Jules Bloomenthal et al. :

Medial-Based Vertex Deformation, 2002.
Skeletal Methods of Shape Manipulation, 1999.
Introduction to Implicit Surfaces, 1997.
An Implicit Surface Polygonizer, 1994.

BibTeX references.

Web links:

Unchained Geometry Inc., Seattle : http://www.unchainedgeometry.com/
- Papers & freeware: http://www.unchainedgeometry.com/jbloom/papers

Medial-Based Vertex Deformation

Jules Bloomenthal
Proc. of ACM SIGGRAPH Symposium on Computer Animation (SCA'02), pp. 147-151,
San Antonio, Texas, July 2002

Abstract

Vertex deformation is a popular technique to animate an erstwhile static object. It is difficult, however, to deform those vertices near multiple limbs of the controlling stick-figure skeleton while maintaining a natural-appearing surface. By applying convolution to the medial axis/surface of the object, the weights associated with vertex deformation can be computed automatically. Fewer undesired artifacts are evidenced in the animated surface.

Notes:

Medial :

3D medial axis for the inside of an object.
made of surfaces and arcs, named primitves P_i, represented by triangles and segment.

Skeletal Methods of Shape Manipulation

J. Bloomenthal & Chek Lim,
Shape Modeling Int'l '99, (invited paper) 1-4 March, 1999 Aizu-Wakamatsu, Japan
IEEE Proceedings of International Conference on Shape Modeling and Applications, pp. 44-47.

Web link: paper content.

Abstract

The geometric skeleton is derived from a static object using an implicit `directions' method; an IK skeleton is derived from and used to manipulate the geometric skeleton. The model may be reconstructed from the modified skeleton using implicit distance and convolution methods.

Introduction to Implicit Surfaces

Jules Bloomenthal and Brian Wyvill, editors,
Morgan Kaufmann Publishers, 1997.

Web links:

ACM portal

An Implicit Surface Polygonizer

J. Bloomenthal
Graphics Gems IV, Morgan Kaufmann publ., Paul S. Heckbert ed., pp. 324-350, 1994

Summary:

An algorithm for the polygonization of implicit surfaces is described and an implementation in C is provided. The discussion reviews implicit surface polygonization, and compares various methods.

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