.png){kind=icon}
.png){kind=icon}
Return
On computing structural changes in evolving surfaces and their appearance
.png){kind=icon}
PRE
AI
DOI：10.1023/A:1011170702891.png)
.png){kind=icon}
Original request for help.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
As a surface undergoes a one-parameter family of deformations, its shape and its appearance change smoothly except at certain critical parameter values where abrupt structural changes occur. This paper considers the case of surfaces defined as the zero set of smooth density functions undergoing a Gaussian diffusion process and addresses the problem of computing the critical parameter values corresponding to structural changes in the parabolic curves of a surface and in its aspect graph. An algorithm based on homotopy continuation and curve tracing is proposed in the case of polynomial density functions, whose zero set is an algebraic surface. It has been implemented and examples are presented.
Keywords:
shape representation
scale space
aspect graphs
differential geometry
algebraic surfaces
AI Summary
Key information extracted from the uploaded paper, including a brief overview, abstract, background, key highlights, visual analysis, and future outlook.
Journal
IF:
9.3
Papers:
3.9K
Citations:
2.8W
Organization
No organization information available