1986, IEEE Computer Graphics and Applications.

[14]  Paul S. Heckbert,et al.  Survey of Texture Mapping , 1986, IEEE Computer Graphics and Applications.

[15]  L. Velho,et al.  Texturing composite deformable implicit objects , 1998, Proceedings SIBGRAPI'98. International Symposium on Computer Graphics, Image Processing, and Vision (Cat. No.98EX237).

[16]  Hans Køhling Pedersen,et al.  Decorating implicit surfaces , 1995, SIGGRAPH.

[17]  Luiz Velho,et al.  Texturing implicit surfaces with particle systems , 1997, SIGGRAPH '97.

[18]  Edwin Earl Catmull,et al.  A subdivision algorithm for computer display of curved surfaces. , 1974 .